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Patience or Fairness? Analyzing Social Preferences in Repeated Games

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  • John Duffy

    (Department of Economics, University of Pittsburgh, Pittsburgh, PA 15260, USA)

  • Félix Muñoz-García

    (School of Economic Sciences, Washington State University, Pullman, WA 99164, USA)

Abstract

This paper investigates how the introduction of social preferences affects players’ equilibrium behavior in both the one-shot and the infinitely repeated version of the Prisoner’s Dilemma game. We show that fairness concerns operate as a ”substitute” for time discounting in the infinitely repeated game, as fairness helps sustain cooperation for lower discount factors. In addition, such cooperation can be supported under larger parameter values if players are informed about each others’ social preferences than if they are uninformed. Finally, our results help to identify conditions under which cooperative behavior observed in recent experimental repeated games can be rationalized using time preferences alone (patience) or a combination of time and social preferences (fairness).

Suggested Citation

  • John Duffy & Félix Muñoz-García, 2012. "Patience or Fairness? Analyzing Social Preferences in Repeated Games," Games, MDPI, vol. 3(1), pages 1-22, March.
  • Handle: RePEc:gam:jgames:v:3:y:2012:i:1:p:56-77:d:16780
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    References listed on IDEAS

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    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Charles F. Mason, 2022. "Cooperation in Dynamic Games with Asymmetric Players: The Role of Social Preferences," Dynamic Games and Applications, Springer, vol. 12(3), pages 977-995, September.
    2. Yutaka Kayaba & Hitoshi Matsushima & Tomohisa Toyama, 2016. "Accuracy and Retaliation in Repeated Games with Imperfect Private Monitoring:Experiments and Theory," CIRJE F-Series CIRJE-F-1004, CIRJE, Faculty of Economics, University of Tokyo.
    3. Jörg Oechssler, 2013. "Finitely repeated games with social preferences," Experimental Economics, Springer;Economic Science Association, vol. 16(2), pages 222-231, June.
    4. Matsushima Hitoshi, 2020. "Behavioral Theory of Repeated Prisoner’s Dilemma: Generous Tit-For-Tat Strategy," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 20(1), pages 1-11, January.
    5. Hitoshi Matsushima & Tomomi Tanaka & Tomohisa Toyama, 2013. "Behavioral Approach to Repeated Games with Private Monitoring," CARF F-Series CARF-F-309, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    6. Casoria, Fortuna & Ciccone, Alice, 2021. "Do upfront investments increase cooperation? A laboratory experiment," European Economic Review, Elsevier, vol. 140(C).
    7. John Duffy & Felix Munoz-Garcia, 2010. "Signaling Concerns about Fairness: Cooperation under Uncertain Social Preferences," Working Papers 2010-19, School of Economic Sciences, Washington State University.
    8. John Duffy & Felix Munoz-Garcia, 2012. "Cooperation and Signaling with Uncertain Social Preferences," Working Paper 491, Department of Economics, University of Pittsburgh, revised May 2013.
    9. Hitoshi Matsushima, 2019. "Behavioral Theory of Repeated Prisoner’s Dilemma: Generous Tit-For-Tat Strategy (Forthcoming in the B. E. Journal of Theoretical Economics)," CARF F-Series CARF-F-452, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    10. Yutaka Kayaba & Hitoshi Matsushima & Tomohisa Toyama, 2017. "Accuracy and Retaliation in Repeated Games with Imperfect Private Monitoring: Experiments and Theory (Revised version of F-381)," CARF F-Series CARF-F-414, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    11. Hitoshi Matsushima & Tomohisa Toyama, 2011. "Monitoring Accuracy and Retaliation in Infinitely Repeated Games with Imperfect Private Monitoring: Theory and Experiments," CIRJE F-Series CIRJE-F-795, CIRJE, Faculty of Economics, University of Tokyo.
    12. John Duffy & Félix Muñoz-García, 2015. "Cooperation and signaling with uncertain social preferences," Theory and Decision, Springer, vol. 78(1), pages 45-75, January.

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    More about this item

    Keywords

    prisoner’s dilemma; repeated games; inequity aversion; time discounting; social preferences;
    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
    • H43 - Public Economics - - Publicly Provided Goods - - - Project Evaluation; Social Discount Rate
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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