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The Partnered Core of a Game with Side Payments

Author

Listed:
  • Philip J. Reny

    (Department of Economics, University of Chicago)

  • Eyal Winter

    (Center for the Study of Rationality, Hebrew University)

  • Myrna Wooders

    (Department of Economics, Vanderbilt University)

Abstract

An outcome of a game is partnered if there are no asymmetric dependencies between any two players. For a cooperative game, a payoff is in the partnered core of the game if it is partnered, feasible and cannot be improved upon by any coalition of players. We show that the relative interior of the core of a game with side payments is contained in the partnered core. For quasi-strictly convex games the partnered core coincides with the relative interior of the core. When there are no more than three partnerships, the sums of the payoffs to partnerships are constant across all core payoffs. When there are no more than three players, the partnered core satisfies additional properties.

Suggested Citation

  • Philip J. Reny & Eyal Winter & Myrna Wooders, 2009. "The Partnered Core of a Game with Side Payments," Vanderbilt University Department of Economics Working Papers 0917, Vanderbilt University Department of Economics.
    • Handle: RePEc:van:wpaper:0917
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    References listed on IDEAS

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    1. Kannai, Yakar & Wooders, Myrna H., 1999. "A Further Extension of the KKMS Theorem," Economic Research Papers 269259, University of Warwick - Department of Economics.
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    Cited by:

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    3. Debraj Ray & Rajiv Vohra, 2015. "The Farsighted Stable Set," Econometrica, Econometric Society, vol. 83(3), pages 977-1011, May.
    4. Maria Montero & Alex Possajennikov, 2024. "“Greedy” demand adjustment in cooperative games," Annals of Operations Research, Springer, vol. 336(3), pages 1461-1478, May.
    5. Luis Sanchez-Mier, 2005. "A Theory of Political Influence and Economic Organization," Department of Economics and Finance Working Papers EC200504, Universidad de Guanajuato, Department of Economics and Finance.

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    More about this item

    Keywords

    Partnership; core; cooperative game; convex game; separating collections of sets; minimal partnership; coalition structure games; partitioning games; kernel;
    All these keywords.

    JEL classification:

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

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