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A generalization of correlated equilibrium: A new protocol

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  • Forgó, Ferenc

Abstract

A new correlation scheme (leading to a special equilibrium called "soft" correlated equilibrium) is introduced for finite games. After randomization over the outcome space, players have the choice either to follow the recommendation of an umpire blindly or freely choose some other action except the one suggested. This scheme can lead to Pareto-better outcomes than the simple extension introduced by [Moulin, H., Vial, J.-P., 1978. Strategically zero-sum games: the class of games whose completely mixed equilibria cannot be improved upon. International Journal of Game Theory 7, 201-221]. The informational and interpretational aspects of soft correlated equilibria are also discussed in detail. The power of the generalization is illustrated in the prisoners's dilemma and a congestion game.

Suggested Citation

  • Forgó, Ferenc, 2010. "A generalization of correlated equilibrium: A new protocol," Mathematical Social Sciences, Elsevier, vol. 60(3), pages 186-190, November.
  • Handle: RePEc:eee:matsoc:v:60:y:2010:i:3:p:186-190
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    References listed on IDEAS

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    1. Timothy Cason & Tridib Sharma, 2007. "Recommended play and correlated equilibria: an experimental study," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(1), pages 11-27, October.
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    5. Forgo, Ferenc & Fulop, Janos & Prill, Maria, 2005. "Game theoretic models for climate change negotiations," European Journal of Operational Research, Elsevier, vol. 160(1), pages 252-267, January.
    6. FORGES , Françoise, 1993. "Five Legitimate Definitions of Correlated Equilibrium in Games with Incomplete Information," CORE Discussion Papers 1993009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-1385, November.
    8. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-358, March.
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