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Individual Strategy Choice in the Repeated Prisoner’s Dilemma

Author

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  • Teresa Backhaus
  • Yves Breitmoser

Abstract

Reanalyzing 12 experiments on the repeated prisoner’s dilemma (PD), we find strong evidence for players’ use of behavior strategies. Starting with unrestricted memory-1 strategies, the most parsimonious non-rejected representation of behavior distinguishes three subject types: defectors, cautious cooperators and strong cooperators. The defectors defect with a high probability in every round. Both cooperating types play semi-grim behavior strategies with different cooperation rates in round 1. This simple three-type mixture fits significantly better than 1046 combinations of (generalized) pure strategies from the literature, which we fitted at the treatment level. Semi-grim behavior strategies fit better than all 1046 mixtures of (generalized) pure strategies even when we use a constant and pre-defined specification, without using free parameters or any kind of post-hoc econometric magic. Furthermore, the resulting type shares correlate with the treatment parameters in a predictable manner, and the strategies themselves are largely predictable thanks to their approximate invariance, but the strategies cannot be rationalized as responses to expected payoffs.

Suggested Citation

  • Teresa Backhaus & Yves Breitmoser, 2022. "Individual Strategy Choice in the Repeated Prisoner’s Dilemma," CRC TR 224 Discussion Paper Series crctr224_2022_341v2, University of Bonn and University of Mannheim, Germany.
  • Handle: RePEc:bon:boncrc:crctr224_2022_341v2
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    File URL: https://www.crctr224.de/research/discussion-papers/archive/dp341
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    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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