The Stationary Equilibrium of Three-Person Cooperative Games: A Classification
We present a classification of all stationary subgame perfect equilibria of the random proposer model for a three-person cooperative game according to the level of efficiency. The efficiency level is characterized by the number of "central" players who join all equilibrium coalitions. The existence of a central player guarantees asymptotic efficiency. The marginal contributions of players to the grand coalition play a critical role in their expected equilibrium payoffs.
|Date of creation:||Oct 2012|
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- Seidmann, Daniel J & Winter, Eyal, 1998. "A Theory of Gradual Coalition Formation," Review of Economic Studies, Wiley Blackwell, vol. 65(4), pages 793-815, October.
- Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954.
- Montero, Maria, 2002.
"Non-cooperative bargaining in apex games and the kernel,"
Games and Economic Behavior,
Elsevier, vol. 41(2), pages 309-321, November.
- Montero, M.P., 1999. "Noncooperative Bargaining in Apex Games and the Kernel," Discussion Paper 1999-61, Tilburg University, Center for Economic Research.
- Olivier Compte & Philippe Jehiel, 2010.
"The Coalitional Nash Bargaining Solution,"
Econometric Society, vol. 78(5), pages 1593-1623, 09.
- Okada, Akira, 2010. "The Nash bargaining solution in general n-person cooperative games," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2356-2379, November.
- Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
- John F. Nash, 2008. "The Agencies Method For Modeling Coalitions And Cooperation In Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(04), pages 539-564.
- Montero, Maria, 2006. "Noncooperative foundations of the nucleolus in majority games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 380-397, February.
- Okada, Akira, 2007.
"Coalitional Bargaining Games with Random Proposers: Theory and Application,"
2007-10, Graduate School of Economics, Hitotsubashi University.
- Okada, Akira, 2011. "Coalitional bargaining games with random proposers: Theory and application," Games and Economic Behavior, Elsevier, vol. 73(1), pages 227-235, September.
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