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Effects of directional migration on prisoner’s dilemma game in a square domain

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  • Hongyan Cheng
  • Qionglin Dai
  • Haihong Li
  • Xiaolan Qian
  • Mei Zhang
  • Junzhong Yang

Abstract

We introduce a new migration rule, the directional migration, into evolutionary prisoner’s dilemma games defined in a square domain with periodic boundary conditions. We find that cooperation can be enhanced to a much higher level than the case in the absence of migration. Additionally, the presence of the directional migration has profound impact on the population structure: the directional migration drives individuals to form a number of dense clusters which resembles social cohesion. The evolutionary game theory incorporating the directional migration can reproduce some real characteristics of populations in human society and may shed light on the problem of social cohesion. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Hongyan Cheng & Qionglin Dai & Haihong Li & Xiaolan Qian & Mei Zhang & Junzhong Yang, 2013. "Effects of directional migration on prisoner’s dilemma game in a square domain," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(4), pages 1-6, April.
    • Handle: RePEc:spr:eurphb:v:86:y:2013:i:4:p:1-6:10.1140/epjb/e2013-40076-5
    DOI: 10.1140/epjb/e2013-40076-5
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    Citations

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    Cited by:

    1. Zhang, Kangjie & Cheng, Hongyan, 2016. "Co-evolution of payoff strategy and interaction strategy in prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 439-445.
    2. Gao, Liyan & Pan, Qiuhui & He, Mingfeng, 2022. "Advanced defensive cooperators promote cooperation in the prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    3. Geng, Yini & Liu, Yifan & Lu, Yikang & Shen, Chen & Shi, Lei, 2022. "Reinforcement learning explains various conditional cooperation," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    4. Shilin Xiao & Liming Zhang & Haihong Li & Qionglin Dai & Junzhong Yang, 2022. "Environment-driven migration enhances cooperation in evolutionary public goods games," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(4), pages 1-9, April.
    5. Zhang, Lan & Huang, Changwei & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2021. "Effects of directional migration for pursuit of profitable circumstances in evolutionary games," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    6. Zhang, Lan & Pan, Jianchen & Huang, Changwei, 2023. "Effect of mixed random and directional migration on cooperation in the spatial prisoner’s dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

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    Keywords

    Statistical and Nonlinear Physics;

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