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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. George J. Mailath & Larry Samuelson, . "Who Wants a Good Reputation?," Penn CARESS Working Papers a3e3219aee004bd237f8112f9, Penn Economics Department.
  2. Bengt Holmstrom, 1999. "Managerial Incentive Problems: A Dynamic Perspective," NBER Working Papers 6875, National Bureau of Economic Research, Inc.
  3. Christopher Phelan, 2001. "Public trust and government betrayal," Staff Report 283, Federal Reserve Bank of Minneapolis.
  4. Kalai, Ehud & Lehrer, Ehud, 1995. "Subjective games and equilibria," Games and Economic Behavior, Elsevier, vol. 8(1), pages 123-163.
  5. 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.
  6. 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.
  7. 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.
  8. Martin W. Cripps & George J. Mailath & Larry Samuelson, 2002. "Imperfect Monitoring and Impermanent Reputations," PIER Working Paper Archive 03-016, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 30 May 2003.
  9. Mailath, George J & Samuelson, Larry, 2001. "Who Wants a Good Reputation? Erratum," Review of Economic Studies, Wiley Blackwell, vol. 68(3), pages 714, July.
  10. Celentani, Marco, et al, 1996. "Maintaining a Reputation against a Long-Lived Opponent," Econometrica, Econometric Society, vol. 64(3), pages 691-704, May.
  11. 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.
  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. 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).
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