Coalition Formation and Potential Games
In this paper we study the formation of coalition structures in situations described by a cooperative game. Players choose independently which coalition they want to join. The payoffs to the players are determined by an allocation rule on the underlying game and the coalition structure that results from the strategies of the players according to some formation rule. We study two well-known coalition structure formation rules. We show that for both formation rules there exists a unique component efficient allocation rule that results in a potential game and study the coalition structures resulting from potential maximizing strategy profiles.
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- Meca-Martinez, A. & Sánchez-Soriano, J. & Garcia-Jurado, I. & Tijs, S.H., 1998. "Strong equilibria in claim games corresponding to convex games," Other publications TiSEM 5dcbfae1-fc1c-4d6b-b032-c, Tilburg University, School of Economics and Management.
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"Potential Maximizers and Network Formation,"
758, Tilburg University, School of Economics and Management.
- (*), J. Sánchez-Soriano & Stef Tijs & Ana Meca-Martínez & I. García-Jurando, 1998. "Strong equilibria in claim games corresponding to convex games," International Journal of Game Theory, Springer, vol. 27(2), pages 211-217.
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- Ui, Takashi, 2000. "A Shapley Value Representation of Potential Games," Games and Economic Behavior, Elsevier, vol. 31(1), pages 121-135, April.
- Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
- Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
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