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Disappearing Private Reputations in Long-Run Relationships

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Author Info

  • 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.

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Bibliographic Info

Paper provided by Penn Institute for Economic Research, Department of Economics, University of Pennsylvania in its series PIER Working Paper Archive with number 04-031.

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Length: 40 pages
Date of creation: 01 Mar 2004
Date of revision: 28 Jul 2004
Handle: RePEc:pen:papers:04-031

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Keywords: Reputation; Imperfect Monitoring; Repeated Games; Commitment; Private Beliefs;

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References

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  1. Fudenberg Drew & Levine David K., 1994. "Efficiency and Observability with Long-Run and Short-Run Players," Journal of Economic Theory, Elsevier, vol. 62(1), pages 103-135, February.
  2. Christopher Phelan, 2001. "Public trust and government betrayal," Staff Report 283, Federal Reserve Bank of Minneapolis.
  3. Drew Fudenberg & David K. Levine, 1995. "Reputation and Equilibrium Selection in Games with a Patient Player," Levine's Working Paper Archive 103, David K. Levine.
  4. Holmstrom, Bengt, 1999. "Managerial Incentive Problems: A Dynamic Perspective," Review of Economic Studies, Wiley Blackwell, vol. 66(1), pages 169-82, January.
  5. D. Fudenberg & D. K. Levine, 1999. "Maintaining a Reputation when Strategies are Imperfectly Observed," Levine's Working Paper Archive 571, David K. Levine.
  6. Celentani, Marco, et al, 1996. "Maintaining a Reputation against a Long-Lived Opponent," Econometrica, Econometric Society, vol. 64(3), pages 691-704, May.
  7. George J. Mailath & Larry Samuelson, . "Who Wants a Good Reputation?," Penn CARESS Working Papers a3e3219aee004bd237f8112f9, Penn Economics Department.
  8. Martin W. Cripps & George J. Mailath & Larry Samuelson, 2004. "Imperfect Monitoring and Impermanent Reputations," Econometrica, Econometric Society, vol. 72(2), pages 407-432, 03.
  9. Harold L. Cole & James Dow & William B. English, 1994. "Default, settlement, and signalling: lending resumption in a reputational model of sovereign debt," Staff Report 180, Federal Reserve Bank of Minneapolis.
  10. Kalai, Ehud & Lehrer, Ehud, 1995. "Subjective games and equilibria," Games and Economic Behavior, Elsevier, vol. 8(1), pages 123-163.
  11. HART, Sergiu, . "Nonzerosum two-person repeated games with incomplete information," CORE Discussion Papers RP -636, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  12. Kalai, Ehud & Lehrer, Ehud, 1993. "Subjective Games and Equilibria," Working Papers 875, California Institute of Technology, Division of the Humanities and Social Sciences.
  13. Mailath, George J & Samuelson, Larry, 2001. "Who Wants a Good Reputation? Erratum," Review of Economic Studies, Wiley Blackwell, vol. 68(3), pages 714, July.
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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. Martin W. Cripps & Jeffrey C. Ely & George J. Mailath & Larry Samuelson, 2008. "Common Learning," Econometrica, Econometric Society, vol. 76(4), pages 909-933, 07.
  3. Miriam Schütte & Philipp Christoph Wichardt, 2013. "Delegation and Interim Performance Evaluation," CESifo Working Paper Series 4193, CESifo Group Munich.
  4. Guillermo Ordonez, 2008. "Essays on Learning and Macroeconomics," Levine's Working Paper Archive 122247000000002250, David K. Levine.
  5. Mehmet Ekmekci & Olivier Gossner & Andrea Wilson, 2010. "Impermanent Types and Permanent Reputations," Discussion Papers 1511, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  6. Philippe Jehiel & Larry Samuelson, 2012. "Reputation with Analogical Reasoning," The Quarterly Journal of Economics, Oxford University Press, vol. 127(4), pages 1927-1969.
  7. Thomas Wiseman, 2006. "Reputation and Impermanent Types," 2006 Meeting Papers 650, Society for Economic Dynamics.
  8. 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.
  9. 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.
  10. Guillermo Ordonez, 2005. "Don't Ask Why Things Went Wrong: Nested Reputation and Scapegoating Inefficiency," Levine's Working Paper Archive 618897000000000988, David K. Levine.

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