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Accuracy and Retaliation in Repeated Games with Imperfect Private Monitoring: Experiments and Theory

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  • KAYABA, Yutaka
  • 萱場, 豊
  • MATSUSHIMA, Hitoshi
  • TOYAMA, Tomohisa

Abstract

We experimentally examine repeated prisoners' dilemma with random termination, where monitoring is imperfect and private. Our estimation indicates that a significant proportion of subjects follow generous Tit-For-Tat (g-TFT) strategies, straightforward extensions of Tit-For-Tat. However, the observed retaliating policies are inconsistent with the g-TFT equilibria. Contrarily to the theory, subjects tend to retaliate more with high accuracy than with low accuracy. They tend to retaliate more than the theory predicts with high accuracy, while they tend to retaliate lesser with low accuracy. In order to describe these results as unique equilibrium, we demonstrate an alternative theory that incorporates naïveté and reciprocity.

Suggested Citation

  • KAYABA, Yutaka & 萱場, 豊 & MATSUSHIMA, Hitoshi & TOYAMA, Tomohisa, 2016. "Accuracy and Retaliation in Repeated Games with Imperfect Private Monitoring: Experiments and Theory," Discussion paper series HIAS-E-23, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    • Handle: RePEc:hit:hiasdp:hias-e-23
    Note: First Version: March 18, 2016 ; Current Version: April 14, 2016
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    1. Gallo, Edoardo & Riyanto, Yohanes E. & Roy, Nilanjan & Teh, Tat-How, 2019. "Cooperation in an Uncertain and Dynamic World," MPRA Paper 97878, University Library of Munich, Germany.

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    More about this item

    Keywords

    Repeated Prisoner's Dilemma; Imperfect Private Monitoring; Experiments; Generous Tit-For-Tat; Behavioral Model;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • 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
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles

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