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Herbert E. Scarf

(deceased)

Citations

Many of the citations below have been collected in an experimental project, CitEc, where a more detailed citation analysis can be found. These are citations from works listed in RePEc that could be analyzed mechanically. So far, only a minority of all works could be analyzed. See under "Corrections" how you can help improve the citation analysis.

Wikipedia or ReplicationWiki mentions

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  1. Author Profile
    1. Herbert Scarf in Wikipedia (German)

Working papers

  1. Anna Fostel & Herbert E. Scarf & Michael J. Todd, 2003. "Two New Proofs of Afriat's Theorem," Cowles Foundation Discussion Papers 1415, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. John Quah, 2014. "A test for weakly separable preferences," Economics Series Working Papers 708, University of Oxford, Department of Economics.
    2. Alan Beggs, 2021. "Afriat and arbitrage," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 167-176, October.
    3. Laurens Cherchye & Bram De Rock & Vincenzo Platino, 2013. "Private versus public consumption within groups: testing the nature of goods from aggregate data," ULB Institutional Repository 2013/131703, ULB -- Universite Libre de Bruxelles.
    4. Andrés Carvajal & Rahul Deb & James Fenske & John Quah, 2014. "A nonparametric analysis of multi-product oligopolies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(2), pages 253-277, October.
    5. D. Wade Hands, 2014. "Paul Samuelson and Revealed Preference Theory," History of Political Economy, Duke University Press, vol. 46(1), pages 85-116, Spring.
    6. Teo Chung Piaw & Rakesh V. Vohra, 2003. "Afrait's Theorem and Negative Cycles," Discussion Papers 1377, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    7. Guy Barokas, 2020. "Identifying changing taste from demand data via golden eggs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(1), pages 47-68, January.
    8. Matthew Polisson & Ludovic Renou, 2016. "Afriat's Theorem and Samuelson's `Eternal Darkness'," Discussion Papers in Economics 16/09, Division of Economics, School of Business, University of Leicester.
    9. Alfred Galichon & John Quah, 2013. "Symposium on revealed preference analysis," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 419-423, November.
    10. John Geanakoplos, 2013. "Afriat from MaxMin," Cowles Foundation Discussion Papers 1904, Cowles Foundation for Research in Economics, Yale University.
    11. Santiago Sanchez-Pages, 2012. "(Don't) Make My Vote Count," Edinburgh School of Economics Discussion Paper Series 213, Edinburgh School of Economics, University of Edinburgh.
    12. Forges, Françoise & Iehlé, Vincent, 2014. "Afriat’s theorem for indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 1-6.
    13. David Laibson & Leeat Yariv, 2007. "Safety in Markets: An Impossibility Theorem for Dutch Books," Working Papers 2007-5, Princeton University. Economics Department..
    14. John Geanakoplos, 2013. "Afriat from MaxMin," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 443-448, November.
    15. Halevy, Yoram & Persitz, Dotan & Zrill, Lanny, 2015. "Non-Parametric Bounds for Non-Convex Preferences," Microeconomics.ca working papers yoram_halevy-2015-23, Vancouver School of Economics, revised 16 Oct 2016.
    16. Matthew Polisson, 2012. "Goods versus characteristics: dimension reduction and revealed preference," IFS Working Papers W12/02, Institute for Fiscal Studies.
    17. Federico Echenique & Alfred Galichon, 2014. "Ordinal and cardinal solution concepts for two-sided matching," Sciences Po publications info:hdl:2441/5k6c74nfqf9, Sciences Po.
    18. Thomas Demuynck & John Rehbeck, 2021. "Computing Revealed Preference Goodness of fit Measures with Integer Programming," Working Papers ECARES 2021-26, ULB -- Universite Libre de Bruxelles.
    19. Leeat Yariv, 2004. "Safety in Markets: An Impossibility Theorem for Dutch Books," Theory workshop papers 658612000000000072, UCLA Department of Economics.
    20. Ivar Ekeland & Alfred Galichon, 2013. "The Housing Problem and Revealed Preference Theory: Duality and an application," Post-Print hal-01059558, HAL.
    21. Matthew Polisson & John K.-H. Quah, 2013. "Revealed preference tests under risk and uncertainty," Discussion Papers in Economics 13/24, Division of Economics, School of Business, University of Leicester.
    22. Green, Jerry & Hojman, Daniel, 2007. "Choice, Rationality and Welfare Measurement," Working Paper Series rwp07-054, Harvard University, John F. Kennedy School of Government.
    23. Victor H. Aguiar & Roberto Serrano, 2018. "Cardinal Revealed Preference, Price-Dependent Utility, and Consistent Binary Choice," Working Papers 2018-3, Brown University, Department of Economics.
    24. Yoram Halevy & Dotan Persitz & Lanny Zrill, 2018. "Parametric Recoverability of Preferences," Journal of Political Economy, University of Chicago Press, vol. 126(4), pages 1558-1593.
    25. Per Hjertstrand & James Swofford, 2012. "Revealed preference tests for consistency with weakly separable indirect utility," Theory and Decision, Springer, vol. 72(2), pages 245-256, February.
    26. Shiozawa, Kohei, 2016. "Revealed preference test and shortest path problem; graph theoretic structure of the rationalizability test," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 38-48.
    27. Apartsin, Yevgenia & Kannai, Yakar, 2006. "Demand properties of concavifiable preferences," Journal of Mathematical Economics, Elsevier, vol. 43(1), pages 36-55, December.
    28. Francoise Forges & Vincent Iehlé, 2013. "Essential Data, Budget Sets and Rationalization," Post-Print halshs-00727806, HAL.
    29. Laura Blow & Richard Blundell, 2018. "A Nonparametric Revealed Preference Approach to Measuring the Value of Environmental Quality," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 69(3), pages 503-527, March.
    30. Thomas Demuynck & Christian Seel, 2018. "Revealed preference with limited consideration," ULB Institutional Repository 2013/251989, ULB -- Universite Libre de Bruxelles.
    31. Matthew Polisson & John K.-H. Quah, 2013. "Revealed Preference in a Discrete Consumption Space," American Economic Journal: Microeconomics, American Economic Association, vol. 5(1), pages 28-34, February.
    32. Laurens Cherchye & Thomas Demuynck & Bram De Rock, 2012. "Revealed Preference Analysis for Convex Rationalizations on Nonlinear Budget Sets," Working Papers ECARES ECARES 2012-044, ULB -- Universite Libre de Bruxelles.
    33. John Quah, 2012. "A revealed preference test for weakly separable preferences," Economics Series Working Papers 601, University of Oxford, Department of Economics.
    34. Sam Cosaert & Thomas Demuynck, 2015. "Revealed preference theory for finite choice sets," ULB Institutional Repository 2013/251997, ULB -- Universite Libre de Bruxelles.
    35. Francoise Forges & Enrico Minelli, 2006. "Afriat's Theorem for General Budget Sets," Working Papers ubs0609, University of Brescia, Department of Economics.
    36. Sam Cosaert & Veerle Hennebel, 2023. "Parental Childcare with Process Benefits," Economica, London School of Economics and Political Science, vol. 90(357), pages 339-371, January.
    37. Sákovics, József, 2012. "Revealed cardinal preference," SIRE Discussion Papers 2012-02, Scottish Institute for Research in Economics (SIRE).
    38. Pawel Dziewulski, 2019. "Just-noticeable difference as a behavioural foundation of the critical cost-efficiency index," Working Paper Series 0519, Department of Economics, University of Sussex Business School.
    39. Aguiar, Victor H. & Serrano, Roberto, 2021. "Cardinal revealed preference: Disentangling transitivity and consistent binary choice," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    40. Matthew Polisson, 2011. "Goods Versus Characteristics: Revealed Preference Procedures for Nested Models," Economics Series Working Papers 531, University of Oxford, Department of Economics.
    41. John Geanakoplos, 2013. "Afriat from MaxMin," Levine's Working Paper Archive 786969000000000746, David K. Levine.
    42. Kohei Shiozawa, 2015. "Revealed Preference Test and Shortest Path Problem; Graph Theoretic Structure of the Rationalizability Test," Discussion Papers in Economics and Business 15-17-Rev., Osaka University, Graduate School of Economics, revised Jul 2015.
    43. Satoru Fujishige & Zaifu Yang, 2012. "On Revealed Preference and Indivisibilities," Discussion Papers 12/02, Department of Economics, University of York.
    44. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, January.
    45. Christopher Chambers & Federico Echenique, 2009. "Profit maximization and supermodular technology," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 173-183, August.
    46. Pawel Dziewulski, 2021. "A comprehensive revealed preference approach to approximate utility maximisation," Working Paper Series 0621, Department of Economics, University of Sussex Business School.
    47. Hiroki Nishimura & Efe A. Ok & John K.-H. Quah, 2014. "A Unified Approach to Revealed Preference Theory: The Case of Rational Choice," Working Papers 201418, University of California at Riverside, Department of Economics.
    48. Lee, Chia-Yen & Johnson, Andrew L. & Moreno-Centeno, Erick & Kuosmanen, Timo, 2013. "A more efficient algorithm for Convex Nonparametric Least Squares," European Journal of Operational Research, Elsevier, vol. 227(2), pages 391-400.
    49. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    50. Kohei Shiozawa, 2015. "Revealed Preference Test and Shortest Path Problem; Graph Theoretic Structure of the Rationalizability Test," Discussion Papers in Economics and Business 15-17-Rev.2, Osaka University, Graduate School of Economics, revised Aug 2016.
    51. Laurens Cherchye & Thomas Demuynck & Bram De Rock & Joshua Lanier, 2020. "Are Consumers Rational ?Shifting the Burden of Proof," Working Papers ECARES 2020-19, ULB -- Universite Libre de Bruxelles.
    52. Kolesnikov, Alexander V. & Kudryavtseva, Olga V. & Nagapetyan, Tigran, 2013. "Remarks on Afriat’s theorem and the Monge–Kantorovich problem," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 501-505.
    53. Kohei Shiozawa, 2015. "Revealed Preference Test and Shortest Path Problem; Graph Theoretic Structure of the Rationalizability Test," Discussion Papers in Economics and Business 15-17, Osaka University, Graduate School of Economics.

  2. William C. Brainard & Herbert E. Scarf, 2000. "How to Compute Equilibrium Prices in 1891," Cowles Foundation Discussion Papers 1272, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. Cheung, Yun Kuen & Cole, Richard & Devanur, Nikhil R., 2020. "Tatonnement beyond gross substitutes? Gradient descent to the rescue," Games and Economic Behavior, Elsevier, vol. 123(C), pages 295-326.
    2. Camacho, Franklin & Fonseca-Delgado, Rigoberto & Pino Pérez, Ramón & Tapia, Guido, 2023. "Generalized binary utility functions and fair allocations," Mathematical Social Sciences, Elsevier, vol. 121(C), pages 50-60.
    3. Chuangyin Dang & Yinyu Ye & Zhisu Zhu, 2011. "An interior-point path-following algorithm for computing a Leontief economy equilibrium," Computational Optimization and Applications, Springer, vol. 50(2), pages 223-236, October.
    4. Bruno Codenotti & Kasturi Varadarajan, 2005. "Market Equilibrium in Exchange Economies with Some Families of Concave Utility Functions," Computational Economics 0503001, University Library of Munich, Germany.
    5. Taheri Tehrani, Mohammad & Afshin Hemmatyar, Ali Mohammad, 2019. "Welfare-aware strategic demand control in an intelligent market-based framework: Move towards sustainable smart grid," Applied Energy, Elsevier, vol. 251(C), pages 1-1.
    6. Jain, Kamal & Vazirani, Vijay V., 2010. "Eisenberg-Gale markets: Algorithms and game-theoretic properties," Games and Economic Behavior, Elsevier, vol. 70(1), pages 84-106, September.
    7. Donald J. Brown, 2014. "Approximate Solutions of the Walrasian Equilibrium Inequalities with Bounded Marginal Utilities of Income," Cowles Foundation Discussion Papers 1955, Cowles Foundation for Research in Economics, Yale University.
    8. Denizalp Goktas & Jiayi Zhao & Amy Greenwald, 2022. "Robust No-Regret Learning in Min-Max Stackelberg Games," Papers 2203.14126, arXiv.org, revised Apr 2022.
    9. Robert W. Dimand, 2019. "Léon Walras, Irving Fisher and the Cowles Approach to General Equilibrium Analysis," Cowles Foundation Discussion Papers 2205, Cowles Foundation for Research in Economics, Yale University.
    10. Denizalp Goktas & Amy Greenwald, 2022. "Gradient Descent Ascent in Min-Max Stackelberg Games," Papers 2208.09690, arXiv.org.
    11. Moshe Babaioff & Noam Nisan & Inbal Talgam-Cohen, 2021. "Competitive Equilibrium with Indivisible Goods and Generic Budgets," Mathematics of Operations Research, INFORMS, vol. 46(1), pages 382-403, February.
    12. Devanur, Nikhil R. & Garg, Jugal & Végh, László A., 2016. "A rational convex program for linear Arrow-Debreu markets," LSE Research Online Documents on Economics 69224, London School of Economics and Political Science, LSE Library.
    13. Devansh Jalota & Yinyu Ye, 2022. "Stochastic Online Fisher Markets: Static Pricing Limits and Adaptive Enhancements," Papers 2205.00825, arXiv.org, revised Jan 2023.
    14. Ortega, Josué, 2020. "Multi-unit assignment under dichotomous preferences," Mathematical Social Sciences, Elsevier, vol. 103(C), pages 15-24.
    15. K. Vela Velupillai & Stefano Zambelli, 2010. "Computation in Economics," ASSRU Discussion Papers 1001, ASSRU - Algorithmic Social Science Research Unit.
    16. Jalota, Devansh & Pavone, Marco & Qi, Qi & Ye, Yinyu, 2023. "Fisher markets with linear constraints: Equilibrium properties and efficient distributed algorithms," Games and Economic Behavior, Elsevier, vol. 141(C), pages 223-260.
    17. Giocoli, Nicola, 2005. "Mathematics as the role model for neoclassical economics (Blanqui Lecture)," MPRA Paper 33806, University Library of Munich, Germany.
    18. Allan Borodin & Akash Rakheja, 2019. "Electronic markets with multiple submodular buyers," Papers 1907.11915, arXiv.org, revised Sep 2019.
    19. Kamesh Munagala & Yiheng Shen & Kangning Wang & Zhiyi Wang, 2021. "Approximate Core for Committee Selection via Multilinear Extension and Market Clearing," Papers 2110.12499, arXiv.org.
    20. K. Vela Velupillai, 2011. "The Phillips Machine, the Analogue Computing Tradition in Economics and Computability," Economia politica, Società editrice il Mulino, issue 1, pages 39-62.
    21. Jean-Sébastien Lenfant & Jérôme Lallement, 2004. "L'équilibre général comme savoir : de Walras à nos jours," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01765036, HAL.
    22. Mehdi Ghiyasvand & James B. Orlin, 2012. "A Simple Approximation Algorithm for Computing Arrow-Debreu Prices," Operations Research, INFORMS, vol. 60(5), pages 1245-1248, October.
    23. Nesterov, Y & Shikhman, V., 2015. "Computation of Fisher-Gale equilibrium by auction," LIDAM Discussion Papers CORE 2015035, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    24. K. Vela Velupillai, 2010. "Introduction to the Phillips Machine and the Analogue Computing Tradition in Economics," ASSRU Discussion Papers 1008, ASSRU - Algorithmic Social Science Research Unit.
    25. Denizalp Goktas & Enrique Areyan Viqueira & Amy Greenwald, 2021. "A Consumer-Theoretic Characterization of Fisher Market Equilibria," Papers 2107.08153, arXiv.org, revised Jan 2022.
    26. Nikhil Garg & Ashish Goel & Benjamin Plaut, 2021. "Markets for public decision-making," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(4), pages 755-801, May.
    27. Simina Br^anzei & Nikhil R. Devanur & Yuval Rabani, 2019. "Proportional Dynamics in Exchange Economies," Papers 1907.05037, arXiv.org, revised Sep 2023.
    28. Hao Guo & Weidong Li & Bin Deng, 2023. "A Survey on Fair Allocation of Chores," Mathematics, MDPI, vol. 11(16), pages 1-28, August.
    29. Denizalp Goktas & Jiayi Zhao & Amy Greenwald, 2023. "T\^atonnement in Homothetic Fisher Markets," Papers 2306.04890, arXiv.org.
    30. Simina Br^anzei & Fedor Sandomirskiy, 2019. "Algorithms for Competitive Division of Chores," Papers 1907.01766, arXiv.org, revised Jul 2023.
    31. Ashish Goel & Reyna Hulett & Benjamin Plaut, 2018. "Markets Beyond Nash Welfare for Leontief Utilities," Papers 1807.05293, arXiv.org, revised Dec 2019.
    32. Eric Budish, 2011. "The Combinatorial Assignment Problem: Approximate Competitive Equilibrium from Equal Incomes," Journal of Political Economy, University of Chicago Press, vol. 119(6), pages 1061-1103.
    33. Bongers, Anelí & Molinari, Benedetto & Torres, José L., 2022. "Computers, Programming and Dynamic General Equilibrium Macroeconomic Modeling," MPRA Paper 112505, University Library of Munich, Germany.

  3. Herbert E. Scarf, 2000. "Optimal Inventory Policies When Sales Are Discretionary," Cowles Foundation Discussion Papers 1270, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. Herbert E. Scarf, 2002. "Inventory Theory," Operations Research, INFORMS, vol. 50(1), pages 186-191, February.
    2. Shoshana Anily & Abraham Grosfeld-Nir, 2006. "An Optimal Lot-Sizing and Offline Inspection Policy in the Case of Nonrigid Demand," Operations Research, INFORMS, vol. 54(2), pages 311-323, April.
    3. Mart, Turgut & Duran, Serhan & Bakal, İsmail Serdar, 2013. "Tactical inventory and backorder decisions for systems with predictable production yield," International Journal of Production Economics, Elsevier, vol. 143(2), pages 294-303.

  4. Imre Barany & Herbert E. Scarf & David F. Shallcross, 1994. "The Topological Structure of Maximal Lattice Free Convex Bodies: The General Case," Cowles Foundation Discussion Papers 1087, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. Imre Bárány & Herbert Scarf, 2008. "Matrices with Identical Sets of Neighbors," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 10, pages 179-189, Palgrave Macmillan.
    2. Herbert E. Scarf & Kevin M. Woods, 2004. "Neighborhood Complexes and Generating Functions for Affine Semigroups," Cowles Foundation Discussion Papers 1458, Cowles Foundation for Research in Economics, Yale University.

  5. Herbert E. Scarf, 1994. "The Allocation of Resources in the Presence of Indivisibilities," Cowles Foundation Discussion Papers 1068, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. Tone, Kaoru & Sahoo, Biresh K., 2003. "Scale, indivisibilities and production function in data envelopment analysis," International Journal of Production Economics, Elsevier, vol. 84(2), pages 165-192, May.
    2. Koshevoy, G.A. & Talman, A.J.J., 2002. "Competitive Equilibria in Economies with Multiple Divisible and Multiple Divisible Commodities," Other publications TiSEM b80a97ac-bf8d-429f-98ce-7, Tilburg University, School of Economics and Management.
    3. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 1999. "Existence and Welfare Properties of Equilibrium in an Exchange Economy with Multiple Divisible, Indivisible Commodities and Linear Production Technologies," Other publications TiSEM e7e05539-3fab-4998-818d-0, Tilburg University, School of Economics and Management.
    4. van der Laan, Gerard & Talman, Dolf & Yang, Zaifu, 2002. "Existence and Welfare Properties of Equilibrium in an Exchange Economy with Multiple Divisible and Indivisible Commodities and Linear Production Technologies," Journal of Economic Theory, Elsevier, vol. 103(2), pages 411-428, April.
    5. Walter Briec & Kristiaan Kerstens, 2006. "Input, output and graph technical efficiency measures on non-convex FDH models with various scaling laws: An integrated approach based upon implicit enumeration algorithms," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 14(1), pages 135-166, June.
    6. Giovanni Ramello, 2011. "Property rights and externalities: the uneasy case of knowledge," European Journal of Law and Economics, Springer, vol. 31(1), pages 123-141, February.
    7. Kristiaan Kerstens & Ignace van de Woestyne, 2021. "Cost functions are nonconvex in the outputs when the technology is nonconvex: convexification is not harmless," Post-Print hal-03274911, HAL.
    8. Gerard van der Laan & Dolf Talman & Zaifu Yang, 2007. "Combinatorial Integer Labeling Theorems on Finite Sets with an Application to Discrete Systems of Nonlinear Equations," Tinbergen Institute Discussion Papers 07-084/1, Tinbergen Institute.
    9. Kerstens, Kristiaan & Bouye, Ahmed Moulaye Hachem & Van de Woestyne, Ignace & Vestergaard, Niels, 2008. "Optimal capacity utilization and reallocation in a German bank branch network: Exploring some strategic scenarios," Working Papers 2008/59, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
    10. Araoz, Veronica & Jörnsten, Kurt, 2011. "Semi-Lagrangean approach for price discovery in markets with non-convexities," European Journal of Operational Research, Elsevier, vol. 214(2), pages 411-417, October.
    11. Drèze, J. H., 1995. "Forty years of public economics: a personal perspective," LIDAM Reprints CORE 1154, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. Soo, Kwok Tong, 2014. "Indivisibilities in the Ricardian model of trade," MPRA Paper 57066, University Library of Munich, Germany.
    13. Kuang, Xiaolong & Lamadrid, Alberto J. & Zuluaga, Luis F., 2019. "Pricing in non-convex markets with quadratic deliverability costs," Energy Economics, Elsevier, vol. 80(C), pages 123-131.
    14. David Fuller, J. & Çelebi, Emre, 2017. "Alternative models for markets with nonconvexities," European Journal of Operational Research, Elsevier, vol. 261(2), pages 436-449.
    15. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2002. "Existence and welfare properties of equilibrium in an exchange economy with multiple divisible and indivisible commodities and linear production," Other publications TiSEM 5a5610bf-4f85-4a25-963c-c, Tilburg University, School of Economics and Management.
    16. Navid Azizan & Yu Su & Krishnamurthy Dvijotham & Adam Wierman, 2020. "Optimal Pricing in Markets with Nonconvex Costs," Operations Research, INFORMS, vol. 68(2), pages 480-496, March.
    17. Sahoo, Biresh K. & Tone, Kaoru, 2013. "Non-parametric measurement of economies of scale and scope in non-competitive environment with price uncertainty," Omega, Elsevier, vol. 41(1), pages 97-111.
    18. Caplin, Andrew & Leahy, John, 2014. "A graph theoretic approach to markets for indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 112-122.
    19. Herings, P. Jean-Jacques & Predtetchinski, Arkadi, 2015. "Bargaining with non-convexities," Games and Economic Behavior, Elsevier, vol. 90(C), pages 151-161.
    20. SMEERS, Yves, 2005. "Long term locational prices and investment incentives in the transmission of electricity," LIDAM Discussion Papers CORE 2005030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    21. van der Laan, Gerard & Talman, Dolf & Yang, Zaifu, 1997. "Existence of an equilibrium in a competitive economy with indivisibilities and money," Journal of Mathematical Economics, Elsevier, vol. 28(1), pages 101-109, August.
    22. Hacopian Dolatabadi, Sarineh & Latify, Mohammad Amin & Karshenas, Hamidreza & Sharifi, Alimorad, 2022. "On pricing issues in electricity markets in the presence of externalities," Energy, Elsevier, vol. 246(C).
    23. Bobo, Lucien & Mitridati, Lesia & Taylor, Josh A. & Pinson, Pierre & Kazempour, Jalal, 2021. "Price-region bids in electricity markets," European Journal of Operational Research, Elsevier, vol. 295(3), pages 1056-1073.
    24. Victor Ahlqvist & Pär Holmberg & Thomas Tangerås, 2019. "Central- versus Self-Dispatch in Electricity Markets," Working Papers EPRG 1902, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.
    25. Vazquez, Carlos & Hallack, Michelle & Vazquez, Miguel, 2017. "Price computation in electricity auctions with complex rules: An analysis of investment signals," Energy Policy, Elsevier, vol. 105(C), pages 550-561.
    26. Liao, Chao-ning & Önal, Hayri & Chen, Ming-Hsiang, 2009. "Average shadow price and equilibrium price: A case study of tradable pollution permit markets," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1207-1213, August.
    27. Mariola Ndrio & Anna Winnicki & Subhonmesh Bose, 2019. "Pricing Economic Dispatch with AC Power Flow via Local Multipliers and Conic Relaxation," Papers 1910.10673, arXiv.org, revised Oct 2021.
    28. G. Laan & A. J. J. Talman & Z. Yang, 2010. "Combinatorial Integer Labeling Theorems on Finite Sets with Applications," Journal of Optimization Theory and Applications, Springer, vol. 144(2), pages 391-407, February.
    29. Francesco Luna, 2004. "Research and Development in Computable Production Functions," Metroeconomica, Wiley Blackwell, vol. 55(2‐3), pages 180-194, May.
    30. Emili Grifell-Tatjé & Kristiaan Kerstens, 2007. "Incentive Regulation and the Role of Convexity in Benchmarking Electricity Distribution: Economists versus Engineers," Working Papers 2007-ECO-01, IESEG School of Management.
    31. George Liberopoulos & Panagiotis Andrianesis, 2016. "Critical Review of Pricing Schemes in Markets with Non-Convex Costs," Operations Research, INFORMS, vol. 64(1), pages 17-31, February.
    32. Yang, Zaifu, 2000. "Equilibrium in an exchange economy with multiple indivisible commodities and money," Journal of Mathematical Economics, Elsevier, vol. 33(3), pages 353-365, April.
    33. Bennett Levitan & Jose Lobo & Stuart Kauffman & Richard Schuler, 1999. "Optimal Organization Size in a Stochastic Environment with Externalities," Working Papers 99-04-024, Santa Fe Institute.
    34. Meeus, Leonardo & Verhaegen, Karolien & Belmans, Ronnie, 2009. "Block order restrictions in combinatorial electric energy auctions," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1202-1206, August.
    35. Koshevoy, G.A. & Talman, A.J.J., 2006. "Competitive Equilibria in Economies with Multiple Divisible and Indivisible Commodities and No Money," Other publications TiSEM 130306fe-6e3c-499c-b776-c, Tilburg University, School of Economics and Management.
    36. Bruno Coquet & Jacques Le Cacheux, 1996. "Les privatisations dans la perspective de l'intégration européenne," Revue Économique, Programme National Persée, vol. 47(6), pages 1333-1350.
    37. Chisari, Omar O. & Romero, Carlos A., 2008. "Investment decisions in electricity transmission in Argentina: The role of earmarked funds and gas pipeline expansions," Energy Economics, Elsevier, vol. 30(4), pages 1321-1333, July.
    38. VAN VYVE, Mathieu, 2011. "Linear prices for non-convex electricity markets: models and algorithms," LIDAM Discussion Papers CORE 2011050, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    39. Satoru Fujishige & Zaifu Yang, 2012. "On Revealed Preference and Indivisibilities," Discussion Papers 12/02, Department of Economics, University of York.
    40. Eldridge, B. & O’Neill, R. & Hobbs, B., 2018. "Pricing in Day-Ahead Electricity Markets with Near-Optimal Unit Commitment," Cambridge Working Papers in Economics 1872, Faculty of Economics, University of Cambridge.
    41. Mays, Jacob & Morton, David P. & O’Neill, Richard P., 2021. "Investment effects of pricing schemes for non-convex markets," European Journal of Operational Research, Elsevier, vol. 289(2), pages 712-726.
    42. Pereira, Amaro Olimpio & Cunha da Costa, Ricardo & Costa, Cláudia do Vale & Marreco, Juliana de Moraes & La Rovere, Emílio Lèbre, 2013. "Perspectives for the expansion of new renewable energy sources in Brazil," Renewable and Sustainable Energy Reviews, Elsevier, vol. 23(C), pages 49-59.
    43. Bennett Levitan & José Lobo & Richard Schuler & Stuart Kauffman, 2002. "Evolution of Organizational Performance and Stability in a Stochastic Environment," Computational and Mathematical Organization Theory, Springer, vol. 8(4), pages 281-313, December.
    44. Jensen Christian, 2014. "Replication and Returns to Scale in Production," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 14(1), pages 1-22, February.
    45. Vadim Borokhov, 2022. "Utilizing the redundant constraints for the uplift payment elimination," Operational Research, Springer, vol. 22(2), pages 1377-1402, April.
    46. Satoru Fujishige & Zaifu Yang, 2002. "Existence of an Equilibrium in a General Competitive Exchange Economy with Indivisible Goods and Money," Annals of Economics and Finance, Society for AEF, vol. 3(1), pages 135-147, May.
    47. Lukas Hümbs & Alexander Martin & Lars Schewe, 2022. "Exploiting complete linear descriptions for decentralized power market problems with integralities," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 95(3), pages 451-474, June.
    48. Kaufman, Bruce E., 2003. "The organization of economic activity: insights from the institutional theory of John R. Commons," Journal of Economic Behavior & Organization, Elsevier, vol. 52(1), pages 71-96, September.
    49. Ramteen Sioshansi and Ashlin Tignor, 2012. "Do Centrally Committed Electricity Markets Provide Useful Price Signals?," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4).
    50. Shavandi, Hassan & Pirnia, Mehrdad & Fuller, J. David, 2019. "Extended opportunity cost model to find near equilibrium electricity prices under non-convexities," Applied Energy, Elsevier, vol. 240(C), pages 251-264.
    51. Mukherjee, Saral & Chatterjee, A.K., 2006. "The average shadow price for MILPs with integral resource availability and its relationship to the marginal unit shadow price," European Journal of Operational Research, Elsevier, vol. 169(1), pages 53-64, February.
    52. Kristiaan Kerstens & Zhiyang Shen, 2021. "Using COVID-19 mortality to select among hospital plant capacity models: An exploratory empirical application to Hubei province," Post-Print hal-03130063, HAL.
    53. Sioshansi, Ramteen, 2014. "Pricing in centrally committed electricity markets," Utilities Policy, Elsevier, vol. 31(C), pages 143-145.
    54. Víctor Giménez & Claudio Thieme & Diego Prior & Emili Tortosa-Ausina, 2017. "An international comparison of educational systems: a temporal analysis in presence of bad outputs," Journal of Productivity Analysis, Springer, vol. 47(1), pages 83-101, February.
    55. Hassan Shavandi & Mehrdad Pirnia & J. David Fuller, 2018. "Extended opportunity cost model to find near equilibrium electricity prices under non-convexities," Papers 1809.09734, arXiv.org.
    56. O'Neill, Richard P. & Sotkiewicz, Paul M. & Hobbs, Benjamin F. & Rothkopf, Michael H. & Stewart, William R., 2005. "Efficient market-clearing prices in markets with nonconvexities," European Journal of Operational Research, Elsevier, vol. 164(1), pages 269-285, July.
    57. Lamberton, Donald M., 1998. "Information economics research: Points of departure," Information Economics and Policy, Elsevier, vol. 10(3), pages 325-330, September.
    58. David Cantala & Damián Gibaja, 2018. "On uniqueness of equilibrium prices in a Bayesian assignment game," Serie documentos de trabajo del Centro de Estudios Económicos 2018-06, El Colegio de México, Centro de Estudios Económicos.
    59. Bjørndal, Mette & Jörnsten, Kurt, 2008. "Equilibrium prices supported by dual price functions in markets with non-convexities," European Journal of Operational Research, Elsevier, vol. 190(3), pages 768-789, November.

  6. Imre Barany & Roger Howe & Herbert E. Scarf, 1992. "The Complex of Maximal Lattice Free Simplices," Cowles Foundation Discussion Papers 1032, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. I. Bárány & H. E. Scarf & D. Shallcross, 2008. "The topological structure of maximal lattice free convex bodies: The general case," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 11, pages 191-205, Palgrave Macmillan.
    2. Imre Bárány & Herbert Scarf, 2008. "Matrices with Identical Sets of Neighbors," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 10, pages 179-189, Palgrave Macmillan.

  7. Herbert E. Scarf, 1992. "Tjalling Charles Koopmans (August 28, 1910-February 26, 1985)," Cowles Foundation Discussion Papers 1029, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. Colignatus, Thomas, 2008. "On the political economy of environmental survival versus collapse. Clarifying the work done by Tinbergen & Hueting vis-à-vis Weitzman, Nordhaus and Stern," MPRA Paper 10001, University Library of Munich, Germany.

  8. Herbert E. Scarf & Shallcross, David F., 1990. "The Frobenius Problem and Maximal Lattice Free Bodies," Cowles Foundation Discussion Papers 945, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. Herbert E. Scarf & Kevin M. Woods, 2004. "Neighborhood Complexes and Generating Functions for Affine Semigroups," Cowles Foundation Discussion Papers 1458, Cowles Foundation for Research in Economics, Yale University.

  9. Herbert E. Scarf & Laszlo Lovasz, 1990. "The Generalized Basis Reduction Algorithm," Cowles Foundation Discussion Papers 946, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. William Cook & Thomas Rutherford & Herbert E. Scarf & David F. Shallcross, 1991. "An Implementation of the Generalized Basis Reduction Algorithm for Integer Programming," Cowles Foundation Discussion Papers 990, Cowles Foundation for Research in Economics, Yale University.
    2. Sanjay Mehrotra & Zhifeng Li, 2011. "Branching on hyperplane methods for mixed integer linear and convex programming using adjoint lattices," Journal of Global Optimization, Springer, vol. 49(4), pages 623-649, April.

  10. Herbert E. Scarf, 1989. "Mathematical Programming and Economic Theory," Cowles Foundation Discussion Papers 930, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. Byers, Conleigh & Hug, Gabriela, 2023. "Long-run optimal pricing in electricity markets with non-convex costs," European Journal of Operational Research, Elsevier, vol. 307(1), pages 351-363.
    2. Drexl, Andreas & Jørnsten, Kurt & Knof, Diether, 2007. "Non-linear anonymous pricing combinatorial auctions," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 625, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    3. Huppmann, Daniel & Siddiqui, Sauleh, 2018. "An exact solution method for binary equilibrium problems with compensation and the power market uplift problem," European Journal of Operational Research, Elsevier, vol. 266(2), pages 622-638.
    4. Araoz, Veronica & Jörnsten, Kurt, 2011. "Semi-Lagrangean approach for price discovery in markets with non-convexities," European Journal of Operational Research, Elsevier, vol. 214(2), pages 411-417, October.
    5. Nicolas Garrido, 2003. "The desirable organizational structure for evolutionary firms in static landscapes," Department of Economics Working Papers 0305, Department of Economics, University of Trento, Italia.
    6. James R. Markusen & Thomas F. Rutherford, 1993. "Discrete Plant-Location Decisions in an Applied General-Equilibrium Model of Trade Liberalization," NBER Working Papers 4513, National Bureau of Economic Research, Inc.
    7. Håkan J. Holm, 2004. "Rights and Decentralized Computation," Metroeconomica, Wiley Blackwell, vol. 55(2‐3), pages 290-317, May.
    8. Soo, Kwok Tong, 2014. "Indivisibilities in the Ricardian model of trade," MPRA Paper 57066, University Library of Munich, Germany.
    9. A Drexl & K Jørnsten, 2007. "Reflections about pseudo-dual prices in combinatorial auctions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(12), pages 1652-1659, December.
    10. Herbert E. Scarf, 1994. "The Allocation of Resources in the Presence of Indivisibilities," Cowles Foundation Discussion Papers 1068, Cowles Foundation for Research in Economics, Yale University.
    11. Cheng Lu & Zhibin Deng & Shu-Cherng Fang & Qingwei Jin & Wenxun Xing, 2022. "Fast computation of global solutions to the single-period unit commitment problem," Journal of Combinatorial Optimization, Springer, vol. 44(3), pages 1511-1536, October.
    12. Kuang, Xiaolong & Lamadrid, Alberto J. & Zuluaga, Luis F., 2019. "Pricing in non-convex markets with quadratic deliverability costs," Energy Economics, Elsevier, vol. 80(C), pages 123-131.
    13. Navid Azizan & Yu Su & Krishnamurthy Dvijotham & Adam Wierman, 2020. "Optimal Pricing in Markets with Nonconvex Costs," Operations Research, INFORMS, vol. 68(2), pages 480-496, March.
    14. Sahoo, Biresh K. & Zhu, Joe & Tone, Kaoru & Klemen, Bernhard M., 2014. "Decomposing technical efficiency and scale elasticity in two-stage network DEA," European Journal of Operational Research, Elsevier, vol. 233(3), pages 584-594.
    15. Sahoo, Biresh K. & Tone, Kaoru, 2013. "Non-parametric measurement of economies of scale and scope in non-competitive environment with price uncertainty," Omega, Elsevier, vol. 41(1), pages 97-111.
    16. Leimbach, Marian & Edenhofer, Ottmar, 2007. "Technological spillovers within multi-region models: Intertemporal optimization beyond the Negishi approach," Economic Modelling, Elsevier, vol. 24(2), pages 272-294, March.
    17. Victor Ahlqvist & Pär Holmberg & Thomas Tangerås, 2019. "Central- versus Self-Dispatch in Electricity Markets," Working Papers EPRG 1902, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.
    18. Liao, Chao-ning & Önal, Hayri & Chen, Ming-Hsiang, 2009. "Average shadow price and equilibrium price: A case study of tradable pollution permit markets," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1207-1213, August.
    19. Cheng Lu & Zhibin Deng & Shu-Cherng Fang & Qingwei Jin & Wenxun Xing, 0. "Fast computation of global solutions to the single-period unit commitment problem," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-26.
    20. George Liberopoulos & Panagiotis Andrianesis, 2016. "Critical Review of Pricing Schemes in Markets with Non-Convex Costs," Operations Research, INFORMS, vol. 64(1), pages 17-31, February.
    21. Chen, Shu-Heng, 2012. "Varieties of agents in agent-based computational economics: A historical and an interdisciplinary perspective," Journal of Economic Dynamics and Control, Elsevier, vol. 36(1), pages 1-25.
    22. Ramteen Sioshansi and Ashlin Tignor, 2012. "Do Centrally Committed Electricity Markets Provide Useful Price Signals?," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4).
    23. Jean-François Laslier & Gilbert Laffond, 1992. "L'auto-organisation et le marché," Cahiers d'Économie Politique, Programme National Persée, vol. 20(1), pages 259-273.
    24. O'Neill, Richard P. & Sotkiewicz, Paul M. & Hobbs, Benjamin F. & Rothkopf, Michael H. & Stewart, William R., 2005. "Efficient market-clearing prices in markets with nonconvexities," European Journal of Operational Research, Elsevier, vol. 164(1), pages 269-285, July.
    25. Xin Shi & Alberto J. Lamadrid L. & Luis F. Zuluaga, 2021. "Revenue Adequate Prices for Chance-Constrained Electricity Markets with Variable Renewable Energy Sources," Papers 2105.01233, arXiv.org.
    26. Bjørndal, Mette & Jörnsten, Kurt, 2008. "Equilibrium prices supported by dual price functions in markets with non-convexities," European Journal of Operational Research, Elsevier, vol. 190(3), pages 768-789, November.

  11. Herbert E. Scarf & R. Kannan & Laszlo Lovasz, 1988. "The Shapes of Polyhedra," Cowles Foundation Discussion Papers 883, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. I. Bárány & H. E. Scarf & D. Shallcross, 2008. "The topological structure of maximal lattice free convex bodies: The general case," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 11, pages 191-205, Palgrave Macmillan.
    2. Herbert E. Scarf & Shallcross, David F., 1991. "Shortest Integer Vectors," Cowles Foundation Discussion Papers 965, Cowles Foundation for Research in Economics, Yale University.
    3. William Cook & Thomas Rutherford & Herbert E. Scarf & David F. Shallcross, 1991. "An Implementation of the Generalized Basis Reduction Algorithm for Integer Programming," Cowles Foundation Discussion Papers 990, Cowles Foundation for Research in Economics, Yale University.
    4. Robert Weismantel, 1998. "Test sets of integer programs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 47(1), pages 1-37, February.

  12. Herbert E. Scarf, 1984. "Neighborhood Systems for Production Sets with Indivisibilities," Cowles Foundation Discussion Papers 728, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. Tone, Kaoru & Sahoo, Biresh K., 2003. "Scale, indivisibilities and production function in data envelopment analysis," International Journal of Production Economics, Elsevier, vol. 84(2), pages 165-192, May.
    2. Koshevoy, G.A. & Talman, A.J.J., 2002. "Competitive Equilibria in Economies with Multiple Divisible and Multiple Divisible Commodities," Other publications TiSEM b80a97ac-bf8d-429f-98ce-7, Tilburg University, School of Economics and Management.
    3. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 1999. "Existence and Welfare Properties of Equilibrium in an Exchange Economy with Multiple Divisible, Indivisible Commodities and Linear Production Technologies," Other publications TiSEM e7e05539-3fab-4998-818d-0, Tilburg University, School of Economics and Management.
    4. van der Laan, Gerard & Talman, Dolf & Yang, Zaifu, 2002. "Existence and Welfare Properties of Equilibrium in an Exchange Economy with Multiple Divisible and Indivisible Commodities and Linear Production Technologies," Journal of Economic Theory, Elsevier, vol. 103(2), pages 411-428, April.
    5. Walter Briec & Kristiaan Kerstens, 2006. "Input, output and graph technical efficiency measures on non-convex FDH models with various scaling laws: An integrated approach based upon implicit enumeration algorithms," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 14(1), pages 135-166, June.
    6. Ning Sun & Zaifu Yang, 2008. "A Double-Track Auction for Substitutes and Complements," KIER Working Papers 656, Kyoto University, Institute of Economic Research.
    7. Pascal Gauthier & Timothy J. Kehoe & Erwan Quintin, 2021. "Constructing Pure-Exchange Economies with Many Equilibria," Staff Report 631, Federal Reserve Bank of Minneapolis.
    8. Imre Bárány & Herbert Scarf, 2008. "Matrices with Identical Sets of Neighbors," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 10, pages 179-189, Palgrave Macmillan.
    9. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2002. "Existence and welfare properties of equilibrium in an exchange economy with multiple divisible and indivisible commodities and linear production," Other publications TiSEM 5a5610bf-4f85-4a25-963c-c, Tilburg University, School of Economics and Management.
    10. Sahoo, Biresh K. & Tone, Kaoru, 2013. "Non-parametric measurement of economies of scale and scope in non-competitive environment with price uncertainty," Omega, Elsevier, vol. 41(1), pages 97-111.
    11. Halkos, George & Sundström, Aksel & Tzeremes, Nickolaos, 2013. "Environmental performance and quality of governance: A non-parametric analysis of the NUTS 1-regions in France, Germany and the UK," MPRA Paper 48890, University Library of Munich, Germany.
    12. Francesco Luna, 2004. "Research and Development in Computable Production Functions," Metroeconomica, Wiley Blackwell, vol. 55(2‐3), pages 180-194, May.
    13. Koshevoy, G.A. & Talman, A.J.J., 2006. "Competitive Equilibria in Economies with Multiple Divisible and Indivisible Commodities and No Money," Other publications TiSEM 130306fe-6e3c-499c-b776-c, Tilburg University, School of Economics and Management.
    14. Truchon, M., 1988. "Programmation Mathematique Et Theorie Economique," Cahiers de recherche 8811, Université Laval - Département d'économique.
    15. Satoru Fujishige & Zaifu Yang, 2012. "On Revealed Preference and Indivisibilities," Discussion Papers 12/02, Department of Economics, University of York.
    16. Shubik, Martin, 1990. "A game theoretic approach to the theory of money and financial institutions," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 1, chapter 5, pages 171-219, Elsevier.
    17. Satoru Fujishige & Zaifu Yang, 2002. "Existence of an Equilibrium in a General Competitive Exchange Economy with Indivisible Goods and Money," Annals of Economics and Finance, Society for AEF, vol. 3(1), pages 135-147, May.
    18. Robert Weismantel, 1998. "Test sets of integer programs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 47(1), pages 1-37, February.

  13. Herbert E. Scarf, 1977. "An Observation on the Structure of Production Sets with Indivisibilities," Cowles Foundation Discussion Papers 453, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. I. Bárány & H. E. Scarf & D. Shallcross, 2008. "The topological structure of maximal lattice free convex bodies: The general case," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 11, pages 191-205, Palgrave Macmillan.
    2. Herbert E. Scarf, 2008. "Integral Polyhedra in Three Space," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 4, pages 69-104, Palgrave Macmillan.
    3. Queyranne, M. & Tardella, F., 2015. "Carathéodory, Helly and Radon Numbers for Sublattice Convexities," LIDAM Discussion Papers CORE 2015010, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Wiesława Obuchowska, 2010. "Minimal infeasible constraint sets in convex integer programs," Journal of Global Optimization, Springer, vol. 46(3), pages 423-433, March.
    5. Walter Briec & Ignace van de Woestyne & Kristiaan Kerstens, 2022. "Nonconvexity in Production and Cost Functions: An Exploratory and Selective Review," Post-Print hal-03833475, HAL.
    6. Maurice Queyranne & Fabio Tardella, 2017. "Carathéodory, Helly, and Radon Numbers for Sublattice and Related Convexities," Mathematics of Operations Research, INFORMS, vol. 42(2), pages 495-516, May.
    7. Obuchowska, Wiesława T., 2012. "Feasibility in reverse convex mixed-integer programming," European Journal of Operational Research, Elsevier, vol. 218(1), pages 58-67.

  14. Herbert E. Scarf, 1977. "The Computation of Equilibrium Prices: An Exposition," Cowles Foundation Discussion Papers 473, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. K. Vela Velupillai, 2007. "Taming the Incomputable, Reconstructing the Nonconstructive and Deciding the Undecidable in Mathematical Economics," Department of Economics Working Papers 0722, Department of Economics, University of Trento, Italia.
    2. Xiaotie Deng & Qi Qi & Amin Saberi, 2012. "Algorithmic Solutions for Envy-Free Cake Cutting," Operations Research, INFORMS, vol. 60(6), pages 1461-1476, December.
    3. Franco Donzelli, 2006. "Walras and pareto on the meaning of the solution concept in general equilibrium theory," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 53(4), pages 491-530, December.
    4. K. Vela Velupillai, 2011. "The Fundamental Theorems of Welfare Economics, DSGE and the Theory of Policy - Computable & Constructive Foundations," ASSRU Discussion Papers 1125, ASSRU - Algorithmic Social Science Research Unit.
    5. K. Vela Velupillai & Stefano Zambelli, 2010. "Computation in Economics," ASSRU Discussion Papers 1001, ASSRU - Algorithmic Social Science Research Unit.
    6. Stephen Kinsella, 2012. "Blueprint For An Algorithmic Economics," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 101-111.
    7. K.Vela Velupillai, 2011. "Negishi's Theorem and Method," ASSRU Discussion Papers 1129, ASSRU - Algorithmic Social Science Research Unit.
    8. K. Vela Velupillai, 2011. "DSGE And Beyond – Computable And Constructive Challenges," ASSRU Discussion Papers 1122, ASSRU - Algorithmic Social Science Research Unit.
    9. Simina Br^anzei & Nikhil R. Devanur & Yuval Rabani, 2019. "Proportional Dynamics in Exchange Economies," Papers 1907.05037, arXiv.org, revised Sep 2023.

  15. B. Curtis Eaves & Herbert E. Scarf, 1975. "The Solution of Systems of Piecewise Linear Equations," Cowles Foundation Discussion Papers 390, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. M. Kojima & R. Saigal, 1978. "A Study of PCl Homeomorphisms on Subdivided Polyhedrons," Discussion Papers 327, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. Govindan, Srihari & Wilson, Robert, 2004. "Computing Nash equilibria by iterated polymatrix approximation," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1229-1241, April.
    3. Ludo Van der Heyden, 1980. "A Path Following Procedure for Finding a Point in the Core of a Balanced N-Person Game," Cowles Foundation Discussion Papers 575, Cowles Foundation for Research in Economics, Yale University.
    4. Roger Howe, 1983. "Linear Complementarity and the Average Volume of Simplicial Cones," Cowles Foundation Discussion Papers 670, Cowles Foundation for Research in Economics, Yale University.

  16. Herbert E. Scarf, 1970. "On the Existence of a Cooperative Solution for a General Class of N-Person Games," Cowles Foundation Discussion Papers 293, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. Achille Basile & Vincenzo Scalzo, 2020. "Non-emptiness of the alpha-core: sufficient and necessary conditions," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 1143-1153, December.
    2. Martin Shubik, 1974. "On the Role of Numbers and Information in Competition," Cowles Foundation Discussion Papers 371, Cowles Foundation for Research in Economics, Yale University.
    3. Yang, Zhe, 2017. "Some infinite-player generalizations of Scarf’s theorem: Finite-coalition α-cores and weak α-cores," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 81-85.
    4. Sergiu Hart & Andreu Mas-Colell, 2008. "Cooperative games in strategic form," Economics Working Papers 1094, Department of Economics and Business, Universitat Pompeu Fabra.
    5. CHANDER, Parkash & TULKENS, Henry, 1994. "A Core-Theoretic Solution for the Design of Cooperative Agreements on Transfrontier Pollution," LIDAM Discussion Papers CORE 1994048, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Jean-Marc Bonnisseau & Vincent Iehlé, 2007. "Payoff-dependent balancedness and cores," PSE-Ecole d'économie de Paris (Postprint) hal-00176203, HAL.
    7. Maria-Augusta Miceli & Federico Cecconi & Giovanni Cerulli, 2013. "Walrasian Tatonnement by Sequential Pairwise Trading: Convergence and Welfare Implications," Working Papers in Public Economics 161, University of Rome La Sapienza, Department of Economics and Law.
    8. Christian Di Pietro & Maria Gabriella Graziano & Vincenzo Platino, 2019. "Social Loss with Respect to the Core of an Economy with Externalities," CSEF Working Papers 538, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 29 Aug 2019.
    9. Zhe Yang & Haiqun Zhang, 2019. "NTU core, TU core and strong equilibria of coalitional population games with infinitely many pure strategies," Theory and Decision, Springer, vol. 87(2), pages 155-170, September.
    10. Beth Allen, 2006. "Market games with asymmetric information: the core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 465-487, October.
    11. Zhao, Jingang, 1999. "A [beta]-Core Existence Result and Its Application to Oligopoly Markets," Games and Economic Behavior, Elsevier, vol. 27(1), pages 153-168, April.
    12. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, March.
    13. Chander Parkash, 2019. "The core of a strategic game," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 19(1), pages 1-10, January.
    14. Vincenzo Scalzo, 2022. "Existence of alpha-core allocations in economies with non-ordered and discontinuous preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 1-12, May.
    15. Bertrand Crettez & Rabia Nessah & Tarik Tazdaït, 2022. "On The Strong Hybrid Solution Of An N-Person Game," Post-Print hal-03875293, HAL.
    16. Askoura, Y., 2017. "On the core of normal form games with a continuum of players," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 32-42.
    17. Sergiu Hart & Andreu Mas-Colell, 2008. "Bargaining and Cooperation in Strategic Form Form Games," Levine's Working Paper Archive 122247000000002205, David K. Levine.
    18. Noguchi, Mitsunori, 2014. "Cooperative equilibria of finite games with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 4-10.
    19. CHANDER, Parkash, 2003. "The [gamma]-core and coalition formation," LIDAM Discussion Papers CORE 2003046, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    20. Yang, Zhe & Song, Qingping, 2022. "A weak α-core existence theorem of generalized games with infinitely many players and pseudo-utilities," Mathematical Social Sciences, Elsevier, vol. 116(C), pages 40-46.
    21. V. Filipe Martins-da-Rocha & Nicholas C. Yannelis, 2011. "Nonemptiness of the alpha-core," Economics Discussion Paper Series 1105, Economics, The University of Manchester.
    22. Toshiyuki Hirai, 2018. "Single-payoff farsighted stable sets in strategic games with dominant punishment strategies," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1087-1111, November.
    23. Bergin, James & Duggan, John, 1997. "An Implementation-theoretic Approach to Non-cooperative Foundations," Queen's Institute for Economic Research Discussion Papers 273398, Queen's University - Department of Economics.
    24. Maria Gabriella Graziano & Claudia Meo & Nicholas C. Yannelis, 2016. "Stable Sets for Exchange Economies with Interdependent Preferences," CSEF Working Papers 461, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    25. Yang, Zhe, 2018. "Some generalizations of Kajii’s theorem to games with infinitely many players," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 131-135.
    26. Yang, Zhe & Zhang, Xian, 2021. "A weak α-core existence theorem of games with nonordered preferences and a continuum of agents," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    27. Zhao, Jingang, 2018. "Three little-known and yet still significant contributions of Lloyd Shapley," Games and Economic Behavior, Elsevier, vol. 108(C), pages 592-599.
    28. Jean-Marc Bonnisseau & Vincent Iehlé, 2007. "Payoff-dependent balancedness and cores (revised version)," UFAE and IAE Working Papers 678.07, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    29. Pendharkar, Parag C., 2021. "Allocating fixed costs using multi-coalition epsilon equilibrium," International Journal of Production Economics, Elsevier, vol. 239(C).
    30. Sarina Steinmann & Ralph Winkler, 2019. "Sharing a River with Downstream Externalities," Games, MDPI, vol. 10(2), pages 1-15, May.
    31. Uyanık, Metin, 2015. "On the nonemptiness of the α-core of discontinuous games: Transferable and nontransferable utilities," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 213-231.
    32. Yang, Zhe & Yuan, George Xianzhi, 2019. "Some generalizations of Zhao’s theorem: Hybrid solutions and weak hybrid solutions for games with nonordered preferences," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 94-100.
    33. Yang, Zhe, 2020. "The weak α-core of exchange economies with a continuum of players and pseudo-utilities," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 43-50.
    34. Kotowski, Maciej, 2019. "A Perfectly Robust Approach to Multiperiod Matching Problems," Working Paper Series rwp19-016, Harvard University, John F. Kennedy School of Government.
    35. Takaaki Abe, 2022. "Buck-passing dumping in a garbage-dumping game," Theory and Decision, Springer, vol. 93(3), pages 509-533, October.
    36. Takaaki Abe, 2019. "Buck-passing Dumping in a Pure Exchange Game of Bads," Working Papers 1918, Waseda University, Faculty of Political Science and Economics.
    37. Youcef Askoura & Mohammed Sbihi & Hamid Tikobaini, 2013. "The ex ante α-core for normal form games with uncertainty," Post-Print hal-00924267, HAL.
    38. Lan Di & George X. Yuan & Tu Zeng, 2021. "The consensus equilibria of mining gap games related to the stability of Blockchain Ecosystems," The European Journal of Finance, Taylor & Francis Journals, vol. 27(4-5), pages 419-440, March.
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    42. Chen-Zhong Qin & Lloyd S. Shapley & Martin Shubik, 2009. "Marshallian Money, Welfare, and Side-Payments," Cowles Foundation Discussion Papers 1729, Cowles Foundation for Research in Economics, Yale University.

  17. Herbert E. Scarf, 1969. "An Example of an Algorithm for Calculating General Equilibrium," Cowles Foundation Discussion Papers 276, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. Cheung, Yun Kuen & Cole, Richard & Devanur, Nikhil R., 2020. "Tatonnement beyond gross substitutes? Gradient descent to the rescue," Games and Economic Behavior, Elsevier, vol. 123(C), pages 295-326.
    2. Bhattarai, Keshab & Nguyen, Dung T.K. & Nguyen, Chan V, 2018. "Impacts of Direct and Indirect Tax Reforms in Vietnam: A CGE Analysis," MPRA Paper 92068, University Library of Munich, Germany, revised 08 Feb 2019.
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    6. Amy Peng, 2009. "Introducing CGE Models to the Classroom Using EXCEL," Working Papers 013, Ryerson University, Department of Economics.
    7. Ricker, Martin, 1997. "Limits to economic growth as shown by a computable general equilibrium model," Ecological Economics, Elsevier, vol. 21(2), pages 141-158, May.
    8. Ahmed, Vaqar & O' Donoghue, Cathal, 2007. "CGE-Microsimulation Modelling: A Survey," MPRA Paper 9307, University Library of Munich, Germany.

  18. Terje Hensen & Herbert E. Scarf, 1969. "On The Applications of a Recent Combinatorial Algorithm," Cowles Foundation Discussion Papers 272, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. Terje Hansen, 1969. "A Fixed Point Algorithm for Approximating the Optimal Solution of a Concave Programming Problem," Cowles Foundation Discussion Papers 277, Cowles Foundation for Research in Economics, Yale University.
    2. Herbert E. Scarf, 1969. "An Example of an Algorithm for Calculating General Equilibrium," Cowles Foundation Discussion Papers 276, Cowles Foundation for Research in Economics, Yale University.

  19. Herbert E. Scarf, 1967. "The Approximation of Fixed Points of a Continuous Mapping," Cowles Foundation Discussion Papers 216R, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. Talman, A.J.J. & Yang, Z.F., 2012. "On a parameterized system of nonlinear equations with economic applications," Other publications TiSEM 8233343d-0b60-428d-a20b-6, Tilburg University, School of Economics and Management.
    2. Talman, A.J.J. & Yamamoto, M., 2001. "Contiuum of Zero Points of a Mapping on a Compact Convex Set," Other publications TiSEM 57411440-5b14-448e-8c27-3, Tilburg University, School of Economics and Management.
    3. Y. Qiang, 1999. "CGE Modelling and Australian Economics," Economics Discussion / Working Papers 99-04, The University of Western Australia, Department of Economics.
    4. Ruys, P.H.M. & van der Laan, G., 1987. "Computation of an industrial equilibrium," Other publications TiSEM 55625e6d-1c1e-4dd2-b3b6-9, Tilburg University, School of Economics and Management.
    5. Ulrich K. Müller & Andriy Norets, 2016. "Coverage Inducing Priors in Nonstandard Inference Problems," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 111(515), pages 1233-1241, July.
    6. Thanh Le & Cuong Le Van & Ngoc-Sang Pham & Cagri Saglam, 2021. "Direct Proofs of the Existence of Equilibrium, the Gale-Nikaido-Debreu Lemma and the Fixed Point Theorems using Sperner's Lemma," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02993655, HAL.
    7. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2005. "Solving Discrete Zero Point Problems with Vector Labeling," Other publications TiSEM 9bd940ee-3fe6-4201-aede-7, Tilburg University, School of Economics and Management.
    8. Aad Ruiter, 2020. "Approximating Walrasian Equilibria," Computational Economics, Springer;Society for Computational Economics, vol. 55(2), pages 577-596, February.
    9. Gerard van der Laan & Dolf Talman & Zaifu Yang, 2007. "Combinatorial Integer Labeling Theorems on Finite Sets with an Application to Discrete Systems of Nonlinear Equations," Tinbergen Institute Discussion Papers 07-084/1, Tinbergen Institute.
    10. Pascal Gauthier & Timothy J. Kehoe & Erwan Quintin, 2021. "Constructing Pure-Exchange Economies with Many Equilibria," Staff Report 631, Federal Reserve Bank of Minneapolis.
    11. Feinstein Zachary & El-Masri Fatena, 2017. "The effects of leverage requirements and fire sales on financial contagion via asset liquidation strategies in financial networks," Statistics & Risk Modeling, De Gruyter, vol. 34(3-4), pages 113-139, September.
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    17. Vittorio Bilò & Ioannis Caragiannis & Michele Flammini & Ayumi Igarashi & Gianpiero Monaco & Dominik Peters & Cosimo Vinci & William Zwicker, 2021. "Almost Envy-Free Allocations with Connected Bundles," Post-Print hal-03834506, HAL.
    18. Vipin P. Veetil & Richard E. Wagner, 2015. "Treating Macro Theory as Systems Theory: How Might it Matter?," Advances in Austrian Economics, in: New Thinking in Austrian Political Economy, volume 19, pages 119-143, Emerald Group Publishing Limited.
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    36. Gerard van der Laan & Dolf Talman & Zaifu Yang, 2004. "Solving Discrete Zero Point Problems," Tinbergen Institute Discussion Papers 04-112/1, Tinbergen Institute.
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    58. Bilò, Vittorio & Caragiannis, Ioannis & Flammini, Michele & Igarashi, Ayumi & Monaco, Gianpiero & Peters, Dominik & Vinci, Cosimo & Zwicker, William S., 2022. "Almost envy-free allocations with connected bundles," Games and Economic Behavior, Elsevier, vol. 131(C), pages 197-221.
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  20. Herbert E. Scarf, 1967. "On the Computation of Equilibrium Prices," Cowles Foundation Discussion Papers 232, Cowles Foundation for Research in Economics, Yale University.

    Cited by:

    1. Eromenko, Igor, 2010. "Accession to the WTO. Computable General Equilibrium Analysis: the Case of Ukraine. Part II," MPRA Paper 67452, University Library of Munich, Germany.
    2. Dorothee Boccanfuso & Antonio Estache & Luc Savard, 2011. "The Intra-country Distributional Impact of Policies to Fight Climate Change: A Survey," Journal of Development Studies, Taylor & Francis Journals, vol. 47(1), pages 97-117.
    3. Gérard Ballot & Antoine Mandel & Annick Vignes, 2015. "Agent-based modeling and economic theory: where do we stand?," PSE-Ecole d'économie de Paris (Postprint) halshs-01296643, HAL.
    4. Ana-Isabel Guerra & Ferran Sancho, 2010. "Rethinking Economy-Wide Rebound Measures: An Unbiased Proposal," UFAE and IAE Working Papers 814.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC), revised 05 Apr 2010.
    5. Larry J. Kimbell & Glenn W. Harrison, 1982. "General Equilibrium Analysis of Regional Fiscal Incidence," UCLA Economics Working Papers 236, UCLA Department of Economics.
    6. Gordan Žitković, 2012. "An example of a stochastic equilibrium with incomplete markets," Finance and Stochastics, Springer, vol. 16(2), pages 177-206, April.
    7. Yoonkyo Cho & Taehwan Kim & Jaewhak Roh, 2021. "An analysis of the effects of electronic commerce on the Korean economy using the CGE model," Electronic Commerce Research, Springer, vol. 21(3), pages 831-854, September.
    8. Shoven, John B. & Whalley, John, 1972. "A general equilibrium calculation of the effects of differential taxation of income from capital in the U.S," Journal of Public Economics, Elsevier, vol. 1(3-4), pages 281-321, November.
    9. Robert W. Dimand, 2019. "Léon Walras, Irving Fisher and the Cowles Approach to General Equilibrium Analysis," Cowles Foundation Discussion Papers 2205, Cowles Foundation for Research in Economics, Yale University.
    10. Walid Nasrallah & Raymond Levitt & Peter Glynn, 2003. "Interaction Value Analysis: When Structured Communication Benefits Organizations," Organization Science, INFORMS, vol. 14(5), pages 541-557, October.
    11. P. Capros & Denise Van Regemorter & Leonidas Paroussos & P. Karkatsoulis & C. Fragkiadakis & S. Tsani & I. Charalampidis & Tamas Revesz, 2013. "GEM-E3 Model Documentation," JRC Research Reports JRC83177, Joint Research Centre.
    12. K.Schmedders & F.Kubler, 2004. "Approximate Versus Exact Equilibria," Computing in Economics and Finance 2004 46, Society for Computational Economics.
    13. Richter, Marcel K. & Wong, Kam-Chau, 1999. "Computable preference and utility," Journal of Mathematical Economics, Elsevier, vol. 32(3), pages 339-354, November.
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    6. Takuya Masuzawa, 2008. "Computing the cores of strategic games with punishment–dominance relations," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(2), pages 185-201, June.
    7. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    8. Dimitrov, D.A. & Borm, P.E.M. & Hendrickx, R.L.P. & Sung, S.C., 2006. "Simple priorities and core stability in hedonic games," Other publications TiSEM 7c737a30-ac86-46ed-b210-e, Tilburg University, School of Economics and Management.
    9. Kirchsteiger, Georg & Heidhues, Paul & Riedel, Frank & Dufwenberg, Martin & Sobel, Joel, 2008. "Other-Regarding Preferences in General Equilibrium," CEPR Discussion Papers 6815, C.E.P.R. Discussion Papers.
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    44. Francoise Forges, 2006. "The Ex Ante Incentive Compatible Core in Exchange Economies with and without Indivisibilities," CESifo Working Paper Series 1686, CESifo.
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    Cited by:

    1. Ning Sun & Zaifu Yang, 2008. "A Double-Track Auction for Substitutes and Complements," KIER Working Papers 656, Kyoto University, Institute of Economic Research.
    2. Martin Angerer & Juergen Huber & Martin Shubik & Shyam Sunder, 2007. "An Economy with Personal Currency: Theory and Experimental Evidence," Cowles Foundation Discussion Papers 1622, Cowles Foundation for Research in Economics, Yale University, revised Mar 2010.
    3. Ghosal, Sayantan & Porter, James, 2010. "Out-Of-Equilibrium Dynamics With Decentralized Exchange: Cautious Trading And Convergence To Efficiency," Economic Research Papers 271179, University of Warwick - Department of Economics.
    4. Ennio Bilancini & Fabio Petri, 2008. "The Dynamics of General Equilibrium: A Comment on Professor Gintis," Department of Economics University of Siena 538, Department of Economics, University of Siena.
    5. Mukul Majumdar & Tapan Mitra, 1991. "Intertemporal decentralization," Finnish Economic Papers, Finnish Economic Association, vol. 4(2), pages 79-103, Autumn.
    6. Mukherji, Anjan, 2010. "Stability of the Market Economy in the Presence of Diverse Economic Agents," Working Papers 8, JICA Research Institute.
    7. William A. Barnett & Yijun He & ., 1999. "Stabilization Policy as Bifurcation Selection: Would Keynesian Policy Work if the World Really were Keynesian?," Macroeconomics 9906008, University Library of Munich, Germany.
    8. Eric Kemp-Benedict, 2011. "Second-Order, Dissipative T\^atonnement: Economic Interpretation and 2-Point Limit Cycles," Papers 1108.0188, arXiv.org, revised Aug 2011.
    9. Sebastian Rausch & Thomas Rutherford, 2010. "Computation of Equilibria in OLG Models with Many Heterogeneous Households," Computational Economics, Springer;Society for Computational Economics, vol. 36(2), pages 171-189, August.
    10. Steven Gjerstad, 2007. "Price Dynamics in an Exchange Economy," Purdue University Economics Working Papers 1205, Purdue University, Department of Economics.
    11. He, Yijun & Barnett, William A., 2006. "Singularity bifurcations," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 5-22, March.
    12. Alok Kumar & Martin Shubik, 2004. "Variations on the Theme of Scarf's Counter-Example," Computational Economics, Springer;Society for Computational Economics, vol. 24(1), pages 1-19, August.
    13. Furth, D., 2007. "Anything goes with heterogeneous, but not with homogeneous oligopoly," CeNDEF Working Papers 07-12, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    14. Alan Kirman, 2006. "Demand Theory and General Equilibrium: From Explanation to Introspection, a Journey down the Wrong Road," Economics Working Papers 0073, Institute for Advanced Study, School of Social Science.
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Articles

  1. Scarf, Herbert E., 2005. "Optimal inventory policies when sales are discretionary," International Journal of Production Economics, Elsevier, vol. 93(1), pages 111-119, January.
    See citations under working paper version above.
  2. William C. Brainard & Herbert E. Scarf, 2005. "How to Compute Equilibrium Prices in 1891," American Journal of Economics and Sociology, Wiley Blackwell, vol. 64(1), pages 57-83, January.
    See citations under working paper version above.
  3. A. Fostel & H. Scarf & M. Todd, 2004. "Two new proofs of Afriat’s theorem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 211-219, July.
    See citations under working paper version above.
  4. Andrew J. Clark & Herbert Scarf, 2004. "Optimal Policies for a Multi-Echelon Inventory Problem," Management Science, INFORMS, vol. 50(12_supple), pages 1782-1790, December.

    Cited by:

    1. Yue Dai & Shu-Cherng Fang & Xiaoli Ling & Henry Nuttle, 2008. "Risk pooling strategy in a multi-echelon supply chain with price-sensitive demand," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 67(3), pages 391-421, June.
    2. Feng, Yan & D'Amours, Sophie & Beauregard, Robert, 2008. "The value of sales and operations planning in oriented strand board industry with make-to-order manufacturing system: Cross functional integration under deterministic demand and spot market recourse," International Journal of Production Economics, Elsevier, vol. 115(1), pages 189-209, September.
    3. Steffen T. Klosterhalfen & Stefan Minner & Sean P. Willems, 2014. "Strategic Safety Stock Placement in Supply Networks with Static Dual Supply," Manufacturing & Service Operations Management, INFORMS, vol. 16(2), pages 204-219, May.
    4. de Kok, Ton & Grob, Christopher & Laumanns, Marco & Minner, Stefan & Rambau, Jörg & Schade, Konrad, 2018. "A typology and literature review on stochastic multi-echelon inventory models," European Journal of Operational Research, Elsevier, vol. 269(3), pages 955-983.
    5. Noordhoek, Marije & Dullaert, Wout & Lai, David S.W. & de Leeuw, Sander, 2018. "A simulation–optimization approach for a service-constrained multi-echelon distribution network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 292-311.
    6. Li, Xiaoming, 2010. "Optimal inventory policies in decentralized supply chains," International Journal of Production Economics, Elsevier, vol. 128(1), pages 303-309, November.
    7. Tan Wang & L. Jeff Hong, 2023. "Large-Scale Inventory Optimization: A Recurrent Neural Networks–Inspired Simulation Approach," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 196-215, January.
    8. Aouam, Tarik & Kumar, Kunal, 2019. "On the effect of overtime and subcontracting on supply chain safety stocks," Omega, Elsevier, vol. 89(C), pages 1-20.
    9. Shi Chen & Hau Lee & Kamran Moinzadeh, 2016. "Supply Chain Coordination with Multiple Shipments: The Optimal Inventory Subsidizing Contracts," Operations Research, INFORMS, vol. 64(6), pages 1320-1337, December.
    10. Peter L. Jackson & John A. Muckstadt & Yuexing Li, 2019. "Multiperiod Stock Allocation via Robust Optimization," Management Science, INFORMS, vol. 65(2), pages 794-818, February.
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    271. Saha, Kushal & Bhattacharya, Subir, 2021. "‘Buy online and pick up in-store’: Implications for the store inventory," European Journal of Operational Research, Elsevier, vol. 294(3), pages 906-921.
    272. Yang, P.C. & Chung, S.L. & Wee, H.M. & Zahara, E. & Peng, C.Y., 2013. "Collaboration for a closed-loop deteriorating inventory supply chain with multi-retailer and price-sensitive demand," International Journal of Production Economics, Elsevier, vol. 143(2), pages 557-566.
    273. Alexandar Angelus & Özalp Özer, 2016. "Knowledge You Can Act on: Optimal Policies for Assembly Systems with Expediting and Advance Demand Information," Operations Research, INFORMS, vol. 64(6), pages 1338-1371, December.
    274. Mekhtiev, Mirza Arif, 2013. "Analytical evaluation of lead-time demand in polytree supply chains with uncertain demand, lead-time and inter-demand time," International Journal of Production Economics, Elsevier, vol. 145(1), pages 304-317.
    275. Muckstadt, John A. & Klein, Michael G. & Jackson, Peter L. & Gougelet, Robert M. & Hupert, Nathaniel, 2023. "Efficient and effective large-scale vaccine distribution," International Journal of Production Economics, Elsevier, vol. 262(C).
    276. Lucy Gongtao Chen & Srinagesh Gavirneni, 2010. "Using Scheduled Ordering to Improve the Performance of Distribution Supply Chains," Management Science, INFORMS, vol. 56(9), pages 1615-1632, September.
    277. Ramesh Bollapragada & Uday S. Rao & Jun Zhang, 2004. "Managing Inventory and Supply Performance in Assembly Systems with Random Supply Capacity and Demand," Management Science, INFORMS, vol. 50(12), pages 1729-1743, December.
    278. Gupta, Diwakar & Weerawat, Waressara, 2006. "Supplier-manufacturer coordination in capacitated two-stage supply chains," European Journal of Operational Research, Elsevier, vol. 175(1), pages 67-89, November.
    279. Rodney P. Parker & Roman Kapuściński, 2011. "Managing a Noncooperative Supply Chain with Limited Capacity," Operations Research, INFORMS, vol. 59(4), pages 866-881, August.
    280. Arthur Veinott, 2013. "Taut-string solution of the equilibrium no-lag Clark-Scarf serial inventory problem," Annals of Operations Research, Springer, vol. 208(1), pages 27-30, September.
    281. B Desmet & E-H Aghezzaf & H Vanmaele, 2010. "A normal approximation model for safety stock optimization in a two-echelon distribution system," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(1), pages 156-163, January.
    282. David G. Lawson & Evan L. Porteus, 2000. "Multistage Inventory Management with Expediting," Operations Research, INFORMS, vol. 48(6), pages 878-893, December.
    283. Wang, Xun & Disney, Stephen M., 2016. "The bullwhip effect: Progress, trends and directions," European Journal of Operational Research, Elsevier, vol. 250(3), pages 691-701.
    284. Jörg Rambau & Konrad Schade, 2014. "The stochastic guaranteed service model with recourse for multi-echelon warehouse management," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 79(3), pages 293-326, June.
    285. Matthew J. Sobel & Volodymyr Babich, 2012. "Optimality of Myopic Policies for Dynamic Lot-Sizing Problems in Serial Production Lines with Random Yields and Autoregressive Demand," Operations Research, INFORMS, vol. 60(6), pages 1520-1536, December.
    286. Fangruo Chen, 2000. "Optimal Policies for Multi-Echelon Inventory Problems with Batch Ordering," Operations Research, INFORMS, vol. 48(3), pages 376-389, June.
    287. Yossi Aviv, 2007. "On the Benefits of Collaborative Forecasting Partnerships Between Retailers and Manufacturers," Management Science, INFORMS, vol. 53(5), pages 777-794, May.
    288. Alexandar Angelus & Evan L. Porteus, 2008. "An Asset Assembly Problem," Operations Research, INFORMS, vol. 56(3), pages 665-680, June.
    289. Andrew Caplin & John Leahy, 2010. "Economic Theory and the World of Practice: A Celebration of the ( S , s ) Model," Journal of Economic Perspectives, American Economic Association, vol. 24(1), pages 183-202, Winter.

  5. Herbert Scarf, 2004. "Comments on "Optimal Policies for a Multi-Echelon Inventory Problem"," Management Science, INFORMS, vol. 50(12_supple), pages 1791-1793, December.

    Cited by:

    1. Beullens, Patrick, 2014. "Revisiting foundations in lot sizing—Connections between Harris, Crowther, Monahan, and Clark," International Journal of Production Economics, Elsevier, vol. 155(C), pages 68-81.

  6. Herbert Scarf, 1994. "The Allocation of Resources in the Presence of Indivisibilities," Journal of Economic Perspectives, American Economic Association, vol. 8(4), pages 111-128, Fall.
    See citations under working paper version above.
  7. Herbert E. Scarf, 1990. "Mathematical Programming and Economic Theory," Operations Research, INFORMS, vol. 38(3), pages 377-385, June.
    See citations under working paper version above.
  8. Scarf, Herbert E, 1986. "Neighborhood Systems for Production Sets with Indivisibilities," Econometrica, Econometric Society, vol. 54(3), pages 507-532, May.
    See citations under working paper version above.
  9. Scarf, Herbert E, 1981. "Production Sets with Indivisibilities-Part II: The Case of Two Activities," Econometrica, Econometric Society, vol. 49(2), pages 395-423, March.

    Cited by:

    1. Kala Krishna & Cemile Yavas, 2001. "Lumpy Consumer Durables, Market Power, and Endogenous Business Cycles," NBER Working Papers 8296, National Bureau of Economic Research, Inc.
    2. Tone, Kaoru & Sahoo, Biresh K., 2003. "Scale, indivisibilities and production function in data envelopment analysis," International Journal of Production Economics, Elsevier, vol. 84(2), pages 165-192, May.
    3. Koshevoy, G.A. & Talman, A.J.J., 2002. "Competitive Equilibria in Economies with Multiple Divisible and Multiple Divisible Commodities," Other publications TiSEM b80a97ac-bf8d-429f-98ce-7, Tilburg University, School of Economics and Management.
    4. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 1999. "Existence and Welfare Properties of Equilibrium in an Exchange Economy with Multiple Divisible, Indivisible Commodities and Linear Production Technologies," Other publications TiSEM e7e05539-3fab-4998-818d-0, Tilburg University, School of Economics and Management.
    5. Walter Briec & Kristiaan Kerstens, 2006. "Input, output and graph technical efficiency measures on non-convex FDH models with various scaling laws: An integrated approach based upon implicit enumeration algorithms," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 14(1), pages 135-166, June.
    6. I. Bárány & H. E. Scarf & D. Shallcross, 2008. "The topological structure of maximal lattice free convex bodies: The general case," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 11, pages 191-205, Palgrave Macmillan.
    7. Yang, Z.F., 1994. "A simplicial algorithm for testing the integral properties of polytopes : A revision," Other publications TiSEM 72b67872-ca37-4bb5-8a13-7, Tilburg University, School of Economics and Management.
    8. C. Dang, 2001. "Computing an Integer Point of a Class of Convex Sets," Journal of Optimization Theory and Applications, Springer, vol. 108(2), pages 333-348, February.
    9. Herbert E. Scarf & David F. Shallcross, 2008. "The Frobenius Problem and Maximal Lattice Free Bodies," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 7, pages 149-153, Palgrave Macmillan.
    10. Herbert E. Scarf & Kevin M. Woods, 2004. "Neighborhood Complexes and Generating Functions for Affine Semigroups," Cowles Foundation Discussion Papers 1458, Cowles Foundation for Research in Economics, Yale University.
    11. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2002. "Existence and welfare properties of equilibrium in an exchange economy with multiple divisible and indivisible commodities and linear production," Other publications TiSEM 5a5610bf-4f85-4a25-963c-c, Tilburg University, School of Economics and Management.
    12. David J Mayston, 2017. "Convexity, quality and efficiency in education," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 446-455, April.
    13. Sahoo, Biresh K. & Tone, Kaoru, 2013. "Non-parametric measurement of economies of scale and scope in non-competitive environment with price uncertainty," Omega, Elsevier, vol. 41(1), pages 97-111.
    14. Gerard van der Laan & Dolf Talman & Zaifu Yang, 2004. "Solving Discrete Zero Point Problems," Tinbergen Institute Discussion Papers 04-112/1, Tinbergen Institute.
    15. Francesco Luna, 2004. "Research and Development in Computable Production Functions," Metroeconomica, Wiley Blackwell, vol. 55(2‐3), pages 180-194, May.
    16. Bennett Levitan & Jose Lobo & Stuart Kauffman & Richard Schuler, 1999. "Optimal Organization Size in a Stochastic Environment with Externalities," Working Papers 99-04-024, Santa Fe Institute.
    17. Koshevoy, G.A. & Talman, A.J.J., 2006. "Competitive Equilibria in Economies with Multiple Divisible and Indivisible Commodities and No Money," Other publications TiSEM 130306fe-6e3c-499c-b776-c, Tilburg University, School of Economics and Management.
    18. Bruno Coquet & Jacques Le Cacheux, 1996. "Les privatisations dans la perspective de l'intégration européenne," Revue Économique, Programme National Persée, vol. 47(6), pages 1333-1350.
    19. Truchon, M., 1988. "Programmation Mathematique Et Theorie Economique," Cahiers de recherche 8811, Université Laval - Département d'économique.
    20. Kumaraswamy Velupillai, 2003. "Economics and the complexity vision: chimerical partners or elysian adventurers," Department of Economics Working Papers 0307, Department of Economics, University of Trento, Italia.
    21. Cesaroni, Giovanni & Kerstens, Kristiaan & Van de Woestyne, Ignace, 2017. "Global and local scale characteristics in convex and nonconvex nonparametric technologies: A first empirical exploration," European Journal of Operational Research, Elsevier, vol. 259(2), pages 576-586.
    22. Mark Müser & Harald Dyckhoff, 2017. "Quality splitting in waste incineration due to non-convex production possibilities," Journal of Business Economics, Springer, vol. 87(1), pages 73-96, January.
    23. Bennett Levitan & José Lobo & Richard Schuler & Stuart Kauffman, 2002. "Evolution of Organizational Performance and Stability in a Stochastic Environment," Computational and Mathematical Organization Theory, Springer, vol. 8(4), pages 281-313, December.
    24. Jensen Christian, 2014. "Replication and Returns to Scale in Production," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 14(1), pages 1-22, February.
    25. Yang, Z.F., 1994. "A simplicial algorithm for testing the integral property of a polytope," Other publications TiSEM a3254707-1a99-48bf-857f-7, Tilburg University, School of Economics and Management.
    26. Rabia Nessah & Kristiaan Kerstens, 2008. "Characterizations of the Existence of Nash Equilibria with Non-convex Strategy Sets," Working Papers 2008-ECO-13, IESEG School of Management.
    27. Robert Weismantel, 1998. "Test sets of integer programs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 47(1), pages 1-37, February.

  10. Scarf, Herbert E, 1981. "Production Sets with Indivisibilities-Part I: Generalities," Econometrica, Econometric Society, vol. 49(1), pages 1-32, January.

    Cited by:

    1. Kala Krishna & Cemile Yavas, 2001. "Lumpy Consumer Durables, Market Power, and Endogenous Business Cycles," NBER Working Papers 8296, National Bureau of Economic Research, Inc.
    2. Tone, Kaoru & Sahoo, Biresh K., 2003. "Scale, indivisibilities and production function in data envelopment analysis," International Journal of Production Economics, Elsevier, vol. 84(2), pages 165-192, May.
    3. Koshevoy, G.A. & Talman, A.J.J., 2002. "Competitive Equilibria in Economies with Multiple Divisible and Multiple Divisible Commodities," Other publications TiSEM b80a97ac-bf8d-429f-98ce-7, Tilburg University, School of Economics and Management.
    4. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 1999. "Existence and Welfare Properties of Equilibrium in an Exchange Economy with Multiple Divisible, Indivisible Commodities and Linear Production Technologies," Other publications TiSEM e7e05539-3fab-4998-818d-0, Tilburg University, School of Economics and Management.
    5. van der Laan, Gerard & Talman, Dolf & Yang, Zaifu, 2002. "Existence and Welfare Properties of Equilibrium in an Exchange Economy with Multiple Divisible and Indivisible Commodities and Linear Production Technologies," Journal of Economic Theory, Elsevier, vol. 103(2), pages 411-428, April.
    6. Walter Briec & Kristiaan Kerstens, 2006. "Input, output and graph technical efficiency measures on non-convex FDH models with various scaling laws: An integrated approach based upon implicit enumeration algorithms," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 14(1), pages 135-166, June.
    7. I. Bárány & H. E. Scarf & D. Shallcross, 2008. "The topological structure of maximal lattice free convex bodies: The general case," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 11, pages 191-205, Palgrave Macmillan.
    8. Yang, Z.F., 1994. "A simplicial algorithm for testing the integral properties of polytopes : A revision," Other publications TiSEM 72b67872-ca37-4bb5-8a13-7, Tilburg University, School of Economics and Management.
    9. C. Dang, 2001. "Computing an Integer Point of a Class of Convex Sets," Journal of Optimization Theory and Applications, Springer, vol. 108(2), pages 333-348, February.
    10. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 2002. "Existence and welfare properties of equilibrium in an exchange economy with multiple divisible and indivisible commodities and linear production," Other publications TiSEM 5a5610bf-4f85-4a25-963c-c, Tilburg University, School of Economics and Management.
    11. Sahoo, Biresh K. & Tone, Kaoru, 2013. "Non-parametric measurement of economies of scale and scope in non-competitive environment with price uncertainty," Omega, Elsevier, vol. 41(1), pages 97-111.
    12. Halkos, George & Sundström, Aksel & Tzeremes, Nickolaos, 2013. "Environmental performance and quality of governance: A non-parametric analysis of the NUTS 1-regions in France, Germany and the UK," MPRA Paper 48890, University Library of Munich, Germany.
    13. Gerard van der Laan & Dolf Talman & Zaifu Yang, 2004. "Solving Discrete Zero Point Problems," Tinbergen Institute Discussion Papers 04-112/1, Tinbergen Institute.
    14. Francesco Luna, 2004. "Research and Development in Computable Production Functions," Metroeconomica, Wiley Blackwell, vol. 55(2‐3), pages 180-194, May.
    15. Bennett Levitan & Jose Lobo & Stuart Kauffman & Richard Schuler, 1999. "Optimal Organization Size in a Stochastic Environment with Externalities," Working Papers 99-04-024, Santa Fe Institute.
    16. Koshevoy, G.A. & Talman, A.J.J., 2006. "Competitive Equilibria in Economies with Multiple Divisible and Indivisible Commodities and No Money," Other publications TiSEM 130306fe-6e3c-499c-b776-c, Tilburg University, School of Economics and Management.
    17. Bruno Coquet & Jacques Le Cacheux, 1996. "Les privatisations dans la perspective de l'intégration européenne," Revue Économique, Programme National Persée, vol. 47(6), pages 1333-1350.
    18. Truchon, M., 1988. "Programmation Mathematique Et Theorie Economique," Cahiers de recherche 8811, Université Laval - Département d'économique.
    19. Kumaraswamy Velupillai, 2003. "Economics and the complexity vision: chimerical partners or elysian adventurers," Department of Economics Working Papers 0307, Department of Economics, University of Trento, Italia.
    20. Cesaroni, Giovanni & Kerstens, Kristiaan & Van de Woestyne, Ignace, 2017. "Global and local scale characteristics in convex and nonconvex nonparametric technologies: A first empirical exploration," European Journal of Operational Research, Elsevier, vol. 259(2), pages 576-586.
    21. Mark Müser & Harald Dyckhoff, 2017. "Quality splitting in waste incineration due to non-convex production possibilities," Journal of Business Economics, Springer, vol. 87(1), pages 73-96, January.
    22. Bennett Levitan & José Lobo & Richard Schuler & Stuart Kauffman, 2002. "Evolution of Organizational Performance and Stability in a Stochastic Environment," Computational and Mathematical Organization Theory, Springer, vol. 8(4), pages 281-313, December.
    23. Jensen Christian, 2014. "Replication and Returns to Scale in Production," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 14(1), pages 1-22, February.
    24. Yang, Z.F., 1994. "A simplicial algorithm for testing the integral property of a polytope," Other publications TiSEM a3254707-1a99-48bf-857f-7, Tilburg University, School of Economics and Management.
    25. Rabia Nessah & Kristiaan Kerstens, 2008. "Characterizations of the Existence of Nash Equilibria with Non-convex Strategy Sets," Working Papers 2008-ECO-13, IESEG School of Management.
    26. Robert Weismantel, 1998. "Test sets of integer programs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 47(1), pages 1-37, February.

  11. Scarf, Herbert, 1981. "Comment on: "On the Stability of Competitive Equilibrium and the Patterns of Initial Holdings: An Example"," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(2), pages 469-470, June.

    Cited by:

    1. D. Wade Hands, 2012. "The Rise and Fall of Walrasian Microeconomics: The Keynesian Effect," Chapters, in: Microfoundations Reconsidered, chapter 3, Edward Elgar Publishing.
    2. Mandel, Antoine & Gintis, Herbert, 2014. "Stochastic stability in the Scarf economy," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 44-49.
    3. Masayoshi Hirota, 1982. "Global Stability in a Class of Markets with Three Commodities and Three Consumers," Cowles Foundation Discussion Papers 655, Cowles Foundation for Research in Economics, Yale University.

  12. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.

    Cited by:

    1. Murat Atlamaz & Bettina Klaus, 2003. "Manipulation via Endowments in Exchange Markets with Indivisible Goods," UFAE and IAE Working Papers 598.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    2. Lars Ehlers, 2012. "Top Trading with Fixed Tie-Breaking in Markets with Indivisible Goods," Cahiers de recherche 03-2012, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    3. Monte, Daniel & Tumennasan, Norovsambuu, 2015. "Centralized allocation in multiple markets," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 74-85.
    4. Koshevoy, G.A. & Talman, A.J.J., 2002. "Competitive Equilibria in Economies with Multiple Divisible and Multiple Divisible Commodities," Other publications TiSEM b80a97ac-bf8d-429f-98ce-7, Tilburg University, School of Economics and Management.
    5. Alvin E. Roth & Tayfun Sonmez & M. Utku Unver, 2005. "Efficient Kidney Exchange: Coincidence of Wants in a Structured Market," NBER Working Papers 11402, National Bureau of Economic Research, Inc.
    6. van der Laan, G. & Talman, A.J.J. & Yang, Z.F., 1999. "Existence and Welfare Properties of Equilibrium in an Exchange Economy with Multiple Divisible, Indivisible Commodities and Linear Production Technologies," Other publications TiSEM e7e05539-3fab-4998-818d-0, Tilburg University, School of Economics and Management.
    7. Bochet, O.L.A. & Klaus, B.E. & Walzl, M., 2007. "Dynamic recontracting processes with multiple indivisible goods," Research Memorandum 018, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    8. Demuynck, Thomas & Herings, P. Jean-Jacques & Saulle, Riccardo & Seel, Christian, 2018. "The Myopic Stable Set for Social Environments (RM/17/002-revised)," Research Memorandum 001, Maastricht University, Graduate School of Business and Economics (GSBE).
    9. William Thomson, 2014. "Non-bossiness," RCER Working Papers 586, University of Rochester - Center for Economic Research (RCER).
    10. Kandori, Michihiro & Serrano, Roberto & Volij, Oscar, 2005. "Decentralized trade, random utility and the evolution of social welfare," UC3M Working papers. Economics we056433, Universidad Carlos III de Madrid. Departamento de Economía.
    11. Ehlers, Lars, 2018. "Strategy-proofness and essentially single-valued cores revisited," Journal of Economic Theory, Elsevier, vol. 176(C), pages 393-407.
    12. Alcalde, Jose, 2013. "Random Housing with Existing Tenants," QM&ET Working Papers 13-5, University of Alicante, D. Quantitative Methods and Economic Theory.
    13. Yeon-Koo Che & Olivier Tercieux, 2019. "Efficiency and Stability in Large Matching Markets," Journal of Political Economy, University of Chicago Press, vol. 127(5), pages 2301-2342.
    14. Kyle Greenberg & Parag A. Pathak & Tayfun Sönmez, 2020. "Mechanism Design meets Priority Design: Redesigning the US Army’s Branching Process Through Market Design," Boston College Working Papers in Economics 1035, Boston College Department of Economics.
    15. Tommy Andersson & Lars Ehlers & Lars-Gunnar Svensson & Ryan Tierney, 2022. "Gale’s Fixed Tax for Exchanging Houses," Mathematics of Operations Research, INFORMS, vol. 47(4), pages 3110-3128, November.
    16. Hideo Konishi & M. Utku Unver, 2003. "Credible Group-Stability in Many-to-Many Matching Problems," Boston College Working Papers in Economics 570, Boston College Department of Economics, revised 19 Jan 2005.
    17. Joana Pais & Ágnes Pintér & Róbert F. Veszteg, 2011. "College Admissions And The Role Of Information: An Experimental Study," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 52(3), pages 713-737, August.
    18. Athanassoglou, Stergios & Sethuraman, Jay, 2010. "House allocation with fractional endowments," MPRA Paper 24351, University Library of Munich, Germany.
    19. Klaus, Bettina & Dimitrov, Dinko & Haake, Claus-Jochen, 2006. "Bundling in exchange markets with indivisible goods," Economics Letters, Elsevier, vol. 93(1), pages 106-110, October.
    20. Hong, Miho & Park, Jaeok, 2022. "Core and top trading cycles in a market with indivisible goods and externalities," Journal of Mathematical Economics, Elsevier, vol. 100(C).
    21. Sang-Chul Suh & Quan Wen, 2008. "Subgame perfect implementation of stable matchings in marriage problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 163-174, June.
    22. Onur Kesten & Morimitsu Kurino & Alexander S. Nesterov, 2017. "Efficient lottery design," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 31-57, January.
    23. Atila Abdulkadiroglu & Yeon-Koo Che & Parag A. Pathak & Alvin E. Roth & Olivier Tercieux, 2017. "Minimizing Justified Envy in School Choice: The Design of New Orleans' OneApp," NBER Working Papers 23265, National Bureau of Economic Research, Inc.
    24. Harless, Patrick & Phan, William, 2022. "Efficient mixtures of priority rules for assigning objects," Games and Economic Behavior, Elsevier, vol. 132(C), pages 73-89.
    25. Aleksei Yu. Kondratev & Alexander S. Nesterov, 2018. "Random Paths to Popularity in Two-Sided Matching," HSE Working papers WP BRP 195/EC/2018, National Research University Higher School of Economics.
    26. Julien Combe & Umut Mert Dur & Olivier Tercieux & Camille Terrier & M. Utku Ünver, 2022. "Market Design for Distributional Objectives in (Re)assignment: An Application to Improve the Distribution of Teachers in Schools," Boston College Working Papers in Economics 1050, Boston College Department of Economics.
    27. Yoshio Kamijo & Ryo Kawasaki, 2009. "Dynamics, Stability, and Foresight in the Shapley-Scarf Housing Market," Working Papers 2009.51, Fondazione Eni Enrico Mattei.
    28. Ning Sun & Zaifu Yang, 2008. "A Double-Track Auction for Substitutes and Complements," KIER Working Papers 656, Kyoto University, Institute of Economic Research.
    29. Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Kidney Exchange," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(2), pages 457-488.
    30. David Pérez-Castrillo & Marilda Sotomayor, 2019. "Constrained-Optimal Tradewise-Stable Outcomes in the One-Sided Assignment Game: A Solution Concept Weaker than the Core," Working Papers 1094, Barcelona School of Economics.
    31. Anno, Hidekazu & Kurino, Morimitsu, 2016. "On the operation of multiple matching markets," Games and Economic Behavior, Elsevier, vol. 100(C), pages 166-185.
    32. Einy, Ezra & Shitovitz, Benyamin, 2001. "Private Value Allocations in Large Economies with Differential Information," Games and Economic Behavior, Elsevier, vol. 34(2), pages 287-311, February.
    33. Yu Wang & Aradhna Krishna, 2006. "Timeshare Exchange Mechanisms," Management Science, INFORMS, vol. 52(8), pages 1223-1237, August.
    34. Dimitrov, Dinko & Sung, Shao Chin, 2007. "On top responsiveness and strict core stability," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 130-134, February.
    35. Alvin Roth, 2008. "Deferred acceptance algorithms: history, theory, practice, and open questions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 537-569, March.
    36. Josue Ortega, 2017. "Social Integration in Two-Sided Matching Markets," Papers 1705.08033, arXiv.org, revised Jul 2018.
    37. Takaaki Abe & Yukihiko Funaki, 2018. "The Unbinding Core for Coalitional Form Games," Working Papers 1805, Waseda University, Faculty of Political Science and Economics.
    38. Ortega, Josué & Klein, Thilo, 2023. "The cost of strategy-proofness in school choice," Games and Economic Behavior, Elsevier, vol. 141(C), pages 515-528.
    39. Calvo, E. & Santos, J. C., 2001. "Prices in Mixed Cost Allocation Problems," Games and Economic Behavior, Elsevier, vol. 37(2), pages 243-258, November.
    40. Yeon-Koo Che & Olivier Tercieux, 2018. "Payoff Equivalence of Efficient Mechanisms in Large Matching Markets," PSE-Ecole d'économie de Paris (Postprint) halshs-01631682, HAL.
    41. Lars Ehlers & Bettina Klaus, 2014. "Object Allocation via Deferred-Acceptance: Strategy-Proofness and Comparative Statics," Cahiers de Recherches Economiques du Département d'économie 14.08, Université de Lausanne, Faculté des HEC, Département d’économie.
    42. Yun Liu, 2017. "On the welfare effects of affirmative actions in school choice," Review of Economic Design, Springer;Society for Economic Design, vol. 21(2), pages 121-151, June.
    43. Ehlers, Lars & Erdil, Aytek, 2010. "Efficient assignment respecting priorities," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1269-1282, May.
    44. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
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    499. Mizukami, Hideki & Wakayama, Takuma, 2009. "The relation between non-bossiness and monotonicity," Mathematical Social Sciences, Elsevier, vol. 58(2), pages 256-264, September.
    500. Lin Zhou, 1991. "An 'Average' Lyapunov Convexity Theorem and Some Core Equivalence Results," Cowles Foundation Discussion Papers 976, Cowles Foundation for Research in Economics, Yale University.
    501. Madhav Raghavan, 2018. "Influence in Private-Good Economies," Cahiers de Recherches Economiques du Département d'économie 18.05, Université de Lausanne, Faculté des HEC, Département d’économie.
    502. Kojima, Fuhito, 2012. "School choice: Impossibilities for affirmative action," Games and Economic Behavior, Elsevier, vol. 75(2), pages 685-693.
    503. Dilek Sayedahmed, 2022. "Centralized refugee matching mechanisms with hierarchical priority classes," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 7(1), pages 71-111, December.
    504. Bogomolnaia, Anna & Deb, Rajat & Ehlers, Lars, 2005. "Strategy-proof assignment on the full preference domain," Journal of Economic Theory, Elsevier, vol. 123(2), pages 161-186, August.
    505. Bade, Sophie, 2019. "Matching with single-peaked preferences," Journal of Economic Theory, Elsevier, vol. 180(C), pages 81-99.
    506. Miyagawa, Eiichi, 2002. "Strategy-Proofness and the Core in House Allocation Problems," Games and Economic Behavior, Elsevier, vol. 38(2), pages 347-361, February.
    507. Kesten, Onur & Kurino, Morimitsu, 2019. "Strategy-proof improvements upon deferred acceptance: A maximal domain for possibility," Games and Economic Behavior, Elsevier, vol. 117(C), pages 120-143.
    508. Noda, Shunya, 2020. "Size versus truncation robustness in the assignment problem," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 1-5.
    509. Galichon, Alfred & Ghelfi, Octavia & Henry, Marc, 2023. "Stable and extremely unequal," Economics Letters, Elsevier, vol. 226(C).
    510. Ekici, Özgün, 0. "Pair-efficient reallocation of indivisible objects," Theoretical Economics, Econometric Society.
    511. Yannai A. Gonczarowski & Ori Heffetz & Clayton Thomas, 2022. "Strategyproofness-Exposing Mechanism Descriptions," Papers 2209.13148, arXiv.org, revised Jul 2023.
    512. Viet-Cuong Trieu & Fu-Ren Lin, 2022. "The Development of a Service System for Facilitating Food Resource Allocation and Service Exchange," Sustainability, MDPI, vol. 14(19), pages 1-29, September.
    513. Thayer Morrill, 2015. "Two simple variations of top trading cycles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 123-140, September.
    514. Quesada, Antonio, 2009. "Allocation by coercion," MPRA Paper 19399, University Library of Munich, Germany.
    515. Satoru Fujishige & Zaifu Yang, 2022. "Barter markets, indivisibilities, and Markovian core," Bulletin of Economic Research, Wiley Blackwell, vol. 74(1), pages 39-48, January.
    516. Kesten, Onur, 2009. "Why do popular mechanisms lack efficiency in random environments?," Journal of Economic Theory, Elsevier, vol. 144(5), pages 2209-2226, September.

  13. Scarf, Herbert E., 1971. "On the existence of a coopertive solution for a general class of N-person games," Journal of Economic Theory, Elsevier, vol. 3(2), pages 169-181, June.
    See citations under working paper version above.
  14. Scarf, Herbert, 1969. "An Example of an Algorithm for Calculating General Equilibrium Prices," American Economic Review, American Economic Association, vol. 59(4), pages 669-677, Part I Se.

    Cited by:

    1. Cheung, Yun Kuen & Cole, Richard & Devanur, Nikhil R., 2020. "Tatonnement beyond gross substitutes? Gradient descent to the rescue," Games and Economic Behavior, Elsevier, vol. 123(C), pages 295-326.
    2. Bhattarai, Keshab & Nguyen, Dung T.K. & Nguyen, Chan V, 2018. "Impacts of Direct and Indirect Tax Reforms in Vietnam: A CGE Analysis," MPRA Paper 92068, University Library of Munich, Germany, revised 08 Feb 2019.
    3. John M. Treddenick & Robin W. Boadway, 1977. "The General Equilibrium Effects of Commodity Taxes in an Economy With Inter-Industry Flows," Public Finance Review, , vol. 5(3), pages 303-328, July.
    4. Mandel, Antoine & Gintis, Herbert, 2014. "Stochastic stability in the Scarf economy," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 44-49.
    5. Mayer, Francine, 1983. "Les modèles de répartition des revenus de type intégré : quelques éléments de comparaison," L'Actualité Economique, Société Canadienne de Science Economique, vol. 59(1), pages 121-134, mars.
    6. Amy Peng, 2009. "Introducing CGE Models to the Classroom Using EXCEL," Working Papers 013, Ryerson University, Department of Economics.
    7. Ricker, Martin, 1997. "Limits to economic growth as shown by a computable general equilibrium model," Ecological Economics, Elsevier, vol. 21(2), pages 141-158, May.
    8. Ahmed, Vaqar & O' Donoghue, Cathal, 2007. "CGE-Microsimulation Modelling: A Survey," MPRA Paper 9307, University Library of Munich, Germany.

  15. Herbert E. Scarf, 1960. "Some remarks on bayes solutions to the inventory problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 7(4), pages 591-596, December.

    Cited by:

    1. Arnab Bisi & Maqbool Dada, 2007. "Dynamic learning, pricing, and ordering by a censored newsvendor," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(4), pages 448-461, June.
    2. Yong Zhang & Vladimir Vovk & Weiguo Zhang, 2014. "Probability-free solutions to the non-stationary newsvendor problem," Annals of Operations Research, Springer, vol. 223(1), pages 433-449, December.
    3. Kaijie Zhu & Ulrich W. Thonemann, 2004. "An adaptive forecasting algorithm and inventory policy for products with short life cycles," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(5), pages 633-653, August.
    4. Xin, Linwei & Goldberg, David A., 2021. "Time (in)consistency of multistage distributionally robust inventory models with moment constraints," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1127-1141.
    5. Nicholas C. Petruzzi & Maqbool Dada, 2002. "Dynamic pricing and inventory control with learning," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(3), pages 303-325, April.
    6. Harun Avci & Kagan Gokbayrak & Emre Nadar, 2020. "Structural Results for Average‐Cost Inventory Models with Markov‐Modulated Demand and Partial Information," Production and Operations Management, Production and Operations Management Society, vol. 29(1), pages 156-173, January.
    7. Martin A. Lariviere & Evan L. Porteus, 1999. "Stalking Information: Bayesian Inventory Management with Unobserved Lost Sales," Management Science, INFORMS, vol. 45(3), pages 346-363, March.
    8. Mila Nambiar & David Simchi‐Levi & He Wang, 2021. "Dynamic Inventory Allocation with Demand Learning for Seasonal Goods," Production and Operations Management, Production and Operations Management Society, vol. 30(3), pages 750-765, March.
    9. Bharadwaj Kadiyala & Özalp Özer & Alain Bensoussan, 2020. "A Mechanism Design Approach to Vendor Managed Inventory," Management Science, INFORMS, vol. 66(6), pages 2628-2652, June.
    10. Rong Li & Jing‐Sheng Jeannette Song & Shuxiao Sun & Xiaona Zheng, 2022. "Fight inventory shrinkage: Simultaneous learning of inventory level and shrinkage rate," Production and Operations Management, Production and Operations Management Society, vol. 31(6), pages 2477-2491, June.
    11. Li, Tianyun & Fang, Weiguo & Baykal-Gürsoy, Melike, 2021. "Two-stage inventory management with financing under demand updates," International Journal of Production Economics, Elsevier, vol. 232(C).

Chapters

  1. Herbert E. Scarf & David F. Shallcross, 2008. "The Frobenius Problem and Maximal Lattice Free Bodies," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 7, pages 149-153, Palgrave Macmillan.
    See citations under working paper version above.
  2. Herbert E. Scarf, 2008. "Production Sets with Indivisibilities Part II. The Case of Two Activities," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 3, pages 39-67, Palgrave Macmillan.
    See citations under working paper version above.
  3. Herbert E. Scarf, 2008. "Production Sets with Indivisibilities Part I: Generalities," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 2, pages 7-38, Palgrave Macmillan.
    See citations under working paper version above.
  4. Herbert E. Scarf, 2008. "Neighborhood Systems for Production Sets with Indivisibilities," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 5, pages 105-130, Palgrave Macmillan.
    See citations under working paper version above.
  5. Herbert E. Scarf, 2008. "An observation on the structure of production sets with indivisibilities," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 1, pages 1-5, Palgrave Macmillan.
    See citations under working paper version above.
  6. Imre Bárány & Roger Howe & Herbert E. Scarf, 2008. "The complex of maximal lattice free simplices," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 8, pages 155-163, Palgrave Macmillan.
    See citations under working paper version above.
  7. I. Bárány & H. E. Scarf & D. Shallcross, 2008. "The topological structure of maximal lattice free convex bodies: The general case," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 11, pages 191-205, Palgrave Macmillan.
    See citations under working paper version above.
  8. Scarf, Herbert E., 1993. "The computation of equilibrium prices: An exposition," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 21, pages 1007-1061, Elsevier.
    See citations under working paper version above.Sorry, no citations of chapters recorded.

Books

  1. Scarf,Herbert E. & Shoven,John B., 2008. "Applied General Equilibrium Analysis," Cambridge Books, Cambridge University Press, number 9780521070935.

    Cited by:

    1. Agus Budiyono & Ryuta Ray Kato, 2011. "Should Indonesia Suffer from More Reduction of the Subsidy to the Petroleum Sector?," Working Papers EMS_2011_25, Research Institute, International University of Japan.
    2. Ryuta Ray Kato, 2011. "The Impact of Marginal Tax Reforms on the Supply of Health Related Services in Japan," Working Papers EMS_2011_19, Research Institute, International University of Japan.
    3. Isaac Dadson & Ryuta Ray Kato, 2015. "Remittances and the Brain Drain in Ghana: A Computable General Equilibrium Approach," Working Papers EMS_2015_04, Research Institute, International University of Japan.
    4. AFM Mohiuddin & Ryuta Ray Kato, 2009. "Trade Liberalization of the Fishery Industry of Japan," Working Papers EMS_2009_10, Research Institute, International University of Japan.
    5. Ryuta Ray Kato, 2010. "Tax and Subsidy Policies for the Medical Service Sector and the Pharmaceutical Industry: A Computable General Equilibrium Approach," Working Papers EMS_2010_19, Research Institute, International University of Japan.
    6. Isaac Dadson & Ryuta Ray Kato, 2015. "Remittances and the Redistributive Tax Policy in Ghana: A Computable General Equilibrium Approach," Working Papers EMS_2015_05, Research Institute, International University of Japan.
    7. Khan, M. Ali, 2016. "On a forest as a commodity and on commodification in the discipline of forestry," Forest Policy and Economics, Elsevier, vol. 72(C), pages 7-17.
    8. Antonio Gómez Gómez-Plana, "undated". "Simulación De Políticas Económicas: Los Modelos De Equilibrio General Aplicado," Working Papers 35-02 Classification-JEL , Instituto de Estudios Fiscales.

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