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Reputation without commitment in finitely-repeated games

Author

Listed:
  • Weinstein, Jonathan

    (Department of Economics, Washington University in St. Louis)

  • Yildiz, Muhamet

    (Department of Economics, Massachusetts Institute of Technology)

Abstract

In the reputation literature, players have \emph{commitment types} which represent the possibility that they do not have standard payoffs but instead are constrained to follow a particular plan. In this paper, we show that arbitrary commitment types can emerge from incomplete information about the stage payoffs. In particular, any finitely repeated game with commitment types is strategically equivalent to a standard finitely repeated game with incomplete information about the stage payoffs. Then, classic reputation results can be achieved with uncertainty concerning only the stage payoffs.

Suggested Citation

  • Weinstein, Jonathan & Yildiz, Muhamet, 2016. "Reputation without commitment in finitely-repeated games," Theoretical Economics, Econometric Society, vol. 11(1), January.
    • Handle: RePEc:the:publsh:1893
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    References listed on IDEAS

    as
    1. Kreps, David M. & Milgrom, Paul & Roberts, John & Wilson, Robert, 1982. "Rational cooperation in the finitely repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 27(2), pages 245-252, August.
    2. Drew Fudenberg & David K. Levine, 2008. "Reputation And Equilibrium Selection In Games With A Patient Player," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 7, pages 123-142, World Scientific Publishing Co. Pte. Ltd..
    3. Jonathan Weinstein & Muhamet Yildiz, 2007. "A Structure Theorem for Rationalizability with Application to Robust Predictions of Refinements," Econometrica, Econometric Society, vol. 75(2), pages 365-400, March.
    4. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    5. Kreps, David M. & Wilson, Robert, 1982. "Reputation and imperfect information," Journal of Economic Theory, Elsevier, vol. 27(2), pages 253-279, August.
    6. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
    7. Milgrom, Paul & Roberts, John, 1982. "Predation, reputation, and entry deterrence," Journal of Economic Theory, Elsevier, vol. 27(2), pages 280-312, August.
    8. Alexander Wolitzky, 2012. "Reputational Bargaining With Minimal Knowledge of Rationality," Econometrica, Econometric Society, vol. 80(5), pages 2047-2087, September.
    9. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
    10. Dilip Abreu & David Pearce, 2007. "Bargaining, Reputation, and Equilibrium Selection in Repeated Games with Contracts," Econometrica, Econometric Society, vol. 75(3), pages 653-710, May.
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    Cited by:

    1. Send, Jonas & Serena, Marco, 2022. "An empirical analysis of insistent bargaining," Journal of Economic Psychology, Elsevier, vol. 90(C).
    2. Yangbo Song & Mofei Zhao, 2023. "Cooperative teaching and learning of actions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1289-1327, November.
    3. Anna Cartwright & Edward Cartwright, 2019. "Ransomware and Reputation," Games, MDPI, vol. 10(2), pages 1-14, June.
    4. Mariann Ollár & Antonio Penta, 2019. "Implementation via transfers with identical but unknown distributions," Economics Working Papers 1676, Department of Economics and Business, Universitat Pompeu Fabra.
    5. Jonas Send & Marco Serena, 2021. "An Empirical Analysis of Stubborn Bargaining," Working Papers tax-mpg-rps-2021-05, Max Planck Institute for Tax Law and Public Finance.
    6. Harry Pei, 2020. "Trust and Betrayals: Reputational Payoffs and Behaviors without Commitment," Papers 2006.08071, arXiv.org.

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    More about this item

    Keywords

    Reputation; repeated games; commitment;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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