A Generalized Assignment Game
AbstractThe proposed game is a natural extension of the Shapley and Shubik Assignment Game to the case where each seller owns a set of different objets instead of only one indivisible object. We propose definitions of pairwise stability and group stability that are adapted to our framework. Existence of both pairwise and group stable outcomes is proved. We study the structure of the group stable set and we finally prove that the set of group stable payoffs forms a complete lattice with one optimal group stable payoff for each side of the market.
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Bibliographic InfoPaper provided by Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC) in its series UFAE and IAE Working Papers with number 514.02.
Date of creation: 14 Jun 2002
Date of revision:
matching; assignment; stability; lattice structure;
Other versions of this item:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
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- Echenique, Federico & Oviedo, Jorge, 2003.
"A Theory of Stability in Many-to-Many Matching Markets,"
1185, California Institute of Technology, Division of the Humanities and Social Sciences.
- Echenique, Federico & Oviedo, Jorge, 2006. "A theory of stability in many-to-many matching markets," Theoretical Economics, Econometric Society, vol. 1(2), pages 233-273, June.
- Jorge Oviedo & Federico Echenique, 2005. "A Theory of Stability in Many-to-Many Matching Markets," 2005 Meeting Papers 233, Society for Economic Dynamics.
- Federico Echenique & Jorge Oviedo, 2004. "A Theory of Stability in Many-to-many Matching Markets," Game Theory and Information 0401002, EconWPA.
- Federico Echenique & Jorge Oviedo, 2003. "A Theory of Stability in Many-to-many Matching Markets," Levine's Working Paper Archive 666156000000000374, David K. Levine.
- Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-72, August.
- Marilda Sotomayor, 1999. "The lattice structure of the set of stable outcomes of the multiple partners assignment game," International Journal of Game Theory, Springer, vol. 28(4), pages 567-583.
- David Perez-Castrillo & Marilda Sotomayor, 2000.
"A Simple Selling and Buying Procedure,"
Econometric Society World Congress 2000 Contributed Papers
0704, Econometric Society.
- Alcalde, Jose & Perez-Castrillo, David & Romero-Medina, Antonio, 1998.
"Hiring Procedures to Implement Stable Allocations,"
Journal of Economic Theory,
Elsevier, vol. 82(2), pages 469-480, October.
- José Alcalde Pérez & Antonio Romero-Medina & David Pérez-Castrillo, 1997. "Hiring procedures to implement stable allocations," Working Papers. Serie AD 1997-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Alcalde, J. & Pérez-Castrillo, D. J. & Romero-Medina, Antonio, . "Hiring Procedures to Implement Stable Allocations," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/5626, Universidad Carlos III de Madrid.
- Alcalde, J. & Pérez-Castrillo, D. J. & Romero-Medina, Antonio, 1998. "Hiring Procedures to Implement Stable Allocations," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/5584, Universidad Carlos III de Madrid.
- Roth, Alvin E., 1985. "The college admissions problem is not equivalent to the marriage problem," Journal of Economic Theory, Elsevier, vol. 36(2), pages 277-288, August.
- Kamecke, U, 1989. "Non-cooperative Matching Games," International Journal of Game Theory, Springer, vol. 18(4), pages 423-31.
- Sotomayor, Marilda, 1999. "Three remarks on the many-to-many stable matching problem," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 55-70, July.
- 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).
- Ester Camiña Centeno, 2010. "Some results on stability concepts for matching models," Documentos del Instituto Complutense de AnÃ¡lisis EconÃ³mico 1004, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales.
- Funaki, Y. & Houba, H.E.D. & Motchenkova, E., 2012. "Market Power in Bilateral Oligopoly Markets with Nonexpendable Infrastructure," Discussion Paper 2012-041, Tilburg University, Tilburg Law and Economic Center.
- Yukihiko Funaki & Harold Houba & Evgenia Motchenkova, 2012. "Market Power in Bilateral Oligopoly Markets with Nonexpandable Infrastructures," Tinbergen Institute Discussion Papers 12-139/II, Tinbergen Institute.
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