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Reputation in Perturbed Repeated Games

Author

Listed:
  • 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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Suggested Citation

  • Cripps, Martin W. & Schmidt, Klaus M. & Thomas, Jonathan P., 1996. "Reputation in Perturbed Repeated Games," Journal of Economic Theory, Elsevier, vol. 69(2), pages 387-410, May.
  • Handle: RePEc:eee:jetheo:v:69:y:1996:i:2:p:387-410
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    Cited by:

    1. 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.
    2. Burkhard Schipper, 2015. "Strategic teaching and learning in games," Working Papers 151, University of California, Davis, Department of Economics.
    3. Salomon, Antoine & Forges, Françoise, 2015. "Bayesian repeated games and reputation," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 70-104.
    4. Martin W. Cripps & Jonathan P. Thomas, 2003. "Some Asymptotic Results in Discounted Repeated Games of One-Sided Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 28(3), pages 433-462, August.
    5. Shota Fujishima, 2015. "The emergence of cooperation through leadership," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 17-36, February.
    6. Marco Celentani & Drew Fudenberg & David K. Levine & Wolfgang Pesendorfer, 1996. "Maintaining a Reputation against a Patient Opponent," Levine's Working Paper Archive 2015, David K. Levine.
    7. Atakan, Alp E. & Ekmekci, Mehmet, 2015. "Reputation in the long-run with imperfect monitoring," Journal of Economic Theory, Elsevier, vol. 157(C), pages 553-605.
    8. Melkonian, Tigran A., 1998. "Two essays on reputation effects in economic models," ISU General Staff Papers 1998010108000012873, Iowa State University, Department of Economics.
    9. Mailath, George J. & Samuelson, Larry, 2015. "Reputations in Repeated Games," Handbook of Game Theory with Economic Applications, Elsevier.
    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. 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. Dilip Abreu & David G. Pearce, 2006. "Bargaining, Reputation and Equilibrium Selection in Repeated Games with Contracts," Levine's Bibliography 321307000000000640, UCLA Department of Economics.
    13. Israeli, Eitan, 1999. "Sowing Doubt Optimally in Two-Person Repeated Games," Games and Economic Behavior, Elsevier, vol. 28(2), pages 203-216, August.
    14. Wolitzky, Alexander, 2011. "Indeterminacy of reputation effects in repeated games with contracts," Games and Economic Behavior, Elsevier, vol. 73(2), pages 595-607.
    15. 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.
    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. Pierpaolo Battigalli & Joel Watson, 1997. "On "Reputation" Refinements with Heterogeneous Beliefs," Econometrica, Econometric Society, vol. 65(2), pages 369-374, March.
    18. D. Abreu & D. Pearce, 2000. "Bargaining, Reputation and Equilibrium Selection in Repeated Games," Princeton Economic Theory Papers 00f2, Economics Department, Princeton University.
    19. 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.
    20. Atakan, Alp Enver & Ekmekci, Mehmet, 2014. "Reputation in Repeated Moral Hazard Games," MPRA Paper 54427, University Library of Munich, Germany.
    21. Dilip Abreu & David G. Pearce, 2006. "Reputational Wars of Attrition with Complex Bargaining Postures," Levine's Working Paper Archive 122247000000001218, David K. Levine.
    22. Sorin, Sylvain, 1999. "Merging, Reputation, and Repeated Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 274-308, October.

    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation

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