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The partnered core of a game with side payments

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  • Philip Reny
  • Eyal Winter
  • Myrna Wooders

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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.
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Suggested Citation

  • Philip Reny & Eyal Winter & Myrna Wooders, 2012. "The partnered core of a game with side payments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 521-536, July.
  • Handle: RePEc:spr:sochwe:v:39:y:2012:i:2:p:521-536
    DOI: 10.1007/s00355-012-0651-9
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    References listed on IDEAS

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    1. Yakar Kannai & Myrna H. Wooders, 2000. "A Further Extension of the KKMS Theorem," Mathematics of Operations Research, INFORMS, vol. 25(4), pages 539-551, November.
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    6. Philip Reny & Eyal Winter & Myrna Wooders, 2012. "The partnered core of a game with side payments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 521-536, July.
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    JEL classification:

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

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