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Disappearing Private Reputations in Long-Run Relationships

  • Martin W. Cripps
  • George J. Mailath
  • Larry Samuelson

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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Paper provided by UCLA Department of Economics in its series Levine's Bibliography with number 321307000000000152.

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Date of creation: 21 Jun 2006
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Handle: RePEc:cla:levrem:321307000000000152
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  1. 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.
  2. Kalai, Ehud & Lehrer, Ehud, 1993. "Subjective Games and Equilibria," Working Papers 875, California Institute of Technology, Division of the Humanities and Social Sciences.
  3. George J. Mailath & Larry Samuelson, 2000. "Who Wants a Good Reputation?," CARESS Working Papres sell-rep, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
  4. D. Fudenberg & D. K. Levine, 1994. "Efficiency and Observability with Long-Run and Short-Run Players," Levine's Working Paper Archive 627, David K. Levine.
  5. Bengt Holmstrom, 1999. "Managerial Incentive Problems: A Dynamic Perspective," NBER Working Papers 6875, National Bureau of Economic Research, Inc.
  6. Drew Fudenberg & David Levine, 1987. "Reputation and Equilibrium Selection in Games With a Patient Player," Working papers 461, Massachusetts Institute of Technology (MIT), Department of Economics.
  7. D. Fudenberg & D. K. Levine, 1999. "Maintaining a Reputation when Strategies are Imperfectly Observed," Levine's Working Paper Archive 571, David K. Levine.
  8. 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.
  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. Christopher Phelan, 2001. "Public trust and government betrayal," Staff Report 283, Federal Reserve Bank of Minneapolis.
  11. Marco Celentani, 1993. "Maintaining a Reputation Against A Long-Lived Opponent," Discussion Papers 1075R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  12. Mailath, George J & Samuelson, Larry, 2001. "Who Wants a Good Reputation? Erratum," Review of Economic Studies, Wiley Blackwell, vol. 68(3), pages 714, July.
  13. Kalai, Ehud & Lehrer, Ehud, 1995. "Subjective games and equilibria," Games and Economic Behavior, Elsevier, vol. 8(1), pages 123-163.
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