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The Cooperative Endorsement of a Strategic Game

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  • Hernández, Penélope

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

  • Silva-Reus, José A.

    ()
    (Instituto Interuniversitario de Desarrollo Social y Paz)

Abstract

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.

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Bibliographic Info

Paper provided by Universidad de Alicante, Departamento de Métodos Cuantitativos y Teoría Económica in its series QM&ET Working Papers with number 12-9.

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Length: 11 pages
Date of creation: 24 Apr 2012
Date of revision:
Handle: RePEc:ris:qmetal:2012_009

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Keywords: Cooperative games; Core;

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  1. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
  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. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
  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, December.
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