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The Core with Commitment

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Author Info
Zheng, Charles Zhoucheng
Abstract

The core is reformulated to incorporate the externality typical in strategic form games, where a player's payoff may depend on the profile of actions across all players. Any coalition of players may reach an agreement on who takes what action within the coalition and then try to get the agreement binding by competing for the commitment opportunities. If a coalition succeeds in committing to its action profile, the outsiders' reactions constitute a core solution among the outsiders. A decentralized noncooperative game of competing principals is designed and the set of its subgame perfect equilibria, with some refinement conditions, is equal to the reformulated core. In a problem of pollution externality that resembles Prisoners' Dilemma with n players, the Pareto optimum is the unique element in the core.

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Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 13051.

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Date of creation: 26 Mar 2009
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Handle: RePEc:isu:genres:13051

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Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
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Related research
Keywords: core; equilibrium; cooperative game theory; coalition; externality; competing principals; Coase Theorem;

Find related papers by JEL classification:
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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References listed on IDEAS
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  1. Anderson, Robert M, 1978. "An Elementary Core Equivalence Theorem," Econometrica, Econometric Society, vol. 46(6), pages 1483-87, November. [Downloadable!] (restricted)
  2. Jordan, J.S., 2006. "Pillage and property," Journal of Economic Theory, Elsevier, vol. 131(1), pages 26-44, November. [Downloadable!] (restricted)
  3. Xiong, Siyang & Zheng, Charles Zhoucheng, 2007. "Core equivalence theorem with production," Journal of Economic Theory, Elsevier, vol. 137(1), pages 246-270, November. [Downloadable!] (restricted)
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This page was last updated on 2009-12-15.


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