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The equity core and the core

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  • Vilella Bach, Misericòrdia

Abstract

In this paper we study the equity core (Selten, 1978) and compare it with the core. A payo vector is in the equity core if no coalition can divide its value among its members proportionally to a given weight system and, in this way, give more to each member than the amount he or she receives in the payo vector. We show that the equity core is a compact extension of the core and that, for non-negative games, the intersection of all equity cores with respect to all weights coincides with the core of the game. Keywords: Cooperative game, equity core, equal division core, core. JEL classi cation: C71

Suggested Citation

  • Vilella Bach, Misericòrdia, 2013. "The equity core and the core," Working Papers 2072/220760, Universitat Rovira i Virgili, Department of Economics.
    • Handle: RePEc:urv:wpaper:2072/220760
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    References listed on IDEAS

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    JEL classification:

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

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