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Connecting the cooperative and competitive structures of the multiple-partners assignment game

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  • 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.
    • Handle: RePEc:eee:jetheo:v:134:y:2007:i:1:p:155-174
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    1. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-450, March.
    2. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-888, July.
    3. Sotomayor, Marilda, 2002. "A Simultaneous Descending Bid Auction for Multiple Items and Unitary Demand," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 56(3), July.
    4. Perez-Castrillo, David & Sotomayor, Marilda, 2002. "A Simple Selling and Buying Procedure," Journal of Economic Theory, Elsevier, vol. 103(2), pages 461-474, April.
    5. Kaneko, Mamoru, 1982. "The central assignment game and the assignment markets," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 205-232, September.
    6. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-872, August.
    7. Roth, Alvin E, 1984. "Stability and Polarization of Interests in Job Matching," Econometrica, Econometric Society, vol. 52(1), pages 47-57, January.
    8. Sotomayor, Marilda, 2003. "Some further remark on the core structure of the assignment game," Mathematical Social Sciences, Elsevier, vol. 46(3), pages 261-265, December.
    9. Bikhchandani, Sushil & Mamer, John W., 1997. "Competitive Equilibrium in an Exchange Economy with Indivisibilities," Journal of Economic Theory, Elsevier, vol. 74(2), pages 385-413, June.
    10. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    11. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-479, June.
    12. Alvin E. Roth, 1976. "Subsolutions and the Supercore of Cooperative Games," Mathematics of Operations Research, INFORMS, vol. 1(1), pages 43-49, February.
    13. Sotomayor, Marilda, 2000. "Existence of stable outcomes and the lattice property for a unified matching market," Mathematical Social Sciences, Elsevier, vol. 39(2), pages 119-132, March.
    14. Gul, Faruk & Stacchetti, Ennio, 2000. "The English Auction with Differentiated Commodities," Journal of Economic Theory, Elsevier, vol. 92(1), pages 66-95, May.
    15. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
    16. Marilda Sotomayor, 1992. "The Multiple Partners Game," Palgrave Macmillan Books, in: Mukul Majumdar (ed.), Equilibrium and Dynamics, chapter 17, pages 322-354, Palgrave Macmillan.
    17. Marilda Sotomayor, 1999. "The lattice structure of the set of stable outcomes of the multiple partners assignment game," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(4), pages 567-583.
    18. Sotomayor, Marilda, 1999. "Three remarks on the many-to-many stable matching problem," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 55-70, July.
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    Cited by:

    1. Talmor, Irit, 2022. "Solving the problem of maximizing diversity in public sector teams," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    2. David Pérez-Castrillo & Marilda Sotomayor, 2017. "The outcome of competitive equilibrium rules in buyer–seller markets when the agents play strategically," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(1), pages 99-119, June.
    3. 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.
    4. Yukihiko Funaki & Harold Houba & Evgenia Motchenkova, 2020. "Market power in bilateral oligopoly markets with non-expandable infrastructures," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(2), pages 525-546, June.
    5. Daniel Jaume & Jordi Massó & Alejandro Neme, 2012. "The multiple-partners assignment game with heterogeneous sales and multi-unit demands: competitive equilibria," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 76(2), pages 161-187, October.
    6. David Pérez-Castrillo & Marilda Sotomayor, 2013. "Two Folk Manipulability Theorems In The General One-To-Two-Sided Matching Markets With Money," Working Papers, Department of Economics 2013_01, University of São Paulo (FEA-USP).
    7. Pérez-Castrillo, David & Sotomayor, Marilda, 2019. "Comparative statics in the multiple-partners assignment game," Games and Economic Behavior, Elsevier, vol. 114(C), pages 177-192.
    8. Eric Bahel & Christian Trudeau, 2018. "Stable cost sharing in production allocation games," Review of Economic Design, Springer;Society for Economic Design, vol. 22(1), pages 25-53, June.
    9. Peter Biro & Walter Kern & Daniel Paulusma & Peter Wojuteczky, 2015. "The Stable Fixtures Problem with Payments," CERS-IE WORKING PAPERS 1545, Institute of Economics, Centre for Economic and Regional Studies.
    10. repec:spa:wpaper:2013wpecon02 is not listed on IDEAS
    11. David Pérez-Castrillo & Marilda Sotomayor, 2017. "On the manipulability of competitive equilibrium rules in many-to-many buyer–seller markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 1137-1161, November.
    12. Fagebaume, Alexis & Gale, David & Sotomayor, Marilda, 2010. "A note on the multiple partners assignment game," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 388-392, July.
    13. Inés Macho-Stadler & David Pérez-Castrillo, 2021. "Agency theory meets matching theory," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 1-33, March.
    14. Gerard Domènech Gironell & Marina Núñez Oliva, 2022. "Axioms for the optimal stable rules and fair-division rules in a multiple-partners job market," UB School of Economics Working Papers 2022/419, University of Barcelona School of Economics.
    15. Biró, Péter & Kern, Walter & Paulusma, Daniël & Wojuteczky, Péter, 2018. "The stable fixtures problem with payments," Games and Economic Behavior, Elsevier, vol. 108(C), pages 245-268.
    16. David Pérez-Castrillo & Marilda Sotomayor, 2013. "Two Folk Manipulability Theorems in the General One-to-one Two-sided Matching Markets with Money," Working Papers 681, Barcelona School of Economics.
    17. R. Pablo Arribillaga & Jordi Massó & Alejandro Neme, 2014. "On the Structure of Cooperative and Competitive Solutions for a Generalized Assignment Game," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-20, April.
    18. Francisco Robles & Marina Núñez, 2014. "One-seller assignment markets with multiunit demands," UB School of Economics Working Papers 2014/316, University of Barcelona School of Economics.
    19. Massó, Jordi & Neme, Alejandro, 2014. "On cooperative solutions of a generalized assignment game: Limit theorems to the set of competitive equilibria," Journal of Economic Theory, Elsevier, vol. 154(C), pages 187-215.
    20. Domènech, Gerard & Núñez, Marina, 2022. "Axioms for the optimal stable rules and fair-division rules in a multiple-partners job market," Games and Economic Behavior, Elsevier, vol. 136(C), pages 469-484.
    21. Sotomayor, Marilda, 2019. "Competition and cooperation in a two-sided matching market with replication," Journal of Economic Theory, Elsevier, vol. 183(C), pages 1030-1056.
    22. Raïssa-Juvette Samba & Rhonya Adli, 2015. "Application of methods used in the classical matching markets to the Indian marriage market," Working Papers halshs-01180569, HAL.
    23. Marilda Sotomayor, 2013. "Labor Time Shared In The Assignment Game Generating New Cooperative And Competitive Structures," Working Papers, Department of Economics 2013_02, University of São Paulo (FEA-USP).
    24. 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.
    25. 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.

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