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Constructing Stategies in the Indefinitely Repeated Prisoner's Dilemma Game

Author

Listed:
  • Yaroslav Rosokha
  • Julian Romero

Abstract

We propose a new approach for running lab experiments on indefinitely repeated games with high continuation probability. This approach has two main advantages. First, it allows us to run multiple long repeated games per session. Second, it allows us to incorporate the strategy method with minimal restrictions on the set of strategies that can be implemented. This gives us insight into what happens in long repeated games and into the types of strategies that subjects use. We report results obtained from the indefinitely repeated prisoner's dilemma with a continuation probability of = :95. We find that during such long repeated prisoner's dilemma games, cooperation drops from the first period of a supergame to the last period of a supergame. When analyzing strategies, we find that subjects rely on strategies similar to those found in the literature on shorter repeated games|specifically Tit-For-Tat, Grim Trigger, and Always Defect. However, we also identify features of strategies that depend on more than just the previous period that are responsible for the drop in cooperation within supergames, but that may be overlooked when using the common strategy frequency estimation approach.

Suggested Citation

  • Yaroslav Rosokha & Julian Romero, 2017. "Constructing Stategies in the Indefinitely Repeated Prisoner's Dilemma Game," Purdue University Economics Working Papers 1298, Purdue University, Department of Economics.
  • Handle: RePEc:pur:prukra:1298
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    Citations

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    Cited by:

    1. Ghidoni, Riccardo & Suetens, Sigrid, 2019. "Empirical Evidence on Repeated Sequential Games," Other publications TiSEM ff3a441f-e196-4e45-ba59-c, Tilburg University, School of Economics and Management.
    2. Werner, Tobias, 2021. "Algorithmic and human collusion," DICE Discussion Papers 372, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
    3. Somayeh Kokabisaghi & Eric J Pauwels & Andre B Dorsman, 2019. "To snipe or not to snipe, that is the question! Transitions in sniping behaviour among competing algorithmic traders," Papers 1912.04012, arXiv.org, revised Sep 2020.
    4. Fabian Dvorak & Sebastian Fehrler, 2024. "Negotiating Cooperation under Uncertainty: Communication in Noisy, Indefinitely Repeated Interactions," American Economic Journal: Microeconomics, American Economic Association, vol. 16(3), pages 232-258, August.
    5. Cason, Timothy N. & Mui, Vai-Lam, 2019. "Individual versus group choices of repeated game strategies: A strategy method approach," Games and Economic Behavior, Elsevier, vol. 114(C), pages 128-145.
    6. James R. Bland, 2020. "Heterogeneous trembles and model selection in the strategy frequency estimation method," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 6(2), pages 113-124, December.
    7. Jiang, Janet Hua & Puzzello, Daniela & Zhang, Cathy, 2021. "How long is forever in the laboratory? Three implementations of an infinite-horizon monetary economy," Journal of Economic Behavior & Organization, Elsevier, vol. 184(C), pages 278-301.
    8. Brocas, Isabelle & Carrillo, Juan & Kodaverdian, Niree, 2017. "Altruism and strategic giving in children and adolescents," CEPR Discussion Papers 12288, C.E.P.R. Discussion Papers.
    9. Bendoly, Elliot & van Wezel, Wout & Bachrach, Daniel G. (ed.), 2015. "The Handbook of Behavioral Operations Management: Social and Psychological Dynamics in Production and Service Settings," OUP Catalogue, Oxford University Press, number 9780199357222.

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