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All-stage strong correlated equilibrium

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Author Info
Heller, Yuval

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Abstract

A strong correlated equilibrium is a correlated strategy profile that is immune to joint deviations. Different notions of strong correlated equilibria have been defined in the literature. One major difference among those definitions is the stage in which coalitions can plan a joint deviation: before (ex-ante) or after (ex-post) the deviating players receive their part of the correlated profile. In this note we show that an ex-ante strong correlated equilibrium (Moreno D., Wooders J., 1996. Games Econ. Behav. 17, 80-113) is immune to deviations at all stages of any pre-play signalling process that implements it. Thus the set of ex-ante strong correlated equilibria is included in all other sets of strong correlated equilibria.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 7717.

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Date of creation: 01 Jun 2008
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Handle: RePEc:pra:mprapa:7717

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Related research
Keywords: correlated equilibrium; strong equilbrium; coaliton-proof equilbrium; ex-ante; ex-post; common knowledge;

Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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  1. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January. [Downloadable!] (restricted)
  2. Indrajit Ray, 1998. "Correlated equilibrium as a stable standard of behavior," Review of Economic Design, Springer, vol. 3(3), pages 257-269. [Downloadable!] (restricted)
  3. Michel Le Breton & Hideo Konishi & Shlomo Weber, 1996. "Equivalence of strong and coalition-proof Nash equilibria in games without spillovers (*)," Economic Theory, Springer, vol. 9(1), pages 97-113.
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  4. Robert J. Aumann & Sergiu Hart, 2003. "Long Cheap Talk," Econometrica, Econometric Society, vol. 71(6), pages 1619-1660, November. [Downloadable!] (restricted)
    Other versions:
    • Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, Center for Rationality and Interactive Decision Theory, Hebrew University, Jerusalem, revised Nov 2002. [Downloadable!]
  5. Bloch, Francis & Dutta, Bhaskar, 2006. "Correlated Equilibria, Incomplete Information and Coalitional Deviations," The Warwick Economics Research Paper Series (TWERPS) 763, University of Warwick, Department of Economics. [Downloadable!]
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  6. Sylvie Thoron, 1998. "Formation of a Coalition-Proof Stable Cartel," Canadian Journal of Economics, Canadian Economics Association, vol. 31(1), pages 63-76, February.
  7. 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. [Downloadable!] (restricted)
  8. Licun Xue, 2000. "Negotiation-proof Nash equilibrium," International Journal of Game Theory, Springer, vol. 29(3), pages 339-357. [Downloadable!] (restricted)
  9. Ray, Indrajit, 1996. "Coalition-Proof Correlated Equilibrium: A Definition," Games and Economic Behavior, Elsevier, vol. 17(1), pages 56-79, November. [Downloadable!] (restricted)
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  10. 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. [Downloadable!] (restricted)
  11. Joseph Farrell & Garth Saloner, 1988. "Coordination through Committees and Markets," RAND Journal of Economics, The RAND Corporation, vol. 19(2), pages 235-252, Summer.
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  12. Moreno, Diego & Wooders, John, 1996. "Coalition-Proof Equilibrium," Games and Economic Behavior, Elsevier, vol. 17(1), pages 80-112, November. [Downloadable!] (restricted)
  13. Delgado, Juan & Moreno, Diego, 2004. "Coalition-proof supply function equilibria in oligopoly," Journal of Economic Theory, Elsevier, vol. 114(2), pages 231-254, February. [Downloadable!] (restricted)
  14. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer, vol. 11(3), pages 603-627. [Downloadable!] (restricted)
  15. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Equilibria in a Model with Partial Rivalry," Journal of Economic Theory, Elsevier, vol. 72(1), pages 225-237, January. [Downloadable!] (restricted)
  16. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1999. "On Coalition-Proof Nash Equilibria in Common Agency Games," Journal of Economic Theory, Elsevier, vol. 85(1), pages 122-139, March. [Downloadable!] (restricted)
  17. Moreno, Diego & Wooders, John, 1998. "An Experimental Study of Communication and Coordination in Noncooperative Games," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 47-76, July. [Downloadable!] (restricted)
  18. Yi, Sang-Seung, 1999. "On the Coalition-Proofness of the Pareto Frontier of the Set of Nash Equilibria," Games and Economic Behavior, Elsevier, vol. 26(2), pages 353-364, January. [Downloadable!] (restricted)
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