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A Refined Bargaining Set of an n-Person Game and Endogenous Coalition Formation

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Abstract

The two most fundamental questions in cooperative game theory are: When a game is played, what coalitions will be formed and what payoff vectors will be chosen? No previous solution concepts or theories in the literature provide satisfactory answers to both questions; answers are especially lacking for the first one. In this paper we introduce the refined bargaining set, which is the first solution concept in cooperative game theory that simultaneously provides answers to both of the fundamental questions.

Suggested Citation

  • Lin Zhou, 1991. "A Refined Bargaining Set of an n-Person Game and Endogenous Coalition Formation," Cowles Foundation Discussion Papers 974, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:974
    Note: CFP 868.
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    References listed on IDEAS

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    1. AUMANN, Robert J. & DREZE, Jacques H., 1974. "Cooperative games with coalition structures," LIDAM Reprints CORE 217, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation for Research in Economics, Yale University.
    3. Vohra, Rajiv, 1991. "An existence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 20(1), pages 19-34.
    4. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-1064, July.
    5. Volker Boehm, 1974. "The Core of an Economy with Production," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(3), pages 429-436.
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    More about this item

    Keywords

    Cooperative games; game theory; bargaining coalition;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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