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Reputation in perturbed repeated games

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  • Cripps, Martin W.
  • Schmidt, Klaus M.
  • Thomas, Jonathan P.

Abstract

The paper analyzes reputation effects in perturbed repeated games with discounting. If there is some positive prior probability that one of the players is committed to play the same (pure) action in every period, then this provides a lower bound for her equilibrium playoff in all Nash equilibria. This bound is tight and independent of what other types have positive probability. It is generally lower than Fudenberg and Levine’s bound for games with a long-run player facing a sequence of short-run opponents. The bound cannot be improved by considering types playing finitely complicated history-dependent commitment strategies. Journal of Economic Literature Classification Numbers: C73, D83, L14.

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Bibliographic Info

Paper provided by University of Munich, Department of Economics in its series Munich Reprints in Economics with number 20052.

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Date of creation: 1996
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Publication status: Published in Journal of Economic Theory 2 69(1996): pp. 387-410
Handle: RePEc:lmu:muenar:20052

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Cited by:
  1. Sorin, Sylvain, 1999. "Merging, Reputation, and Repeated Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 274-308, October.
  2. Sandroni, Alvaro, 2000. "Reciprocity and Cooperation in Repeated Coordination Games: The Principled-Player Approach," Games and Economic Behavior, Elsevier, vol. 32(2), pages 157-182, August.
  3. Jonathan P. Thomas & Martin Cripps, 2000. "Some Asymptotic Results in Discounted Repeated Games of One-Sided Incomplete Information," Game Theory and Information 0004003, EconWPA.
  4. Pierpaolo Battigalli & Joel Watson, 1997. "On "Reputation" Refinements with Heterogeneous Beliefs," Econometrica, Econometric Society, vol. 65(2), pages 369-374, March.
  5. 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.
  6. Atakan, Alp Enver & Ekmekci, Mehmet, 2014. "Reputation in Repeated Moral Hazard Games," MPRA Paper 54427, University Library of Munich, Germany.
  7. Blundell,Richard & Newey,Whitney K. & Persson,Torsten (ed.), 2006. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521692083.
  8. Israeli, Eitan, 1999. "Sowing Doubt Optimally in Two-Person Repeated Games," Games and Economic Behavior, Elsevier, vol. 28(2), pages 203-216, August.
  9. D. Abreu & D. Pearce, . "Bargaining, Reputation and Equilibrium Selection in Repeated Games," Princeton Economic Theory Papers 00f2, Economics Department, Princeton University.
  10. Marco Celentani & Drew Fudenberg & David K Levine & Wolfgang Pesendorfer, 2006. "Maintaining A Reputation Against A Patient Opponent," Levine's Working Paper Archive 699152000000000019, David K. Levine.
  11. Jimmy Chan, 2000. "On the Non-Existence of Reputation Effects in Two-Person Infinitely-Repeated Games," Economics Working Paper Archive 441, The Johns Hopkins University,Department of Economics.
  12. Francoise Forges & Antoine Salomon, 2014. "Bayesian Repeated Games and Reputations," CESifo Working Paper Series 4700, CESifo Group Munich.
  13. Dilip Abreu & David G. Pearce, 2006. "Reputational Wars of Attrition with Complex Bargaining Postures," Levine's Working Paper Archive 122247000000001218, David K. Levine.
  14. Hausken, Kjell, 2007. "Reputation, incomplete information, and differences in patience in repeated games with multiple equilibria," Economics Letters, Elsevier, vol. 97(2), pages 138-144, November.
  15. Dilip Abreu & David G. Pearce, 2006. "Bargaining, Reputation and Equilibrium Selection in Repeated Games with Contracts," Levine's Bibliography 321307000000000640, UCLA Department of Economics.
  16. Bolton, Gary E. & Ockenfels, Axel & Ebeling, Felix, 2011. "Information value and externalities in reputation building," International Journal of Industrial Organization, Elsevier, vol. 29(1), pages 23-33, January.
  17. Cripps, Martin W. & Thomas, Jonathan P., 1997. "Reputation and Perfection in Repeated Common Interest Games," Games and Economic Behavior, Elsevier, vol. 18(2), pages 141-158, February.

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