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Competitive Equilibrium in an Exchange Economy with Indivisibilities

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Cited by:

  1. Alexander Teytelboym & Shengwu Li & Scott Duke Kominers & Mohammad Akbarpour & Piotr Dworczak, 2021. "Discovering Auctions: Contributions of Paul Milgrom and Robert Wilson," Scandinavian Journal of Economics, Wiley Blackwell, vol. 123(3), pages 709-750, July.
  2. Vohra, Rakesh V., 2015. "Combinatorial Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
  3. Lawrence M. Ausubel & Peter Cramton & Paul Milgrom, 2012. "System and Method for a Hybrid Clock and Proxy Auction," Papers of Peter Cramton 10acmhc, University of Maryland, Department of Economics - Peter Cramton, revised 2012.
  4. Iftekhar, M. S. & Tisdell, J. G., 2018. "Learning in repeated multiple unit combinatorial auctions: An experimental study," Working Papers 267301, University of Western Australia, School of Agricultural and Resource Economics.
  5. Paola Manzini & Marco Mariotti & Levent Ülkü, 2019. "Stochastic Complementarity," The Economic Journal, Royal Economic Society, vol. 129(619), pages 1343-1363.
  6. Ostrovsky, Michael & Paes Leme, Renato, 2015. "Gross substitutes and endowed assignment valuations," Theoretical Economics, Econometric Society, vol. 10(3), September.
  7. Ma, Jinpeng & Nie, Fusheng, 2003. "Walrasian equilibrium in an exchange economy with indivisibilities," Mathematical Social Sciences, Elsevier, vol. 46(2), pages 159-192, October.
  8. Jinpeng Ma, 1997. "English Auctions and Walrasian Equilibria with Multiple Objects: a dynamic approach," Departmental Working Papers 199702, Rutgers University, Department of Economics.
  9. Koshevoy, Gleb A. & Talman, Dolf, 2006. "Competitive equilibria in economies with multiple indivisible and multiple divisible commodities," Journal of Mathematical Economics, Elsevier, vol. 42(2), pages 216-226, April.
  10. Somdeb Lahiri, 2005. "Manipulation via Endowments in a Market with Profit Maximizing Agents," Game Theory and Information 0511008, University Library of Munich, Germany.
  11. Zhiling Guo & Gary J. Koehler & Andrew B. Whinston, 2012. "A Computational Analysis of Bundle Trading Markets Design for Distributed Resource Allocation," Information Systems Research, INFORMS, vol. 23(3-part-1), pages 823-843, September.
  12. Bevia, Carmen & Quinzii, Martine & Silva, Jose A., 1999. "Buying several indivisible goods," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 1-23, January.
  13. Arribas, I. & Urbano, A., 2018. "Identification of efficient equilibria in multiproduct trading with indivisibilities and non-monotonicity," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 83-94.
  14. Proano, Ruben A. & Jacobson, Sheldon H. & Zhang, Wenbo, 2012. "Making combination vaccines more accessible to low-income countries: The antigen bundle pricing problem," Omega, Elsevier, vol. 40(1), pages 53-64, January.
  15. Delacrétaz, David & Loertscher, Simon & Mezzetti, Claudio, 2022. "When Walras meets Vickrey," Theoretical Economics, Econometric Society, vol. 17(4), November.
  16. Michael Florig & Jorge Rivera, 2015. "Existence of a competitive equilibrium when all goods are indivisible," Working Papers wp403, University of Chile, Department of Economics.
  17. Goossens, D.R. & Müller, R.J. & Spieksma, F.C.R., 2007. "Matrix bids in combinatorial auctions: expressiveness and micro-economic properties," Research Memorandum 016, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  18. Peter R. Wurman & Michael P. Wellman, 1999. "Equilibrium Prices in Bundle Auctions," Working Papers 99-09-064, Santa Fe Institute.
  19. Sotomayor, Marilda, 2007. "Connecting the cooperative and competitive structures of the multiple-partners assignment game," Journal of Economic Theory, Elsevier, vol. 134(1), pages 155-174, May.
  20. Lawrence M. Ausubel & Peter Cramton & R. Preston McAfee & John McMillan, 1997. "Synergies in Wireless Telephony: Evidence from the Broadband PCS Auctions," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(3), pages 497-527, September.
  21. Ma, Jinpeng, 1998. "Competitive Equilibrium with Indivisibilities," Journal of Economic Theory, Elsevier, vol. 82(2), pages 458-468, October.
  22. William E. Walsh & Michael P. Wellman, 1999. "Efficiency and Equilibrium in Task Allocation Economics with Hierarchical Dependencies," Working Papers 99-07-049, Santa Fe Institute.
  23. Ma, Jinpeng, 2000. "An Alternative Proof of an Equilibrium Existence Theorem in Exchange Economies with Indivisibilities," Games and Economic Behavior, Elsevier, vol. 31(1), pages 147-151, April.
  24. Wellman, Michael P. & Walsh, William E. & Wurman, Peter R. & MacKie-Mason, Jeffrey K., 2001. "Auction Protocols for Decentralized Scheduling," Games and Economic Behavior, Elsevier, vol. 35(1-2), pages 271-303, April.
  25. Xiaojing Xu & Jinpeng Ma & Xiaoping Xie, 2019. "Price Convergence under a Probabilistic Double Auction," Computational Economics, Springer;Society for Computational Economics, vol. 54(3), pages 1113-1155, October.
  26. Berliant, Marcus & Dunz, Karl, 2004. "A foundation of location theory: existence of equilibrium, the welfare theorems, and core," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 593-618, August.
  27. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
  28. Michel Le Breton & Juan Moreno-Ternero & Alexei Savvateev & Shlomo Weber, 2013. "Stability and fairness in models with a multiple membership," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(3), pages 673-694, August.
  29. Florig, Michael & Rivera, Jorge, 2017. "Existence of a competitive equilibrium when all goods are indivisible," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 145-153.
  30. Yang, Yi-You, 2015. "On the Maximal Domain Theorem," MPRA Paper 67265, University Library of Munich, Germany.
  31. Danilov, Vladimir I. & Koshevoy, Gleb A. & Lang, Christine, 2008. "Equilibria with indivisible goods and package-utilities," Sonderforschungsbereich 504 Publications 08-30, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  32. Alkan, Ahmet & Gale, David, 2003. "Stable schedule matching under revealed preference," Journal of Economic Theory, Elsevier, vol. 112(2), pages 289-306, October.
  33. Tim Roughgarden, 2018. "Complexity Theory, Game Theory, and Economics: The Barbados Lectures," Papers 1801.00734, arXiv.org, revised Feb 2020.
  34. Marilda Sotomayor, 2010. "Stability property of matchings is a natural solution concept in coalitional market games," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 237-248, March.
  35. Klemperer, Paul & Baldwin, Elizabeth & Edhan, Omer & Jagadeesan, Ravi & Teytelboym, Alexander, 2020. "The Equilibrium Existence Duality: Equilibrium with Indivisibilities & Income Effects," CEPR Discussion Papers 14926, C.E.P.R. Discussion Papers.
  36. Marzena Rostek & Nathan Yoder, 2020. "Matching With Complementary Contracts," Econometrica, Econometric Society, vol. 88(5), pages 1793-1827, September.
  37. Arribas, I. & Urbano, A., 2017. "Multiproduct trading with a common agent under complete information: Existence and characterization of Nash equilibrium," Journal of Economic Theory, Elsevier, vol. 167(C), pages 14-38.
  38. 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.
  39. Hitoshi Matsushima, 2011. "Efficient Combinatorial Exchanges," CARF F-Series CARF-F-258, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  40. Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014. "Demand Reduction and Inefficiency in Multi-Unit Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1366-1400.
  41. Wada, Kentaro & Akamatsu, Takashi, 2013. "A hybrid implementation mechanism of tradable network permits system which obviates path enumeration: An auction mechanism with day-to-day capacity control," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 60(C), pages 94-112.
  42. Ozan Candogan & Saša Pekeč, 2018. "Efficient Allocation and Pricing of Multifeatured Items," Management Science, INFORMS, vol. 64(12), pages 5521-5543, December.
  43. Tomoya KAZUMURA, 2020. "When can we design efficient and strategy-proof rules in package assignment problems?," Discussion papers e-21-008, Graduate School of Economics , Kyoto University.
  44. Bikhchandani, Sushil & Ostroy, Joseph M., 2002. "The Package Assignment Model," Journal of Economic Theory, Elsevier, vol. 107(2), pages 377-406, December.
  45. Milgrom, Paul & Strulovici, Bruno, 2009. "Substitute goods, auctions, and equilibrium," Journal of Economic Theory, Elsevier, vol. 144(1), pages 212-247, January.
  46. Hakan İnal, 2017. "An Extension of Ausubel's Auction for Heterogeneous Discrete Goods," Metroeconomica, Wiley Blackwell, vol. 68(4), pages 660-698, November.
  47. 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.
  48. Henry Schellhorn, 2004. "A Double-Sided Multiunit Combinatorial Auction for Substitutes: Theory and Algorithms," FAME Research Paper Series rp123, International Center for Financial Asset Management and Engineering.
  49. 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.
  50. 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).
  51. Sven de Vries & Rakesh V. Vohra, 2003. "Combinatorial Auctions: A Survey," INFORMS Journal on Computing, INFORMS, vol. 15(3), pages 284-309, August.
  52. Meertens, Marc & Potters, Jos & Reijnierse, Hans, 2002. "Envy-free and Pareto efficient allocations in economies with indivisible goods and money," Mathematical Social Sciences, Elsevier, vol. 44(3), pages 223-233, December.
  53. 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.
  54. Jaeok Park, 2015. "Competitive Equilibrium and Singleton Cores in Generalized Matching Problems (published in:International Journal of Game Theory, May 2017, Vol.46, Issue2, 487-509)," Working papers 2015rwp-85, Yonsei University, Yonsei Economics Research Institute.
  55. Elizabeth Baldwin & Paul Klemperer, 2019. "Understanding Preferences: “Demand Types”, and the Existence of Equilibrium With Indivisibilities," Econometrica, Econometric Society, vol. 87(3), pages 867-932, May.
  56. Satoru Fujishige & Zaifu Yang, 2015. "Decentralised Random Competitive Dynamic Market Processes," Discussion Papers 15/27, Department of Economics, University of York.
  57. Eleni Batziou & Martin Bichler & Maximilian Fichtl, 2022. "Core-Stability in Assignment Markets with Financially Constrained Buyers," Papers 2205.06132, arXiv.org.
  58. Teytelboym, Alexander, 2014. "Gross substitutes and complements: A simple generalization," Economics Letters, Elsevier, vol. 123(2), pages 135-138.
  59. Jaeok Park, 2017. "Competitive equilibrium and singleton cores in generalized matching problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(2), pages 487-509, May.
  60. Yang, Yi-You, 2013. "Competitive equilibrium for indivisible objects," MPRA Paper 57637, University Library of Munich, Germany, revised 28 Jul 2014.
  61. Ma, Jinpeng, 2001. "Job Matching and Coalition Formation with Utility or Disutility of Co-workers," Games and Economic Behavior, Elsevier, vol. 34(1), pages 83-103, January.
  62. Xiaojing Xu & Jinpeng Ma & Xiaoping Xie, 2017. "Convergence of Markovian price processes in a financial market transaction model," Operational Research, Springer, vol. 17(1), pages 239-273, April.
  63. 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.
  64. Chao Huang, 2022. "Firm-worker hypergraphs," Papers 2211.06887, arXiv.org, revised Nov 2023.
  65. 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.
  66. Nisan, Noam & Segal, Ilya, 2006. "The communication requirements of efficient allocations and supporting prices," Journal of Economic Theory, Elsevier, vol. 129(1), pages 192-224, July.
  67. Satoru Fujishige & Zaifu Yang, 2022. "Barter markets, indivisibilities, and Markovian core," Bulletin of Economic Research, Wiley Blackwell, vol. 74(1), pages 39-48, January.
  68. Jinpeng Ma & Qiongling Li, 2016. "Convergence of price processes under two dynamic double auctions," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 1-44, December.
  69. 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.
  70. Ning Sun & Zaifu Yang, 2008. "A Double-Track Auction for Substitutes and Complements," KIER Working Papers 656, Kyoto University, Institute of Economic Research.
  71. Jinpeng Ma, 1997. "Walrasian Equilibria in a Production Economy with Indivisibilities," Departmental Working Papers 199712, Rutgers University, Department of Economics.
  72. Martin Bichler & Johannes Knörr & Felipe Maldonado, 2023. "Pricing in Nonconvex Markets: How to Price Electricity in the Presence of Demand Response," Information Systems Research, INFORMS, vol. 34(2), pages 652-675, June.
  73. Ravi Bapna & Paulo Goes & Alok Gupta, 2005. "Pricing and Allocation for Quality-Differentiated Online Services," Management Science, INFORMS, vol. 51(7), pages 1141-1150, July.
  74. Martin Bichler & Pasha Shabalin & Georg Ziegler, 2013. "Efficiency with Linear Prices? A Game-Theoretical and Computational Analysis of the Combinatorial Clock Auction," Information Systems Research, INFORMS, vol. 24(2), pages 394-417, June.
  75. 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.
  76. Iftekhar, Md Sayed & Tisdell, John G., 2015. "Bidding and performance in multiple unit combinatorial fishery quota auctions: Role of information feedbacks," Marine Policy, Elsevier, vol. 62(C), pages 233-243.
  77. Sherstyuk, Katerina, 2003. "On competitive equilibria with common complementarities," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 55-62, August.
  78. Akiyoshi Shioura & Zaifu Yang, 2013. "Equilibrium, Auction, Multiple Substitutes and Complements," Discussion Papers 13/17, Department of Economics, University of York.
  79. Blumrosen, Liad & Nisan, Noam, 2010. "Informational limitations of ascending combinatorial auctions," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1203-1223, May.
  80. Lahiri, Somdeb, 2008. "Envy-free solutions, Non-linear equilibrium and Egalitarian-equivalence for the Package Assignment Problem," MPRA Paper 8444, University Library of Munich, Germany.
  81. Schwarz, Gregor & Bichler, Martin, 2022. "How to trade thirty thousand products: A wholesale market design for road capacity," Transportation Research Part A: Policy and Practice, Elsevier, vol. 164(C), pages 167-185.
  82. Dries R. Goossens & Rudolf Müller & Frits C. R. Spieksma, 2010. "Algorithms for Recognizing Economic Properties in Matrix Bid Combinatorial Auctions," INFORMS Journal on Computing, INFORMS, vol. 22(3), pages 339-352, August.
  83. Lehmann, Daniel, 2020. "Quality of local equilibria in discrete exchange economies," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 141-152.
  84. Lawrence M. Ausubel & Peter Cramton & Wynne P. Jones, 2012. "System and Method for an Auction of Multiple Types of Items," Papers of Peter Cramton 11acjam, University of Maryland, Department of Economics - Peter Cramton, revised 2012.
  85. Danilov, Vladimir & Koshevoy, Gleb & Murota, Kazuo, 2001. "Discrete convexity and equilibria in economies with indivisible goods and money," Mathematical Social Sciences, Elsevier, vol. 41(3), pages 251-273, May.
  86. Wellman Michael P & Osepayshvili Anna & MacKie-Mason Jeffrey K & Reeves Daniel, 2008. "Bidding Strategies for Simultaneous Ascending Auctions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-43, December.
  87. Sven de Vries & Rakesh Vohra, 2000. "Combinatorial Auctions: A Survey," Discussion Papers 1296, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  88. Babaioff, Moshe & Dobzinski, Shahar & Oren, Sigal, 2022. "Combinatorial auctions with endowment effect," Games and Economic Behavior, Elsevier, vol. 136(C), pages 255-273.
  89. Ravi Bapna & Sanjukta Das & Robert Garfinkel & Jan Stallaert, 2008. "A Market Design for Grid Computing," INFORMS Journal on Computing, INFORMS, vol. 20(1), pages 100-111, February.
  90. Saeed Alaei & Kamal Jain & Azarakhsh Malekian, 2016. "Competitive Equilibria in Two-Sided Matching Markets with General Utility Functions," Operations Research, INFORMS, vol. 64(3), pages 638-645, June.
  91. Ozan Candogan & Asuman Ozdaglar & Pablo A. Parrilo, 2015. "Iterative Auction Design for Tree Valuations," Operations Research, INFORMS, vol. 63(4), pages 751-771, August.
  92. Martin Bichler & Hans Ulrich Buhl & Johannes Knörr & Felipe Maldonado & Paul Schott & Stefan Waldherr & Martin Weibelzahl, 2022. "Electricity Markets in a Time of Change: A Call to Arms for Business Research," Schmalenbach Journal of Business Research, Springer, vol. 74(1), pages 77-102, March.
  93. Martin Bichler & Vladimir Fux & Jacob Goeree, 2018. "A Matter of Equality: Linear Pricing in Combinatorial Exchanges," Information Systems Research, INFORMS, vol. 29(4), pages 1024-1043, December.
  94. Kazuo Murota, 2016. "Discrete convex analysis: A tool for economics and game theory," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 151-273, December.
  95. Ivan Arribas & Amparo Urbano, 2004. "Mixed Bundling Strategies And Multiproduct Price Competition," Working Papers. Serie AD 2004-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  96. Hatfield, John William & Kominers, Scott Duke & Nichifor, Alexandru & Ostrovsky, Michael & Westkamp, Alexander, 2019. "Full substitutability," Theoretical Economics, Econometric Society, vol. 14(4), November.
  97. Meertens, M.A., 2005. "On balancedness of superadditive games and price equilibria in exchange economies," Economics Letters, Elsevier, vol. 86(1), pages 43-49, January.
  98. Arribas, Ivan & Urbano, Amparo, 2005. "Nash equilibria in a model of multiproduct price competition: an assignment problem," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 351-385, April.
  99. Iimura, Takuya, 2003. "A discrete fixed point theorem and its applications," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 725-742, September.
  100. Ming Fan & Jan Stallaert & Andrew B. Whinston, 2003. "Decentralized Mechanism Design for Supply Chain Organizations Using an Auction Market," Information Systems Research, INFORMS, vol. 14(1), pages 1-22, March.
  101. Segal, Ilya, 2007. "The communication requirements of social choice rules and supporting budget sets," Journal of Economic Theory, Elsevier, vol. 136(1), pages 341-378, September.
  102. Ben-Zwi, Oren, 2017. "Walrasian's characterization and a universal ascending auction," Games and Economic Behavior, Elsevier, vol. 104(C), pages 456-467.
  103. Lawrence M. Ausubel, 2006. "An Efficient Dynamic Auction for Heterogeneous Commodities," American Economic Review, American Economic Association, vol. 96(3), pages 602-629, June.
  104. Yang, Zaifu, 2003. "A competitive market model for indivisible commodities," Economics Letters, Elsevier, vol. 78(1), pages 41-47, January.
  105. 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.
  106. Yang, Yi-You, 2012. "Free disposal, monotonicity and equilibrium," MPRA Paper 42585, University Library of Munich, Germany.
  107. Ilya Segal, 2004. "The Communication Requirements of of Social Choice Rules and Supporting Budget Sets," Economics Working Papers 0039, Institute for Advanced Study, School of Social Science.
  108. Devansh Jalota & Michael Ostrovsky & Marco Pavone, 2022. "Matching with Transfers under Distributional Constraints," Papers 2202.05232, arXiv.org, revised Apr 2022.
  109. Satoru Fujishige & Zaifu Yang, 2020. "A Universal Dynamic Auction for Unimodular Demand Types: An Efficient Auction Design for Various Kinds of Indivisible Commodities," Discussion Papers 20/08, Department of Economics, University of York.
  110. Ngoc Mai Tran & Josephine Yu, 2019. "Product-Mix Auctions and Tropical GeometryAbstract: In a recent and ongoing work, Baldwin and Klemperer explore a connection between tropical geometry and economics. They give a sufficient condition f," Management Science, INFORMS, vol. 44(4), pages 1396-1411, November.
  111. Sulin Ba & Jan Stallaert & Andrew B. Whinston, 2001. "Optimal Investment in Knowledge Within a Firm Using a Market Mechanism," Management Science, INFORMS, vol. 47(9), pages 1203-1219, September.
  112. Jawad Abrache & Teodor Crainic & Michel Gendreau & Monia Rekik, 2007. "Combinatorial auctions," Annals of Operations Research, Springer, vol. 153(1), pages 131-164, September.
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