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Belief-free equilibria in games with incomplete information

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Author Info
Stefano, LOVO ()
Abstract

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 Groupe HEC 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

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Postal: HEC Business School, 78351 Jouy-en-Josas cedex, France
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Related research
Keywords: repeated game with incomplete information Harsanyi doctrine belief-free equilibria

Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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  1. Martin W. Cripps & Jonathan Thomas, 2004. "Some Asymptotic Results in Discounted Repeated Games of One-Sided Incomplete Information," ESE Discussion Papers 76, Edinburgh School of Economics, University of Edinburgh. [Downloadable!]
    Other versions:
  2. Ely, Jeffrey C. & Valimaki, Juuso, 2002. "A Robust Folk Theorem for the Prisoner's Dilemma," Journal of Economic Theory, Elsevier, vol. 102(1), pages 84-105, January. [Downloadable!] (restricted)
    Other versions:
  3. 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. [Downloadable!] (restricted)
    Other versions:
  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. [Downloadable!] (restricted)
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  5. Ehud Kalai, 2004. "Large Robust Games," Econometrica, Econometric Society, vol. 72(6), pages 1631-1665, November. [Downloadable!] (restricted)
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  6. 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. [Downloadable!] (restricted)
  7. 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. [Downloadable!]
  8. Jeffrey C. Ely & Juuso Välimäki, 2003. "Bad Reputation," The Quarterly Journal of Economics, MIT Press, vol. 118(3), pages 785-814, August. [Downloadable!] (restricted)
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  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. [Downloadable!] (restricted)
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