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Disappearing Private Reputations in Long-Run Relationships

  • 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)

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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File URL: http://economics.sas.upenn.edu/system/files/working-papers/04-031.pdf
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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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  1. 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.
  2. Kalai, Ehud & Lehrer, Ehud, 1995. "Subjective games and equilibria," Games and Economic Behavior, Elsevier, vol. 8(1), pages 123-163.
  3. Fudenberg, Drew & Levine, David K, 1989. "Reputation and Equilibrium Selection in Games with a Patient Player," Econometrica, Econometric Society, vol. 57(4), pages 759-78, July.
  4. George J. Mailath & Larry Samuelson, . ""Who Wants a Good Reputation?''," CARESS Working Papres 98-12, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
  5. Christopher Phelan, 2001. "Public trust and government betrayal," Staff Report 283, Federal Reserve Bank of Minneapolis.
  6. Martin W. Cripps & George J. Mailath & Larry Samuelson, 2004. "Imperfect Monitoring and Impermanent Reputations," Econometrica, Econometric Society, vol. 72(2), pages 407-432, 03.
  7. Mailath, George J & Samuelson, Larry, 2001. "Who Wants a Good Reputation? Erratum," Review of Economic Studies, Wiley Blackwell, vol. 68(3), pages 714, July.
  8. Bengt Holmstrom, 1999. "Managerial Incentive Problems: A Dynamic Perspective," NBER Working Papers 6875, National Bureau of Economic Research, Inc.
  9. 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).
  10. Kalai, Ehud & Lehrer, Ehud, 1993. "Subjective Games and Equilibria," Working Papers 875, California Institute of Technology, Division of the Humanities and Social Sciences.
  11. Fudenberg, Drew & Levine, David K, 1992. "Maintaining a Reputation When Strategies Are Imperfectly Observed," Review of Economic Studies, Wiley Blackwell, vol. 59(3), pages 561-79, July.
  12. 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.
  13. Celentani, Marco, et al, 1996. "Maintaining a Reputation against a Long-Lived Opponent," Econometrica, Econometric Society, vol. 64(3), pages 691-704, May.
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