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The Cooperative Endorsement of a Strategic Game


  • Hernández, Penélope

    () (ERI-CES. Departamento de Análisis Económico. Facultad de Economía.)

  • Silva-Reus, José A.

    () (Instituto Interuniversitario de Desarrollo Social y Paz)


This note provides a way to translate an n-person strategic game to a characteristic cooperative game assuming that the set of players of the cooperative game is the set of pure actions of the strategic game. The Core is characterized through coalitions generated with only one action for each player and the total coalition. We obtain the worth of the total coalition to guarantee the non-emptyness condition. In particular, for a two-player game, this value is equal to the maximal sum of the diagonals.

Suggested Citation

  • Hernández, Penélope & Silva-Reus, José A., 2012. "The Cooperative Endorsement of a Strategic Game," QM&ET Working Papers 12-9, University of Alicante, D. Quantitative Methods and Economic Theory.
  • Handle: RePEc:ris:qmetal:2012_009

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    References listed on IDEAS

    1. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    2. Matthew O. Jackson & Simon Wilkie, 2005. "Endogenous Games and Mechanisms: Side Payments Among Players," Review of Economic Studies, Oxford University Press, vol. 72(2), pages 543-566.
    3. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    4. Ken Binmore, 1994. "Game Theory and the Social Contract, Volume 1: Playing Fair," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262023636, July.
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    More about this item


    Cooperative games; Core;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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