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Impermanent types and permanent reputations

Author

Listed:
  • Mehmet Ekmekci

    (Kellogg [Northwestern] - Kellogg School of Management [Northwestern University, Evanston] - Northwestern University [Evanston])

  • Olivier Gossner

    (PSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, LSE - London School of Economics and Political Science)

  • Andrea Wilson

    (Department of economics - NYU - New York University [New York] - NYU - NYU System)

Abstract

We study the impact of unobservable stochastic replacements for the long-run player in the classical reputation model with a long-run player and a series of short-run players. We provide explicit lower bounds on the Nash equilibrium payoffs of a long-run player, both ex-ante and following any positive probability history. Under general conditions on the convergence rates of the discount factor to one and of the rate of replacement to zero, both bounds converge to the Stackelberg payoff if the type space is sufficiently rich. These limiting conditions hold in particular if the game is played very frequently.

Suggested Citation

  • Mehmet Ekmekci & Olivier Gossner & Andrea Wilson, 2012. "Impermanent types and permanent reputations," PSE-Ecole d'économie de Paris (Postprint) halshs-00754608, HAL.
    • Handle: RePEc:hal:pseptp:halshs-00754608
    DOI: 10.1016/j.jet.2011.11.006
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    References listed on IDEAS

    as
    1. Cole, Harold L & Dow, James & English, William B, 1995. "Default, Settlement, and Signalling: Lending Resumption in a Reputational Model of Sovereign Debt," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(2), pages 365-385, May.
    2. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
    3. Gossner, Olivier & Tomala, Tristan, 2008. "Entropy bounds on Bayesian learning," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 24-32, January.
    4. Martin W. Cripps & George J. Mailath & Larry Samuelson, 2004. "Imperfect Monitoring and Impermanent Reputations," Econometrica, Econometric Society, vol. 72(2), pages 407-432, March.
    5. George J. Mailath & Larry Samuelson, 2001. "Who Wants a Good Reputation?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 415-441.
    6. Drew Fudenberg & David K. Levine, 2008. "Maintaining a Reputation when Strategies are Imperfectly Observed," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 8, pages 143-161, World Scientific Publishing Co. Pte. Ltd..
    7. Cripps, Martin W. & Mailath, George J. & Samuelson, Larry, 2007. "Disappearing private reputations in long-run relationships," Journal of Economic Theory, Elsevier, vol. 134(1), pages 287-316, May.
    8. Kalai, Ehud & Lehrer, Ehud, 1993. "Rational Learning Leads to Nash Equilibrium," Econometrica, Econometric Society, vol. 61(5), pages 1019-1045, September.
    9. Kreps, David M. & Wilson, Robert, 1982. "Reputation and imperfect information," Journal of Economic Theory, Elsevier, vol. 27(2), pages 253-279, August.
    10. Wiseman, Thomas, 2008. "Reputation and impermanent types," Games and Economic Behavior, Elsevier, vol. 62(1), pages 190-210, January.
    11. repec:dau:papers:123456789/6067 is not listed on IDEAS
    12. Phelan, Christopher, 2006. "Public trust and government betrayal," Journal of Economic Theory, Elsevier, vol. 130(1), pages 27-43, September.
    13. Milgrom, Paul & Roberts, John, 1982. "Predation, reputation, and entry deterrence," Journal of Economic Theory, Elsevier, vol. 27(2), pages 280-312, August.
    14. Drew Fudenberg & David K. Levine, 2008. "Reputation And Equilibrium Selection In Games With A Patient Player," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 7, pages 123-142, World Scientific Publishing Co. Pte. Ltd..
    15. Ekmekci, Mehmet, 2011. "Sustainable reputations with rating systems," Journal of Economic Theory, Elsevier, vol. 146(2), pages 479-503, March.
    16. Aumann, Robert J. & Sorin, Sylvain, 1989. "Cooperation and bounded recall," Games and Economic Behavior, Elsevier, vol. 1(1), pages 5-39, March.
    17. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, April.
    18. Bar-Isaac, Heski & Tadelis, Steven, 2008. "Seller Reputation," Foundations and Trends(R) in Microeconomics, now publishers, vol. 4(4), pages 273-351, August.
    19. Bernardita Vial, 2008. "Competitive Equilibrium and Reputation under Imperfect Public Monitoring," Documentos de Trabajo 327, Instituto de Economia. Pontificia Universidad Católica de Chile..
    20. Sorin, Sylvain, 1999. "Merging, Reputation, and Repeated Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 274-308, October.
    21. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
    22. Wiseman, Thomas, 2009. "Reputation and exogenous private learning," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1352-1357, May.
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    Cited by:

    1. Francisco Silva, 2020. "An informational Ponzi-scheme," Documentos de Trabajo 539, Instituto de Economia. Pontificia Universidad Católica de Chile..
    2. Fudenberg, Drew & Gao, Ying & Pei, Harry, 2022. "A reputation for honesty," Journal of Economic Theory, Elsevier, vol. 204(C).
    3. Renault, Jérôme & Solan, Eilon & Vieille, Nicolas, 2013. "Dynamic sender–receiver games," Journal of Economic Theory, Elsevier, vol. 148(2), pages 502-534.
    4. Liu, Qingmin & Skrzypacz, Andrzej, 2014. "Limited records and reputation bubbles," Journal of Economic Theory, Elsevier, vol. 151(C), pages 2-29.
    5. Daron Acemoglu & Alexander Wolitzky, 2012. "Cycles of Distrust: An Economic Model," Levine's Working Paper Archive 786969000000000502, David K. Levine.
    6. Sperisen, Benjamin, 2018. "Bounded memory and incomplete information," Games and Economic Behavior, Elsevier, vol. 109(C), pages 382-400.
    7. Harbaugh, Rick & To, Ted, 2014. "Opportunistic discrimination," European Economic Review, Elsevier, vol. 66(C), pages 192-204.
    8. Wang, Yan & Yang, Jian & Qi, Lian, 2017. "A game-theoretic model for the role of reputation feedback systems in peer-to-peer commerce," International Journal of Production Economics, Elsevier, vol. 191(C), pages 178-193.
    9. Dilmé, Francesc, 2019. "Reputation building through costly adjustment," Journal of Economic Theory, Elsevier, vol. 181(C), pages 586-626.
    10. David K. Levine, 2021. "The Reputation Trap," Econometrica, Econometric Society, vol. 89(6), pages 2659-2678, November.
    11. Sharma, Priyanka, 2017. "Is more information always better? A case in credit markets," Journal of Economic Behavior & Organization, Elsevier, vol. 134(C), pages 269-283.
    12. Hu, Ju, 2014. "Reputation in the presence of noisy exogenous learning," Journal of Economic Theory, Elsevier, vol. 153(C), pages 64-73.
    13. Eduardo Faingold, 2020. "Reputation and the Flow of Information in Repeated Games," Econometrica, Econometric Society, vol. 88(4), pages 1697-1723, July.
    14. Silva, Francisco, 2022. "The value of uncertainty in determining an expert's source of expertise," Games and Economic Behavior, Elsevier, vol. 136(C), pages 379-388.
    15. Ju Hu, 2013. "Reputation in the Presence of Noisy Exogenous Learning," PIER Working Paper Archive 13-009, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    16. Harry Pei, 2022. "Reputation Effects under Short Memories," Papers 2207.02744, arXiv.org, revised Jan 2023.
    17. Nuh Aygün Dalkıran, 2016. "Order of limits in reputations," Theory and Decision, Springer, vol. 81(3), pages 393-411, September.

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    More about this item

    Keywords

    Reputation; Repeated games; Impermanent types;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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