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Evaluating zero-determinant strategies’ effects on cooperation and conflict resolution in repeated games

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  • El-Salam, Salsabeel M. Abd
  • El-Seidy, Essam
  • Abdel-Malek, Amira R.

Abstract

This paper discusses the importance of using rationality and freedom to serve oneself and cooperate with others. It highlights the possibility of the prisoner’s dilemma as a model for collaboration in a collaborative scenario. It answers the question of how zero-determinant strategies can be used to impose a one-sided linear reward relationship between a player’s payoff and his opponent’s payoff. Researchers focus on manipulative zero-determinant strategies and their impact on evolutionary gaming outcomes in large populations. In our work, we elicit the necessary and sufficient conditions for an actionable reward relationship in multi-player social dilemmas with a limited number of expected rounds. The study explores the concept of rewarded relationships and their role in achieving desired results. We provide insights into strategies players can use to maximize their gains in these dilemmas. In general, the study emphasizes the importance of using game theory to address complex problems in various fields.

Suggested Citation

  • El-Salam, Salsabeel M. Abd & El-Seidy, Essam & Abdel-Malek, Amira R., 2023. "Evaluating zero-determinant strategies’ effects on cooperation and conflict resolution in repeated games," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    • Handle: RePEc:eee:chsofr:v:174:y:2023:i:c:s096007792300680x
    DOI: 10.1016/j.chaos.2023.113779
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    References listed on IDEAS

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    1. EL-Seidy, Essam & Elshobaky, Entisarat.M. & Soliman, Karim.M., 2016. "Two population three-player prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 277(C), pages 44-53.
    2. Jin-Li Guo, 2014. "Zero-determinant strategies in iterated multi-strategy games," Papers 1409.1786, arXiv.org, revised Sep 2014.
    3. Song, Shenpeng & Feng, Yuhao & Xu, Wenzhe & Li, Hui-Jia & Wang, Zhen, 2022. "Evolutionary prisoner’s dilemma game on signed networks based on structural balance theory," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
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    5. El-Seidy, Essam & Soliman, Karim.M., 2016. "Iterated symmetric three-player prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 117-127.
    6. Guilherme Carmona, 2013. "Existence and Stability of Nash Equilibrium," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8406, January.
    7. Taha, Mohammad A. & Ghoneim, Ayman, 2020. "Zero-determinant strategies in repeated asymmetric games," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    8. Christoph Adami & Arend Hintze, 2013. "Evolutionary instability of zero-determinant strategies demonstrates that winning is not everything," Nature Communications, Nature, vol. 4(1), pages 1-8, October.
    9. Pu-yan Nie & Takashi Matsuhisa & X. Henry Wang & Pei-ai Zhang, 2014. "Game Theory and Applications in Economics," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-2, May.
    10. M.C. Boerlijst & M.A. Nowak & K. Sigmund, 1997. "Equal Pay for all Prisoners/ The Logic of Contrition," Working Papers ir97073, International Institute for Applied Systems Analysis.
    11. Taha, Mohammad A. & Ghoneim, Ayman, 2021. "Zero-determinant strategies in infinitely repeated three-player prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    Full references (including those not matched with items on IDEAS)

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