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Co-evolution of payoff strategy and interaction strategy in prisoner’s dilemma game

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  • Zhang, Kangjie
  • Cheng, Hongyan

Abstract

Co-evolutionary dynamical models, providing a realistic paradigm for investigating complex system, have been extensively studied. In this paper, the co-evolution of payoff strategy and interaction strategy is studied. Starting with an initial Gaussian distribution of payoff strategy r with the mean u and the variance q, we focus on the final distribution of the payoff strategy. We find that final distribution of the payoff strategy may display different structures depending on parameters. In the ranges u<−1 and u>3, the distribution displays a single-peak structure which is symmetric about r=u. The distribution manifests itself as a double-peak structure in the range −1

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:461:y:2016:i:c:p:439-445
    DOI: 10.1016/j.physa.2016.04.045
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    References listed on IDEAS

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    1. Yang, Zhihu & Li, Zhi & Wu, Te & Wang, Long, 2014. "Effects of payoff-related velocity in the co-evolutionary snowdrift game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 304-311.
    2. 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.
    3. A. Szolnoki & M. Perc, 2009. "Promoting cooperation in social dilemmas via simple coevolutionary rules," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 67(3), pages 337-344, February.
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    Cited by:

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