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A Simple Exposition of Belief-Free Equilibria in Repeated Games

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Author Info
Wojciech Olszewski () (Northwestern University)

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Abstract

Recently, there has been made a substantial progress in the analysis of repeated games with private monitoring. This progress began with introducing a new class of sequential equilibrium strategies, called belief-free equilibria, that can be analyzed using recursive techniques. The purpose of this paper is to explain the general method of constructing belief-free equilibria, and the limit (or bound) on the set of payoff vectors that can be achieved in these strategies in a way that should be easily accessible, even for those who do not pretend to be experts in repeated games.

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File URL: http://economicsbulletin.vanderbilt.edu/2007/volume3/EB-07C70038A.pdf
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Publisher Info
Article provided by Economics Bulletin in its journal Economics Bulletin.

Volume (Year): 3 (2007)
Issue (Month): 58 ()
Pages: 1-16
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:ebl:ecbull:v:3:y:2007:i:58:p:1-16

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C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

References listed on IDEAS
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  1. Kandori, Michihiro, 2002. "Introduction to Repeated Games with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 1-15, January. [Downloadable!] (restricted)
  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. V Bhaskar & George J. Mailath & Stephen Morris, 2006. "Purification in the Infinitely Repeated Prisoner's Dilemma," Levine's Bibliography 321307000000000170, UCLA Department of Economics. [Downloadable!]
    Other versions:
  4. Johannes Hörner & Wojciech Olszewski, 2006. "The Folk Theorem for Games with Private Almost-Perfect Monitoring," Econometrica, Econometric Society, vol. 74(6), pages 1499-1544, November. [Downloadable!] (restricted)
    Other versions:
  5. 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)
    Other versions:
  6. Drew Fudenberg & David K. Levine & Eric Maskin, 1994. "The Folk Theorem with Imperfect Public Information," Levine's Working Paper Archive 394, David K. Levine. [Downloadable!]
    Other versions:
  7. Michihiro Kandori & Ichiro Obara, 2003. "Efficiency in Repeated Games Revisited: The Role of Private Strategies," CIRJE F-Series CIRJE-F-255, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
    Other versions:
  8. Hitoshi Matsushima, 2004. "Repeated Games with Private Monitoring: Two Players," Econometrica, Econometric Society, vol. 72(3), pages 823-852, 05. [Downloadable!] (restricted)
    Other versions:
  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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