IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v174y2023ics096007792300680x.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007792300680X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2023.113779?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Guilherme Carmona, 2013. "Existence and Stability of Nash Equilibrium," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8406, August.
    2. Taha, Mohammad A. & Ghoneim, Ayman, 2020. "Zero-determinant strategies in repeated asymmetric games," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    3. 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.
    4. 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.
    5. 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.
    6. Jin-Li Guo, 2014. "Zero-determinant strategies in iterated multi-strategy games," Papers 1409.1786, arXiv.org, revised Sep 2014.
    7. 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).
    8. Liu, Jie & Li, Y. & Xu, C. & Hui, P.M., 2015. "Evolutionary behavior of generalized zero-determinant strategies in iterated prisoner’s dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 81-92.
    9. 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).
    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. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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).
    2. Kang, Kai & Tian, Jinyan & Zhang, Boyu, 2024. "Cooperation and control in asymmetric repeated games," Applied Mathematics and Computation, Elsevier, vol. 470(C).
    3. Masahiko Ueda & Toshiyuki Tanaka, 2020. "Linear algebraic structure of zero-determinant strategies in repeated games," PLOS ONE, Public Library of Science, vol. 15(4), pages 1-13, April.
    4. Taha, Mohammad A. & Ghoneim, Ayman, 2020. "Zero-determinant strategies in repeated asymmetric games," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    5. Christian Hilbe & Martin A Nowak & Arne Traulsen, 2013. "Adaptive Dynamics of Extortion and Compliance," PLOS ONE, Public Library of Science, vol. 8(11), pages 1-9, November.
    6. Marc Harper & Vincent Knight & Martin Jones & Georgios Koutsovoulos & Nikoleta E Glynatsi & Owen Campbell, 2017. "Reinforcement learning produces dominant strategies for the Iterated Prisoner’s Dilemma," PLOS ONE, Public Library of Science, vol. 12(12), pages 1-33, December.
    7. Christopher Lee & Marc Harper & Dashiell Fryer, 2015. "The Art of War: Beyond Memory-one Strategies in Population Games," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-16, March.
    8. Schimit, P.H.T. & Santos, B.O. & Soares, C.A., 2015. "Evolution of cooperation in Axelrod tournament using cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 204-217.
    9. Kurokawa, Shun, 2019. "How memory cost, switching cost, and payoff non-linearity affect the evolution of persistence," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 174-192.
    10. Amnon Rapoport & Darryl A Seale & Andrew M Colman, 2015. "Is Tit-for-Tat the Answer? On the Conclusions Drawn from Axelrod's Tournaments," PLOS ONE, Public Library of Science, vol. 10(7), pages 1-11, July.
    11. Alexander J. Stewart & Joshua B. Plotkin, 2015. "The Evolvability of Cooperation under Local and Non-Local Mutations," Games, MDPI, vol. 6(3), pages 1-20, July.
    12. Christopher Graser & Takako Fujiwara-Greve & Julian García & Matthijs van Veelen, 2024. "Repeated games with partner choice," Tinbergen Institute Discussion Papers 24-038/I, Tinbergen Institute.
    13. Ma, Jinlong & Wang, Peng & An, Zishuo, 2023. "The influence of layered community network structure on traffic capacity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    14. Misato Inaba & Nobuyuki Takahashi, 2019. "Linkage Based on the Kandori Norm Successfully Sustains Cooperation in Social Dilemmas," Games, MDPI, vol. 10(1), pages 1-15, February.
    15. Fukutomi, Masao & Kurokawa, Shun, 2018. "How much cost should reciprocators pay in order to distinguish the opponent's cooperation from the opponent's defection?," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 301-314.
    16. Masahiko Ueda, 2022. "Controlling Conditional Expectations by Zero-Determinant Strategies," SN Operations Research Forum, Springer, vol. 3(3), pages 1-22, September.
    17. Nikoleta E. Glynatsi & Vincent A. Knight, 2021. "A bibliometric study of research topics, collaboration, and centrality in the iterated prisoner’s dilemma," Palgrave Communications, Palgrave Macmillan, vol. 8(1), pages 1-12, December.
    18. Zhang, Yifan & Shu, Gang & Li, Ya, 2017. "Strategy-updating depending on local environment enhances cooperation in prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 301(C), pages 224-232.
    19. Yali Dong & Cong Li & Yi Tao & Boyu Zhang, 2015. "Evolution of Conformity in Social Dilemmas," PLOS ONE, Public Library of Science, vol. 10(9), pages 1-12, September.
    20. Gao, Meng & Li, Zhi & Wu, Te, 2023. "Evolutionary dynamics of friendship-driven reputation strategies," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:174:y:2023:i:c:s096007792300680x. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.