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The equity core and the core

Author

Listed:
  • Cori Vilella

    (Universitat Rovira i Virgili)

Abstract

In this paper we study the equity core (Selten, 1978) and compare it with the core. A payoff 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 payoff 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.

Suggested Citation

  • Cori Vilella, 2014. "The equity core and the core," Economics Bulletin, AccessEcon, vol. 34(1), pages 313-323.
    • Handle: RePEc:ebl:ecbull:eb-13-00758
    as

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    File URL: http://www.accessecon.com/Pubs/EB/2014/Volume34/EB-14-V34-I1-P31.pdf
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    References listed on IDEAS

    as
    1. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
    2. Dutta, Bhaskar & Ray, Debraj, 1991. "Constrained egalitarian allocations," Games and Economic Behavior, Elsevier, vol. 3(4), pages 403-422, November.
    3. Anindya Bhattacharya, 2004. "On the equal division core," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(2), pages 391-399, April.
    4. Izquierdo, Josep M. & Rafels, Carles, 2001. "Average Monotonic Cooperative Games," Games and Economic Behavior, Elsevier, vol. 36(2), pages 174-192, August.
    5. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October.
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    More about this item

    Keywords

    Cooperative game; equity core; equal division core; core.;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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