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Combination of continuous and binary strategies enhances network reciprocity in a spatial prisoner’s dilemma game

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  • Kishimoto, Noriyuki
  • Kokubo, Satoshi
  • Tanimoto, Jun

Abstract

For 2×2 games, especially the Spatial Prisoner’s Dilemma (SPD), most previous studies have presumed that players can either cooperate (C) or defect (D); this is the so-called discrete strategy. In this paper, we define the continuous-binary strategy instead of the discrete strategy. A systematic series of numerical simulations reports that the continuous-binary strategy enhances the network reciprocity for SPD. This new strategy is based on our previous finding that continuous and mixed strategies shows more robust cooperation than discrete strategy does in boundary games of Chicken and PD (BCH) and Stag Hunt and PD (BSH), respectively. It allows us to combine the advantages of continuous and mixed strategies over the usual discrete strategy into one model.

Suggested Citation

  • Kishimoto, Noriyuki & Kokubo, Satoshi & Tanimoto, Jun, 2013. "Combination of continuous and binary strategies enhances network reciprocity in a spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 83-90.
    • Handle: RePEc:eee:chsofr:v:56:y:2013:i:c:p:83-90
    DOI: 10.1016/j.chaos.2013.07.009
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Li, Cong & Xu, Hedong & Fan, Suohai, 2020. "Synergistic effects of self-optimization and imitation rules on the evolution of cooperation in the investor sharing game," Applied Mathematics and Computation, Elsevier, vol. 370(C).
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    3. Wang, Yadong & Wang, Delu & Shi, Xunpeng, 2021. "Exploring the dilemma of overcapacity governance in China's coal industry: A tripartite evolutionary game model," Resources Policy, Elsevier, vol. 71(C).
    4. Liu, Yandi & Wang, Hexin & Ding, Yi & Yang, Xuan & Dai, Yu, 2022. "Can weak diversity help in propagating cooperation? Invasion of cooperators at the conformity-conflict boundary," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).

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