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Psychological Aspect of Monitoring Accuracy in Repeated Prisoners’ Dilemma

Author

Listed:
  • Yutaka Kayaba

    (University of Tokyo)

  • Hitoshi Matsushima

    (University of Tokyo)

  • Tomohisa Toyama

    (International Christian University)

Abstract

This study theoretically investigates an infinitely repeated prisoners' dilemma in which the monitoring technology is imperfect and private. In contrast to previous works, we shed light on the psychological aspect of monitoring imperfection rather than its informational aspect. We demonstrate a behavioral model in which a player is motivated not only by pure self-interest but also by social preferences such as reciprocity and naïveté. We then focus on the possibility that a generous tit-for-tat strategy, a simple Markovian stochastic strategy, satisfies equilibrium properties. We show that the prediction from the behavioral model is opposed to, but much more compatible with, daily experiences and existing experimental evidence than the prediction from the standard model with pure self-interest.

Suggested Citation

  • Yutaka Kayaba & Hitoshi Matsushima & Tomohisa Toyama, 2018. "Psychological Aspect of Monitoring Accuracy in Repeated Prisoners’ Dilemma," CARF F-Series CARF-F-432, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  • Handle: RePEc:cfi:fseres:cf432
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    References listed on IDEAS

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    1. Drew Fudenberg & David Levine & Eric Maskin, 2008. "The Folk Theorem With Imperfect Public Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 12, pages 231-273, World Scientific Publishing Co. Pte. Ltd..
    2. Hitoshi Matsushima, 2004. "Repeated Games with Private Monitoring: Two Players," Econometrica, Econometric Society, vol. 72(3), pages 823-852, May.
    3. Gary Charness & Matthew Rabin, 2002. "Understanding Social Preferences with Simple Tests," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 817-869.
    4. Bhaskar, V. & Obara, Ichiro, 2002. "Belief-Based Equilibria in the Repeated Prisoners' Dilemma with Private Monitoring," Journal of Economic Theory, Elsevier, vol. 102(1), pages 40-69, January.
    5. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    6. Guth, Werner & Schmittberger, Rolf & Schwarze, Bernd, 1982. "An experimental analysis of ultimatum bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 367-388, December.
    7. John Duffy & Félix Muñoz-García, 2012. "Patience or Fairness? Analyzing Social Preferences in Repeated Games," Games, MDPI, vol. 3(1), pages 1-22, March.
    8. Ely, Jeffrey C. & Valimaki, Juuso, 2002. "A Robust Folk Theorem for the Prisoner's Dilemma," Journal of Economic Theory, Elsevier, vol. 102(1), pages 84-105, January.
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    Cited by:

    1. Kayaba, Yutaka & Matsushima, Hitoshi & Toyama, Tomohisa, 2020. "Accuracy and retaliation in repeated games with imperfect private monitoring: Experiments," Games and Economic Behavior, Elsevier, vol. 120(C), pages 193-208.

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