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Reputation and Commitment in Two-Person Repeated Games without Discounting

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  • Cripps, Martin W
  • Thomas, Jonathan P

Abstract

Two-person repeated games with no discounting are considered where there is uncertainty about the type of the players. If there is a possibility that a player is an automaton committed to a particular pure or mixed stage-game action, then this provides a lower bound on the Nash equilibrium payoffs to a normal type of this player. The lower bound is the best available and is robust to the existence of other types. The results are extended to the case of two-sided uncertainty. This work extends Schmidt (1993) who analyzed the restricted class of conflicting interest games. Copyright 1995 by The Econometric Society.

Suggested Citation

  • Cripps, Martin W & Thomas, Jonathan P, 1995. "Reputation and Commitment in Two-Person Repeated Games without Discounting," Econometrica, Econometric Society, vol. 63(6), pages 1401-1419, November.
    • Handle: RePEc:ecm:emetrp:v:63:y:1995:i:6:p:1401-19
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    Cited by:

    1. Martin W. Cripps & George J. Mailath & Larry Samuelson, 2004. "Imperfect Monitoring and Impermanent Reputations," Econometrica, Econometric Society, vol. 72(2), pages 407-432, March.
    2. Salomon, Antoine & Forges, Françoise, 2015. "Bayesian repeated games and reputation," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 70-104.
    3. 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.
    4. Cesi Berardino & Iozzi Alberto & Valentini Edilio, 2012. "Regulating Unverifiable Quality by Fixed-Price Contracts," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 12(1), pages 1-39, September.
    5. Burkhard C. Schipper, 2022. "Strategic Teaching and Learning in Games," American Economic Journal: Microeconomics, American Economic Association, vol. 14(3), pages 321-352, August.
    6. Joel Slemrod, 2002. "Trust in Public Finance," NBER Working Papers 9187, National Bureau of Economic Research, Inc.
    7. Rainer Nitsche, 2000. "Incentives to Grow: Multimarket Firms and Predation," CIG Working Papers FS IV 00-19, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
    8. Yuval Heller & Erik Mohlin, 2018. "Observations on Cooperation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(4), pages 2253-2282.
    9. Sorin, Sylvain, 1999. "Merging, Reputation, and Repeated Games with Incomplete Information," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 274-308, October.
    10. Cripps, Martin W. & Dekel, Eddie & Pesendorfer, Wolfgang, 2005. "Reputation with equal discounting in repeated games with strictly conflicting interests," Journal of Economic Theory, Elsevier, vol. 121(2), pages 259-272, April.
    11. Celentani, Marco & Pesendorfer, Wolfgang, 1996. "Reputation in Dynamic Games," Journal of Economic Theory, Elsevier, vol. 70(1), pages 109-132, July.
    12. Jeffrey C. Ely & Juuso Välimäki, 2003. "Bad Reputation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(3), pages 785-814.
    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. 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.
    15. David Hugh-Jones & Ro’i Zultan, 2013. "Reputation and Cooperation in Defense," Journal of Conflict Resolution, Peace Science Society (International), vol. 57(2), pages 327-355, April.
    16. Françoise Forges, 2012. "Folk theorems for Bayesian (public good) games," Post-Print hal-02447604, HAL.
    17. 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.
    18. Atakan, Alp Enver & Ekmekci, Mehmet, 2014. "Reputation in Repeated Moral Hazard Games," MPRA Paper 54427, University Library of Munich, Germany.
    19. Burkhard Schipper, 2015. "Strategic teaching and learning in games," Working Papers 151, University of California, Davis, Department of Economics.
    20. Chrysanthos Dellarocas, 2006. "How Often Should Reputation Mechanisms Update a Trader's Reputation Profile?," Information Systems Research, INFORMS, vol. 17(3), pages 271-285, September.
    21. Marco Celentani & Drew Fudenberg & David K. Levine & Wolfgang Pesendorfer, 2008. "Maintaining A Reputation Against A Long-Lived Opponent," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 9, pages 163-176, World Scientific Publishing Co. Pte. Ltd..
    22. Larry Samuelson, 2003. "Imperfect Monitoring and Impermanent Reputations," Theory workshop papers 505798000000000030, UCLA Department of Economics.

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