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On the Coincidence of the Mas-Colell Bargaining Set and the Core

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  • José-Manuel Giménez-Gómez
  • Cori Vilella

Abstract

In this paper we analyze the coincidence of the Mas-Colell bargaining set and the core for the class of balanced and super additive cooperative games. We prove the coincide for the three-player games. This is no longer true neither without the super additivity condition nor 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.

Suggested Citation

  • José-Manuel Giménez-Gómez & Cori Vilella, 2015. "On the Coincidence of the Mas-Colell Bargaining Set and the Core," Journal of Social Economics, Research Academy of Social Sciences, vol. 2(3), pages 117-121.
    • Handle: RePEc:rss:jnljse:v2i3p4
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    References listed on IDEAS

    as
    1. Vohra, Rajiv, 1991. "An existence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 20(1), pages 19-34.
    2. Mas-Colell, Andreu, 1989. "An equivalence theorem for a bargaining set," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 129-139, April.
    3. Ron Holzman, 2001. "The comparability of the classical and the Mas-Colell bargaining sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(4), pages 543-553.
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