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Ex-ante and ex-post strong correlated equilbrium

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  • Heller, Yuval

Abstract

A strong correlated equilibrium is a strategy profile that is immune to joint deviations. Different notions of strong correlated equilibria were 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 paper we prove that if deviating coalitions are allowed to use new correlating devices, then an ex-ante strong correlated equilibrium is also immune to deviations at the ex-post stage. Thus the set of ex-ante strong correlated equilibria of Moreno & Wooders (1996) is included in all other sets of strong correlated equilibria.

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Bibliographic Info

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

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Date of creation: 11 Mar 2008
Date of revision: 11 Mar 2008
Handle: RePEc:pra:mprapa:7717

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

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References

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  1. Joseph Farrell and Garth Saloner., 1987. "Coordination Through Committees and Markets," Economics Working Papers 8740, University of California at Berkeley.
  2. Moreno, Diego & Wooders, John, 1996. "Coalition-Proof Equilibrium," Games and Economic Behavior, Elsevier, vol. 17(1), pages 80-112, November.
  3. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer, vol. 11(3), pages 603-627.
  4. 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.
  5. Licun Xue, 2000. "Negotiation-proof Nash equilibrium," International Journal of Game Theory, Springer, vol. 29(3), pages 339-357.
  6. 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.
  7. Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, The Center for the Study of Rationality, Hebrew University, Jerusalem, revised Nov 2002.
  8. 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.
  9. Delgado, Juan & Moreno, Diego, 2004. "Coalition-proof supply function equilibria in oligopoly," Journal of Economic Theory, Elsevier, vol. 114(2), pages 231-254, February.
  10. Robert J. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Working Paper Archive 661465000000000377, David K. Levine.
  11. Indrajit Ray, 1998. "Correlated equilibrium as a stable standard of behavior," Review of Economic Design, Springer, vol. 3(3), pages 257-269.
  12. Le Breton, M. & Konishi, H. & Weber, S., 1995. "Equivalence of Strong and Coalition-Proof Nash Equilibria in Games without Spillovers," G.R.E.Q.A.M. 95a39, Universite Aix-Marseille III.
  13. 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.
  14. 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.
  15. Sylvie Thoron, 1998. "Formation of a Coalition-Proof Stable Cartel," Canadian Journal of Economics, Canadian Economics Association, vol. 31(1), pages 63-76, February.
  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.
  17. RAY , Indrajit, 1993. "Coalition-Proof Correlated Equilibrium : A Definition," CORE Discussion Papers 1993053, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  18. 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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