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All-stage strong correlated equilibrium

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  • Heller, Yuval

Abstract

A strong correlated equilibrium is a correlated strategy profile that is immune to joint deviations. Existing solution concepts assume that players receive simultaneously correlated recommendations from the mediator. An ex-ante strong correlated equilibrium (Moreno and Wooders, 1996) is immune to deviations that are planned before receiving the recommendations. In this note we focus on mediation protocols where players may get their recommendations at several stages, and show that an ex-ante strong correlated equilibrium is immune to deviations at all stages of the protocol.

Suggested Citation

  • Heller, Yuval, 2010. "All-stage strong correlated equilibrium," Games and Economic Behavior, Elsevier, vol. 69(1), pages 184-188, May.
  • Handle: RePEc:eee:gamebe:v:69:y:2010:i:1:p:184-188
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    References listed on IDEAS

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    1. 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.
    2. Ray, Indrajit, 1996. "Coalition-Proof Correlated Equilibrium: A Definition," Games and Economic Behavior, Elsevier, vol. 17(1), pages 56-79, November.
    3. Milgrom, Paul & Roberts, John, 1996. "Coalition-Proofness and Correlation with Arbitrary Communication Possibilities," Games and Economic Behavior, Elsevier, vol. 17(1), pages 113-128, November.
    4. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
    5. Moreno, Diego & Wooders, John, 1996. "Coalition-Proof Equilibrium," Games and Economic Behavior, Elsevier, vol. 17(1), pages 80-112, November.
    6. Heller, Yuval, 2010. "Minority-proof cheap-talk protocol," Games and Economic Behavior, Elsevier, vol. 69(2), pages 394-400, July.
    7. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    8. Bloch, Francis & Dutta, Bhaskar, 2009. "Correlated equilibria, incomplete information and coalitional deviations," Games and Economic Behavior, Elsevier, vol. 66(2), pages 721-728, July.
    9. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
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    Cited by:

    1. Nicholas Ziros, 2011. "Negotiation-proof correlated equilibrium," University of Cyprus Working Papers in Economics 14-2011, University of Cyprus Department of Economics.

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