A generalized assignment game
The 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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- 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.
- Echenique, Federico & Oviedo, Jorge, 2006.
"A theory of stability in many-to-many matching markets,"
Econometric Society, vol. 1(2), pages 233-273, June.
- 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.
- Echenique, Federico & Oviedo, Jorge, 2003. "A Theory of Stability in Many-to-Many Matching Markets," Working Papers 1185, California Institute of Technology, Division of the Humanities and Social Sciences.
- Jorge Oviedo & Federico Echenique, 2005. "A Theory of Stability in Many-to-Many Matching Markets," 2005 Meeting Papers 233, Society for Economic Dynamics.
- 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.
- Sotomayor, Marilda, 1999. "Three remarks on the many-to-many stable matching problem," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 55-70, July.
- Gabrielle Demange & Gale David & Marilda Sotomayor, 1986.
- Perez-Castrillo, David & Sotomayor, Marilda, 2002.
"A Simple Selling and Buying Procedure,"
Journal of Economic Theory,
Elsevier, vol. 103(2), pages 461-474, April.
- Perez-Castrillo, D. & Sotomayor, M., 1998. "A Simple Selling and Buying Procedure," UFAE and IAE Working Papers 421.98, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- David Perez-Castrillo & Marilda Sotomayor, 2000. "A Simple Selling and Buying Procedure," Econometric Society World Congress 2000 Contributed Papers 0704, Econometric Society.
- Kamecke, U, 1989. "Non-cooperative Matching Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(4), pages 423-31.
- 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.
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