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On the coincidence of the Mas-Colell bargaining set and the core

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  • Giménez-Gómez, José Manuel
  • Vilella Bach, Misericòrdia

Abstract

In this paper we prove that the Mas-Colell bargaining set coincides with the core for three-player balanced and superadditive cooperative games. This is no longer true without the superadditivity condition or for games with more than three-players. Furthermore, under the same assumptions, the coincidence between the Mas-Collel and the individual rational bargaining set (Vohra (1991)) is revealed. Keywords: Cooperative game, Mas-Colell bargaining set, balancedness, individual rational bargaining set. JEL classi fication: C71, D63, D71.

Suggested Citation

  • Giménez-Gómez, José Manuel & Vilella Bach, Misericòrdia, 2013. "On the coincidence of the Mas-Colell bargaining set and the core," Working Papers 2072/220221, Universitat Rovira i Virgili, Department of Economics.
    • Handle: RePEc:urv:wpaper:2072/220221
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    Keywords

    Jocs cooperatius; Economia del benestar; Elecció social; 33 - Economia;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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