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Inequity Aversion and Limited Foresight in the Repeated Prisoner’s Dilemma

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  • Teresa Backhaus
  • Yves Breitmoser

Abstract

Reanalyzing 12 experiments on the repeated prisoner’s dilemma (PD), we identify three distinct subject types: defectors, cautious cooperators and strong cooperators. The defectors defect with a high probability in every round. Both cooperating types play semigrim behavior strategies. This simple three-type mixture fits significantly better than any model consisting of combinations of (generalized) pure strategies from the literature, which we fitted at the treatment level (considering 1051 pure-strategy mixtures), even when we use constant specifications of the three types across all experiments. The three best fitting strategies vary slightly across experiments, however. Structurally analyzing these strategies, we find that subjects have limited foresight and subjectively assign utility values to the four states (cc,cd,dc,dd) of the supergame, which relate to the original stage-game payoffs in a manner compatible with inequity aversion. This subjectively transforms the prisoners dilemma game into a coordination game and can reliably explain the strategies used across all 12 experiments and 32 treatments.

Suggested Citation

  • Teresa Backhaus & Yves Breitmoser, 2022. "Inequity Aversion and Limited Foresight in the Repeated Prisoner’s Dilemma," CRC TR 224 Discussion Paper Series crctr224_2022_341, University of Bonn and University of Mannheim, Germany.
  • Handle: RePEc:bon:boncrc:crctr224_2022_341
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    File URL: https://www.crctr224.de/research/discussion-papers/archive/dp341
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    Cited by:

    1. Heller, Yuval & Tubul, Itay, 2023. "Strategies in the repeated prisoner’s dilemma: A cluster analysis," MPRA Paper 117444, University Library of Munich, Germany.
    2. Dvorak, Fabian & Fehrler, Sebastian, 2018. "Negotiating Cooperation under Uncertainty: Communication in Noisy, Indefinitely Repeated Interactions," IZA Discussion Papers 11897, Institute of Labor Economics (IZA).

    More about this item

    Keywords

    Repeated game; Behavior; Tit-for-tat; Mixed strategy; Memory; Belief-free equilibrium; Laboratory experiment;
    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
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

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