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Belief-free Equilibria in games with incomplete information

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Author Info
LOVO, Stefano ()
HÖRNER, Johanes ()
Abstract

In this paper, the authors define belief-free equilibria in two-player games with incomplete information as sequential equilibria for which players’ continuation strategies are best-replies, after every history, independently of their beliefs about the state of nature. They characterize a set of payoffs that includes all belief-free equilibrium payoffs. Conversely, any payoff in the interior of this set is a belief-free equilibrium payoff.

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Paper provided by Groupe HEC in its series Les Cahiers de Recherche with number 845.

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Length: 31 pages
Date of creation: 01 May 2006
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Handle: RePEc:ebg:heccah:0845

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Keywords: game theory equilibria information

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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!]
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  2. 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)
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  3. 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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  4. Ehud Kalai, 2004. "Large Robust Games," Econometrica, Econometric Society, vol. 72(6), pages 1631-1665, November. [Downloadable!] (restricted)
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  5. 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)
  6. 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. [Downloadable!] (restricted)
    Other versions:
    • Aumann, Robert J. & Heifetz, Aviad, 2001. "Incomplete Information," Working Papers 1124, California Institute of Technology, Division of the Humanities and Social Sciences. [Downloadable!]
  7. Forges, F., 1988. "Repeated Games Of Incomplete Information: Non-Zero-Sum," Papers 8805, Catholique de Louvain - Center for Operations Research and Economics.
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