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Reputation with Analogical Reasoning

Author

Listed:
  • Philippe Jehiel

    (PSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, UCL - University College London [UCL])

  • Larry Samuelson

    (Department of Economics - Yale University [New Haven])

Abstract

We consider a repeated interaction between a long-run player and a sequence of short-run players, in which the long-run player may either be rational or may be a mechanical type who plays the same (possibly mixed) action in every stage game. We depart from the classical model in assuming that the short-run players make inferences by analogical reasoning, meaning that they correctly identify the average strategy of each type of long-run player, but do not recognize how this play varies across histories. Concentrating on 2 × 2 games, we provide a characterization of equilibrium payoffs, establishing a payoff bound for the rational long-run player that can be strictly larger than the familiar "Stackelberg" bound. We also provide a characterization of equilibrium behavior, showing that play begins with either a reputation-building or a reputation-spending stage (depending on parameters), followed by a reputation-manipulation stage.

Suggested Citation

  • Philippe Jehiel & Larry Samuelson, 2012. "Reputation with Analogical Reasoning," PSE-Ecole d'économie de Paris (Postprint) hal-00813043, HAL.
    • Handle: RePEc:hal:pseptp:hal-00813043
    DOI: 10.1093/qje/qjs031
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    Cited by:

    1. Jehiel, Philippe & Samuelson, Larry, 2023. "The analogical foundations of cooperation," Journal of Economic Theory, Elsevier, vol. 208(C).
    2. Jehiel, Philippe, 2015. "Investment strategy and selection bias: An equilibrium perspective on overconfidence," CEPR Discussion Papers 10868, C.E.P.R. Discussion Papers.
    3. Liu, Qingmin & Skrzypacz, Andrzej, 2014. "Limited records and reputation bubbles," Journal of Economic Theory, Elsevier, vol. 151(C), pages 2-29.
    4. Sperisen, Benjamin, 2018. "Bounded memory and incomplete information," Games and Economic Behavior, Elsevier, vol. 109(C), pages 382-400.
    5. Philippe Jehiel, 2022. "Analogy-Based Expectation Equilibrium and Related Concepts:Theory, Applications, and Beyond," Working Papers halshs-03735680, HAL.
    6. Harry Pei, 2020. "Reputation for Playing Mixed Actions: A Characterization Theorem," Papers 2006.16206, arXiv.org, revised Apr 2021.
    7. Mailath, George J. & Samuelson, Larry, 2015. "Reputations in Repeated Games," Handbook of Game Theory with Economic Applications,, Elsevier.
    8. Bilancini, Ennio & Boncinelli, Leonardo, 2018. "Signaling to analogical reasoners who can acquire costly information," Games and Economic Behavior, Elsevier, vol. 110(C), pages 50-57.
    9. Andrew Mell, 2015. "Fooling Some of the People Some of the Time: Reputation Management and Optimal Betrayal," Economics Series Working Papers 770, University of Oxford, Department of Economics.
    10. Pavan, Alessandro, 2025. "Attention, coordination, and bounded recall," Journal of Economic Theory, Elsevier, vol. 227(C).
    11. Harry Pei, 2020. "Trust and Betrayals: Reputational Payoffs and Behaviors without Commitment," Papers 2006.08071, arXiv.org.
    12. Yingkai Li & Harry Pei, 2020. "Misspecified Beliefs about Time Lags," Papers 2012.07238, arXiv.org.
    13. Paul E. Fischer & Mirko S. Heinle & Kevin C. Smith, 2020. "Constrained listening, audience alignment, and expert communication," RAND Journal of Economics, RAND Corporation, vol. 51(4), pages 1037-1062, December.
    14. Harry Pei, 2022. "Reputation Effects under Short Memories," Papers 2207.02744, arXiv.org, revised Jan 2023.
    15. David Ettinger & Philippe Jehiel, 2021. "An experiment on deception, reputation and trust," Experimental Economics, Springer;Economic Science Association, vol. 24(3), pages 821-853, September.

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