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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

    as
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    JEL classification:

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

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