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Belief-free equilibria in games with incomplete information: characterization and existence

  • Lovo, Stefano


  • Tomala, Tristan


  • Hörner, Johannes


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    In this paper, the authors characterize belief-free equilibria in infinitely repeated games with incomplete information with N \ge 2 players and arbitrary information structures. This characterization involves a new type of individual rational constraint linking the lowest equilibrium payoffs across players. The characterization is tight: we define a set of payoffs that contains all the belief-free equilibrium payoffs; conversely, any point in the interior of this set is a belief-free equilibrium payoff vector when players are sufficiently patient. Further, we provide necessary conditions and sufficient conditions on the information structure for this set to be non-empty, both for the case of known-own payoffs, and for arbitrary payoffs.

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    Paper provided by HEC Paris in its series Les Cahiers de Recherche with number 921.

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    Length: 79 pages
    Date of creation: 10 Oct 2009
    Date of revision:
    Handle: RePEc:ebg:heccah:0921
    Contact details of provider: Postal: HEC Paris, 78351 Jouy-en-Josas cedex, France
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    1. Israeli, Eitan, 1999. "Sowing Doubt Optimally in Two-Person Repeated Games," Games and Economic Behavior, Elsevier, vol. 28(2), pages 203-216, August.
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    6. Forges, Francoise, 1992. "Repeated games of incomplete information: Non-zero-sum," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 6, pages 155-177 Elsevier.
    7. Renault, Jérôme & Tomala, Tristan, 2004. "Communication equilibrium payoffs in repeated games with imperfect monitoring," Economics Papers from University Paris Dauphine 123456789/6103, Paris Dauphine University.
    8. D. Fudenberg & David K. Levine, 1989. "Reputation and Equilibrium Selection in Games with a Patient Player," Levine's Working Paper Archive 508, David K. Levine.
    9. Johannes Horner & Stefano Lovo & Tristan Tomala, 2009. "Belief-free Equilibria in Games with Incomplete Information: Characterization and Existence," Cowles Foundation Discussion Papers 1739, Cowles Foundation for Research in Economics, Yale University.
    10. Jeffrey C. Ely & Johannes Horner & Wojciech Olszewski, 2003. "Belief-free Equilibria in Repeated Games," Levine's Working Paper Archive 666156000000000367, David K. Levine.
    11. Forges, Francoise & Minelli, Enrico, 1997. "A Property of Nash Equilibria in Repeated Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 18(2), pages 159-175, February.
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    19. repec:cup:cbooks:9781107662636 is not listed on IDEAS
    20. Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-54, May.
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    22. Horner, Johannes & Lovo, Stefano & Tomala, Tristan, 2009. "Belief-free Equilibria in Games with Incomplete Information: Characterization and Existence," Economics Papers from University Paris Dauphine 123456789/9834, Paris Dauphine University.
    23. Piccione, Michele, 2002. "The Repeated Prisoner's Dilemma with Imperfect Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 70-83, January.
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