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Perfect communication equilibria in repeated games with imperfect monitoring

  • Tomala, Tristan
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    This paper introduces an equilibrium concept called perfect communication equilibrium for repeated games with imperfect private monitoring. This concept is a refinement of Myerson's [Myerson, R.B., 1982. Optimal coordination mechanisms in generalized principal agent problems, J. Math. Econ. 10, 67-81] communication equilibrium. A communication equilibrium is perfect if it induces a communication equilibrium of the continuation game, after every history of messages of the mediator. We provide a characterization of the set of corresponding equilibrium payoffs and derive a Folk Theorem for discounted repeated games with imperfect private monitoring.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0899-8256(09)00032-3
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    Article provided by Elsevier in its journal Games and Economic Behavior.

    Volume (Year): 67 (2009)
    Issue (Month): 2 (November)
    Pages: 682-694

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    Handle: RePEc:eee:gamebe:v:67:y:2009:i:2:p:682-694
    Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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    1. Massimiliano Amarante, 2003. "Recursive structure and equilibria in games with private monitoring," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(2), pages 353-374, 09.
    2. Fudenberg, D. & Levine, D.K., 1991. "Efficiency and Obsevability with Long-Run and Short-Run Players," Working papers 591, Massachusetts Institute of Technology (MIT), Department of Economics.
    3. Itzhak Gilboa & Eitan Zemel, 1989. "Nash and Correlated Equilibria: Some Complexity Considerations," Post-Print hal-00753241, HAL.
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    6. Takahashi, Satoru & Levine, David & Fudenberg, Drew, 2007. "Perfect Public Equilibrium When Players Are Patient," Scholarly Articles 3196336, Harvard University Department of Economics.
    7. Mailath George J. & Matthews Steven A. & Sekiguchi Tadashi, 2002. "Private Strategies in Finitely Repeated Games with Imperfect Public Monitoring," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 2(1), pages 1-23, June.
    8. Jeffrey Ely, 2000. "A Robust Folk Theorem for the Prisoners' Dilemma," Econometric Society World Congress 2000 Contributed Papers 0210, Econometric Society.
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    10. Jeffrey C. Ely & Johannes Hörner & Wojciech Olszewski, 2005. "Belief-Free Equilibria in Repeated Games," Econometrica, Econometric Society, vol. 73(2), pages 377-415, 03.
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    12. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-94, July.
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    14. Ben-Porath, Elchanan & Kahneman, Michael, 2003. "Communication in repeated games with costly monitoring," Games and Economic Behavior, Elsevier, vol. 44(2), pages 227-250, August.
    15. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-63, September.
    16. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796, December.
    17. Roy Radner, 1986. "Repeated Partnership Games with Imperfect Monitoring and No Discounting," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 43-57.
    18. Renault, J. & Tomala, T., 1997. "Repeated Proximity Games," Papiers d'Economie Mathématique et Applications 97.14, Université Panthéon-Sorbonne (Paris 1).
    19. Green, Edward J. & Porter, Robert H., 1982. "Noncooperative Collusion Under Imperfect Price Information," Working Papers 367, California Institute of Technology, Division of the Humanities and Social Sciences.
    20. Olivier Compte, 1998. "Communication in Repeated Games with Imperfect Private Monitoring," Econometrica, Econometric Society, vol. 66(3), pages 597-626, May.
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    23. repec:dau:papers:123456789/6103 is not listed on IDEAS
    24. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
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