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The cooperative endorsement of a strategic game

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Author Info

  • Penelope Hernandez

    ()
    (ERI-CES)

  • Jose A. Silva-Reus

    ()
    (Universitat de Alicante and IUDSP)

Abstract

This note provides a way to translate a 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. Coalitions generated with only one action for each player and the total coalition characterize the Core. We calculate 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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File URL: http://www.uv.es/erices/RePEc/WP/2010/0610.pdf
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Bibliographic Info

Paper provided by University of Valencia, ERI-CES in its series Discussion Papers in Economic Behaviour with number 0610.

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Date of creation: Jun 2010
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Handle: RePEc:dbe:wpaper:0610

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Keywords: Cooperative games; core;

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  1. Matthew Rabin., 1992. "Incorporating Fairness into Game Theory and Economics," Economics Working Papers 92-199, University of California at Berkeley.
  2. 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, January.
  3. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
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