论文信息 - Link formation in cooperative situations

Link formation in cooperative situations

Abstract. In this paper we study the endogenous formation of cooperation structures or communication graphs between players in a superadditive TU game. For each cooperation structure that is formed, the payoffs to the players are determined by an exogenously given solution. We model the process of cooperation structure formation as a game in strategic form. It is shown that several equilibrium refinements predict the formation of the complete cooperation structure or some structure which is payoff-equivalent to the complete structure. These results are obtained for a large class of solutions for cooperative games with cooperation structures.

[1] R. Rosenthal. A class of games possessing pure-strategy Nash equilibria , 1973 .

[2] M. Jackson,et al. A Strategic Model of Social and Economic Networks , 1996 .

[3] M. Whinston,et al. Coalition-Proof Nash Equilibria I. Concepts , 1987 .

[4] Catharina Gerardina Anna Maria van den Nouweland,et al. Games and graphs in economic situations , 1993 .

[5] Roger B. Myerson,et al. Game theory - Analysis of Conflict , 1991 .

[6] Stef Tijs,et al. Potential maximizers and network formation , 2000, Math. Soc. Sci..

[7] V. Crawford. An “evolutionary” interpretation of Van Huyck, Battalio, and Beil's experimental results on coordination , 1991 .

[8] S. Hart,et al. On the endogenous formation of coalitions , 1983 .

[9] Roger B. Myerson,et al. Graphs and Cooperation in Games , 1977, Math. Oper. Res..

[10] A. Rubinstein. Perfect Equilibrium in a Bargaining Model , 1982 .

[11] L. Shapley,et al. REGULAR ARTICLEPotential Games , 1996 .

[12] Cheng-Zhong Qin,et al. Endogenous Formation of Cooperation Structures , 1996 .

[13] The Shapley value: Weighted Shapley values , 1988 .

[14] J. Huyck,et al. Tacit Coordination Games, Strategic Uncertainty, and Coordination Failure , 1990 .

[15] Debraj Ray,et al. A Concept of Egalitarianism under Participation Constraints , 1989 .

[16] R. Aumann,et al. The Shapley value: Endogenous formation of links between players and of coalitions: an application of the Shapley value , 1988 .