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Correlated equilibrium as a stable standard of behavior

Author

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  • Indrajit Ray

    () (Department of Economics, University of York, Heslington, York YO1 5DD, UK)

Abstract

We study the concept of correlated equilibrium within the framework of social situations (Greenberg 1990) and find that the unique optimistic stable standard of behavior (OSSB) of an appropriately defined correlated situation is nothing but the set of correlated equilibria. We generalize this situation in a natural way to accommodate coalitional deviations, and define the strong correlated situation. As the unique OSSB of this new situation, we derive a strong refinement of the set of correlated equilibria which we call strong correlated equilibrium. We analyse our concept and compare it with other existing notions using several examples.

Suggested Citation

  • Indrajit Ray, 1998. "Correlated equilibrium as a stable standard of behavior," Review of Economic Design, Springer;Society for Economic Design, vol. 3(3), pages 257-269.
  • Handle: RePEc:spr:reecde:v:3:y:1998:i:3:p:257-269
    Note: Received: 23 May 1996 / Accepted: 6 October 1997
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    Citations

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    Cited by:

    1. Luo, Xiao, 2001. "General systems and [phiv]-stable sets -- a formal analysis of socioeconomic environments," Journal of Mathematical Economics, Elsevier, vol. 36(2), pages 95-109, November.
    2. Bloch, Francis & Dutta, Bhaskar, 2009. "Correlated equilibria, incomplete information and coalitional deviations," Games and Economic Behavior, Elsevier, vol. 66(2), pages 721-728, July.
    3. Heller, Yuval, 2010. "All-stage strong correlated equilibrium," Games and Economic Behavior, Elsevier, vol. 69(1), pages 184-188, May.
    4. Sheng-Chieh Huang & Xiao Luo, 2008. "Stability, sequential rationality, and subgame consistency," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(2), pages 309-329, February.
    5. Nicholas Ziros, 2011. "Negotiation-proof correlated equilibrium," University of Cyprus Working Papers in Economics 14-2011, University of Cyprus Department of Economics.
    6. Heller, Yuval, 2010. "Minority-proof cheap-talk protocol," Games and Economic Behavior, Elsevier, vol. 69(2), pages 394-400, July.
    7. Heller, Yuval, 2008. "Ex-ante and ex-post strong correlated equilbrium," MPRA Paper 7717, University Library of Munich, Germany, revised 11 Mar 2008.
    8. Xiao Luo, 2009. "On the foundation of stability," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(2), pages 185-201, August.
    9. Jobst Heitzig & Forest Simmons, 2012. "Some chance for consensus: voting methods for which consensus is an equilibrium," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 43-57, January.

    More about this item

    JEL classification:

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

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