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Environment promotes the evolution of cooperation in spatial voluntary prisoner's dilemma game

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  • Guo, Hao
  • Shen, Chen
  • Dai, Dameng
  • Zhang, Mi
  • Chu, Chen
  • Shi, Lei

Abstract

In reality fitness can be affected by the environment. We explore the evolution of cooperation with the influence of environment on prisoners’ dilemma game with voluntary participation. An individual's fitness is redefined to involve one's own payoff and the average performance of neighbors via preference level u. When u equals zero, the game falls back to its traditional form in which the fitness of an individual simply reflects one's own benefit. When u is larger than 0, the environment plays a role. Numerical simulations show that, for small b, increasing u enables the frequency of cooperation to increase monotonously and even dominate the whole population. For large b, although cooperators are exploited by defectors, the existence of loners protects them from getting wiped out. Finally three strategies start to exhibit cyclic dominance.

Suggested Citation

  • Guo, Hao & Shen, Chen & Dai, Dameng & Zhang, Mi & Chu, Chen & Shi, Lei, 2017. "Environment promotes the evolution of cooperation in spatial voluntary prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 47-53.
    • Handle: RePEc:eee:apmaco:v:315:y:2017:i:c:p:47-53
    DOI: 10.1016/j.amc.2017.07.044
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    References listed on IDEAS

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    8. Gao, Yan & Li, Minlan & Hu, Yuanyuan & Wang, Rui-Wu & Wang, Chao, 2024. "Evolutionary dynamics in voluntary prisoner’s dilemma game with environmental feedbacks," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    9. Wang, Zhen & Zhang, Geng-shun & Ding, Hong & Cui, Guang-Hai & Yao, Ye, 2019. "Strategy imitation behavior driven influence adjustment promotes cooperation in spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    10. Deng, Zheng-Hong & Huang, Yi-Jie & Gu, Zhi-Yang & Liu, Dan & Gao, Li, 2018. "Multigames with voluntary participation on interdependent networks and the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 151-157.
    11. Jinzhuo Liu & Mao Peng & Yunchen Peng & Yong Li & Chen Chu & Xiaoyu Li & Qing Liu, 2021. "Effects of inequality on a spatial evolutionary public goods game," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(8), pages 1-7, August.
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