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Belief-free equilibria in games with incomplete information

  • Stefano, LOVO


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    We de ne belief-free equilibria in two-player games with incomplete information as se- quential equilibria for which players' continuation strategies are best-replies, after every history, independently of their beliefs about the state of nature. We characterize a set of payo s that includes all belief-free equilibrium payo s. Conversely, any payo in the interior of this set is a belief-free equilibrium payo

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    Paper provided by HEC Paris in its series Les Cahiers de Recherche with number 884.

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    Length: 31 pages
    Date of creation: 01 Dec 2007
    Date of revision:
    Handle: RePEc:ebg:heccah:0884
    Contact details of provider: Postal: HEC Paris, 78351 Jouy-en-Josas cedex, France
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    1. Aumann, Robert J. & Heifetz, Aviad, 2002. "Incomplete information," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 43, pages 1665-1686 Elsevier.
    2. Ehud Kalai, 2004. "Large Robust Games," Econometrica, Econometric Society, vol. 72(6), pages 1631-1665, November.
    3. Jeffrey C. Ely & Juuso Valimaki, 2002. "Bad Reputation," Discussion Papers 1348, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    4. Jeffrey C. Ely & Johannes Hörner & Wojciech Olszewski, 2005. "Belief-Free Equilibria in Repeated Games," Econometrica, Econometric Society, vol. 73(2), pages 377-415, 03.
    5. Jeffrey Ely, 2000. "A Robust Folk Theorem for the Prisoners' Dilemma," Econometric Society World Congress 2000 Contributed Papers 0210, Econometric Society.
    6. Nimrod Megiddo, 1979. "On Repeated Games with Incomplete Information Played by Non-Bayesian Players," Discussion Papers 373, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    7. FORGES, Françoise, 1988. "Repeated games of incomplete information: non-zero-sum," CORE Discussion Papers 1988005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Jonathan P. Thomas & Martin Cripps, 2000. "Some Asymptotic Results in Discounted Repeated Games of One-Sided Incomplete Information," Game Theory and Information 0004003, EconWPA.
    9. Piccione, Michele, 2002. "The Repeated Prisoner's Dilemma with Imperfect Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 70-83, January.
    10. 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.
    11. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-61, March.
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