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Impermanent types and permanent reputations

Listed author(s):
  • Mehmet Ekmekci

    (Kellogg School of Management - Northwestern University)

  • Olivier Gossner

    (PSE - Paris-Jourdan Sciences Economiques - ENS Paris - École normale supérieure - Paris - 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, LSE - London School of Economics and Political Science)

  • Andrea Wilson

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

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.

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Paper provided by HAL in its series PSE - Labex "OSE-Ouvrir la Science Economique" with number halshs-00754608.

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Date of creation: Jan 2012
Publication status: Published in Journal of Economic Theory, Elsevier, 2012, 147 (1), pp.162-178. <10.1016/j.jet.2011.11.006>
Handle: RePEc:hal:pseose:halshs-00754608
DOI: 10.1016/j.jet.2011.11.006
Note: View the original document on HAL open archive server: https://hal-pjse.archives-ouvertes.fr/halshs-00754608
Contact details of provider: Web page: https://hal.archives-ouvertes.fr/

References listed on IDEAS
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  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. Gossner, Olivier & Tomala, Tristan, 2008. "Entropy bounds on Bayesian learning," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 24-32, January.
  3. Martin W. Cripps & George J. Mailath & Larry Samuelson, 2004. "Imperfect Monitoring and Impermanent Reputations," Econometrica, Econometric Society, vol. 72(2), pages 407-432, 03.
  4. Aumann, Robert J. & Sorin, Sylvain, 1989. "Cooperation and bounded recall," Games and Economic Behavior, Elsevier, vol. 1(1), pages 5-39, March.
  5. Kalai, Ehud & Lehrer, Ehud, 1993. "Rational Learning Leads to Nash Equilibrium," Econometrica, Econometric Society, vol. 61(5), pages 1019-1045, September.
  6. Drew Fudenberg & David K. Levine, 1992. "Maintaining a Reputation when Strategies are Imperfectly Observed," Review of Economic Studies, Oxford University Press, vol. 59(3), pages 561-579.
  7. George J. Mailath & Larry Samuelson, 2001. "Who Wants a Good Reputation?," Review of Economic Studies, Oxford University Press, vol. 68(2), pages 415-441.
  8. Wiseman, Thomas, 2008. "Reputation and impermanent types," Games and Economic Behavior, Elsevier, vol. 62(1), pages 190-210, January.
  9. 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.
  10. Kreps, David M. & Wilson, Robert, 1982. "Reputation and imperfect information," Journal of Economic Theory, Elsevier, vol. 27(2), pages 253-279, August.
  11. Ekmekci, Mehmet, 2011. "Sustainable reputations with rating systems," Journal of Economic Theory, Elsevier, vol. 146(2), pages 479-503, March.
  12. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, July.
  13. Bar-Isaac, Heski & Tadelis, Steven, 2008. "Seller Reputation," Foundations and Trends(R) in Microeconomics, now publishers, vol. 4(4), pages 273-351, August.
  14. Milgrom, Paul & Roberts, John, 1982. "Predation, reputation, and entry deterrence," Journal of Economic Theory, Elsevier, vol. 27(2), pages 280-312, August.
  15. Fudenberg, Drew & Levine, David K, 1989. "Reputation and Equilibrium Selection in Games with a Patient Player," Econometrica, Econometric Society, vol. 57(4), pages 759-778, July.
  16. Phelan, Christopher, 2006. "Public trust and government betrayal," Journal of Economic Theory, Elsevier, vol. 130(1), pages 27-43, September.
  17. Bernardita Vial, 2008. "Competitive Equilibrium and Reputation under Imperfect Public Monitoring," Documentos de Trabajo 327, Instituto de Economia. Pontificia Universidad Católica de Chile..
  18. repec:dau:papers:123456789/6067 is not listed on IDEAS
  19. Sorin, Sylvain, 1999. "Merging, Reputation, and Repeated Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 274-308, October.
  20. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
  21. Wiseman, Thomas, 2009. "Reputation and exogenous private learning," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1352-1357, May.
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