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Disappearing Private Reputations in Long-Run Relationships

Author

Listed:
  • Martin W. Cripps

    (John M. Olin School of Business, Washington University, St. Louis
    Department of Economics, University of Pennsylvania)

  • Larry Samuelson

    (Department of Economics, University of Wisconsin)

Abstract

For games of public reputation with uncertainty over types and imperfect public monitoring, Cripps, Mailath, and Samuelson (2004) showed that an informed player facing short-lived uninformed opponents cannot maintain a permanent reputation for playing a strategy that is not part of an equilibrium of the game without uncertainty over types. This paper extends that result to games in which the uninformed player is long-lived and has private beliefs, so that the informed player’s reputation is private. We also show that the rate at which reputations disappear is uniform across equilibria and that reputations disappear in sufficiently long discounted finitely-repeated games.

Suggested Citation

  • Martin W. Cripps & Larry Samuelson, 2004. "Disappearing Private Reputations in Long-Run Relationships," PIER Working Paper Archive 04-031, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 28 Jul 2004.
    • Handle: RePEc:pen:papers:04-031
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    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. 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..
    3. Martin W. Cripps & George J. Mailath & Larry Samuelson, 2004. "Imperfect Monitoring and Impermanent Reputations," Econometrica, Econometric Society, vol. 72(2), pages 407-432, March.
    4. 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.
    5. 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..
    6. Marco Celentani & Drew Fudenberg & David K. Levine & Wolfgang Pesendorfer, 2008. "Maintaining A Reputation Against A Long-Lived Opponent," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 9, pages 163-176, World Scientific Publishing Co. Pte. Ltd..
    7. Kalai, Ehud & Lehrer, Ehud, 1995. "Subjective games and equilibria," Games and Economic Behavior, Elsevier, vol. 8(1), pages 123-163.
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    13. Sergiu Hart & David Schmeidler, 2013. "Existence Of Correlated Equilibria," World Scientific Book Chapters, in: Simple Adaptive Strategies From Regret-Matching to Uncoupled Dynamics, chapter 1, pages 3-14, World Scientific Publishing Co. Pte. Ltd..
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    Citations

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    Cited by:

    1. Christopher Phelan & Andrzej Skrzypacz, 2006. "Private monitoring with infinite histories," Staff Report 383, Federal Reserve Bank of Minneapolis.
    2. Markus Kinateder, 2013. "Delayed perfect monitoring in repeated games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 283-294, February.
    3. Wiseman, Thomas, 2008. "Reputation and impermanent types," Games and Economic Behavior, Elsevier, vol. 62(1), pages 190-210, January.
    4. Ekmekci, Mehmet & Gossner, Olivier & Wilson, Andrea, 2012. "Impermanent types and permanent reputations," Journal of Economic Theory, Elsevier, vol. 147(1), pages 162-178.
    5. Guillermo Ordonez, 2005. "Don't Ask Why Things Went Wrong: Nested Reputation and Scapegoating Inefficiency," Levine's Working Paper Archive 618897000000000988, David K. Levine.
    6. Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2008. "Common Learning," Econometrica, Econometric Society, vol. 76(4), pages 909-933, July.
    7. Markus Kinateder, 2006. "Repeated Games Played in a Network," UFAE and IAE Working Papers 674.06, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    8. 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.
    9. Gomaa, Mohamed & Kanagaretnam, Kiridaran & Mestelman, Stuart & Shehata, Mohamed, 2015. "Exercising empowerment in an investment environment," Journal of Behavioral and Experimental Finance, Elsevier, vol. 7(C), pages 33-41.
    10. Mailath, George J. & Samuelson, Larry, 2015. "Reputations in Repeated Games," Handbook of Game Theory with Economic Applications,, Elsevier.
    11. Philippe Jehiel & Larry Samuelson, 2012. "Reputation with Analogical Reasoning," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(4), pages 1927-1969.
    12. Hakenes, Hendrik & Katolnik, Svetlana, 2017. "On the incentive effects of job rotation," European Economic Review, Elsevier, vol. 98(C), pages 424-441.
    13. Kanagaretnam, Kiridaran & Mestelman, Stuart & Nainar, S.M. Khalid & Shehata, Mohamed, 2010. "Trust and reciprocity with transparency and repeated interactions," Journal of Business Research, Elsevier, vol. 63(3), pages 241-247, March.
    14. Aner Sela & Ishay Rabi & Chen Cohen, 2024. "Reputation in Contests," Working Papers 2409, Ben-Gurion University of the Negev, Department of Economics.
    15. Guillermo Ordonez, 2008. "Essays on Learning and Macroeconomics," Levine's Working Paper Archive 122247000000002250, David K. Levine.
    16. Miriam Schütte & Philipp Christoph Wichardt, 2013. "Delegation and Interim Performance Evaluation," CESifo Working Paper Series 4193, CESifo.
    17. Rosenberg, Dinah & Solan, Eilon & Vieille, Nicolas, 2009. "Informational externalities and emergence of consensus," Games and Economic Behavior, Elsevier, vol. 66(2), pages 979-994, July.

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    More about this item

    Keywords

    Reputation; Imperfect Monitoring; Repeated Games; Commitment; Private Beliefs;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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