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Bonding by guilt: A resolution of the finite horizon prisoners’ dilemma

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  • Appelbaum, Elie
  • Katz, Eliakim
Abstract
This paper proposes an intuitive, guilt-based dynamic resolution of the prisoners’ dilemma with a finite horizon by viewing cooperation as generating a “stock of potential guilt” (SPG) that actuates upon defection, turning into realized guilt-cost. A player’s SPG is a state variable that increases with each cooperative interaction and moves according to a motion equation, converting the standard prisoners’ dilemma into one with a dynamic payoff matrix. We show that cooperation equilibria are possible for a wide range of parameter values within our guilt-based dynamic model, even if we do not exogenously assume that players necessarily cooperate in the first period of the game. We examine the likelihood of cooperation and find that higher guilt retention or discount factors, a longer time horizon, and greater SPG-responsiveness to cooperation in each period all increase the likelihood of equilibrium cooperation.

Suggested Citation

  • Appelbaum, Elie & Katz, Eliakim, 2022. "Bonding by guilt: A resolution of the finite horizon prisoners’ dilemma," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 100(C).
    • Handle: RePEc:eee:soceco:v:100:y:2022:i:c:s2214804322000738
    DOI: 10.1016/j.socec.2022.101899
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    References listed on IDEAS

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    More about this item

    Keywords

    Guilt; Cooperation; Prisoners’ dilemma; Finite horizon;
    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
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

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