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Reputation in the long-run with imperfect monitoring


  • Atakan, Alp E.
  • Ekmekci, Mehmet


We study an infinitely repeated game where two players with equal discount factors play a simultaneous-move stage game. Player one monitors the stage-game actions of player two imperfectly, while player two monitors the pure stage-game actions of player one perfectly. Player one's type is private information and he may be a “commitment type,” drawn from a countable set of commitment types, who is locked into playing a particular strategy. Under a full-support assumption on the monitoring structure, we prove a reputation result for stage games with a strong Stackelberg action: if there is positive probability that player one is a particular type whose commitment payoff is equal to player one's highest payoff, consistent with the players' individual rationality, then a patient player one secures this type's commitment payoff in any Bayes–Nash equilibrium of the repeated game. In contrast, if the type's commitment payoff is strictly less than player one's highest payoff consistent with the players' individual rationality, then the worst perfect Bayesian equilibrium payoff for a patient player one is equal to his minimax payoff.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:jetheo:v:157:y:2015:i:c:p:553-605 DOI: 10.1016/j.jet.2015.01.012

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    References listed on IDEAS

    1. Davidson, James, 1994. "Stochastic Limit Theory: An Introduction for Econometricians," OUP Catalogue, Oxford University Press, number 9780198774037, June.
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    15. Alp E. Atakan & Mehmet Ekmekci, 2012. "Reputation in Long-Run Relationships," Review of Economic Studies, Oxford University Press, vol. 79(2), pages 451-480.
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    Cited by:

    1. 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.
    2. Sharma, Priyanka, 2017. "Is more information always better? A case in credit markets," Journal of Economic Behavior & Organization, Elsevier, vol. 134(C), pages 269-283.
    3. Atakan, Alp Enver & Ekmekci, Mehmet, 2014. "Reputation in Repeated Moral Hazard Games," MPRA Paper 54427, University Library of Munich, Germany.
    4. Monte, Daniel, 2016. "Reputation with one-sided monitoring: Ignorance as a commitment device," Economics Letters, Elsevier, vol. 144(C), pages 18-21.
    5. Nuh Aygün Dalkıran, 2016. "Order of limits in reputations," Theory and Decision, Springer, vol. 81(3), pages 393-411, September.

    More about this item


    Repeated games; Reputation; Equal discount factor; Long-run players; Imperfect monitoring; Finite automaton;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness


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