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Twisted strategy may enhance the evolution of cooperation in spatial prisoner’s dilemma

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  • Takahara, Akihiro
  • Sakiyama, Tomoko

Abstract

Many studies of a spatial game theory have been performed to maintain cooperators because defectors tend to survive in a classical spatial game theory; therefore, various models have been proposed. In this study, the abovementioned problem is tackled using the spatial prisoner’s dilemma (SPD) by considering the memory. In the proposed model, all players have a defined memory length related to the strategy update. The strategy for individual players is updated differently from the SPD model only when there are neighboring players whose strategy is the same but whose scores are higher than their own score. Under such conditions, players update to a strategy that is different from the original SPD strategy by considering their own past strategy and by adopting an unlikely strategy. This study is based on the idea of changing own behavior when the situation is not good for players. Consequently, cooperators were easily maintained in the proposed model by forming characteristic spatial patterns. Moreover, the model was unlikely to be affected by a payoff matrix parameter.

Suggested Citation

  • Takahara, Akihiro & Sakiyama, Tomoko, 2023. "Twisted strategy may enhance the evolution of cooperation in spatial prisoner’s dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    • Handle: RePEc:eee:phsmap:v:629:y:2023:i:c:s0378437123007677
    DOI: 10.1016/j.physa.2023.129212
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    References listed on IDEAS

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    1. Sakiyama, Tomoko & Arizono, Ikuo, 2019. "An adaptive replacement of the rule update triggers the cooperative evolution in the Hawk–Dove game," Chaos, Solitons & Fractals, Elsevier, vol. 121(C), pages 59-62.
    2. Christoph Hauert & Michael Doebeli, 2004. "Spatial structure often inhibits the evolution of cooperation in the snowdrift game," Nature, Nature, vol. 428(6983), pages 643-646, April.
    3. Nesrine Ben-Khalifa & Rachid El-Azouzi & Yezekael Hayel, 2018. "Discrete and Continuous Distributed Delays in Replicator Dynamics," Dynamic Games and Applications, Springer, vol. 8(4), pages 713-732, December.
    4. Marco Alberto Javarone, 2016. "Statistical physics of the spatial Prisoner’s Dilemma with memory-aware agents," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(2), pages 1-6, February.
    5. Marco Alberto Javarone, 2016. "Statistical physics of the spatial Prisoner’s Dilemma with memory-aware agents," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(2), pages 1-6, February.
    6. Deng, Zhenghong & Ma, Chunmiao & Mao, Xudong & Wang, Shenglan & Niu, Zhenxi & Gao, Li, 2017. "Historical payoff promotes cooperation in the prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 1-5.
    7. Sakiyama, Tomoko, 2021. "A power law network in an evolutionary hawk–dove game," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
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    Cited by:

    1. Kojo, Ken'ichi & Sakiyama, Tomoko, 2024. "Restructuring of neighborhood definition based on strategies will enhance the cooperation in a spatial prisoner's dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).

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