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Impact of punishment on the evolution of cooperation in spatial prisoner’s dilemma game

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  • Geng, Yini
  • Shen, Chen
  • Hu, Kaipeng
  • Shi, Lei

Abstract

The role of punishment in the evolution of cooperation has been disputed for a long time because its effectiveness is challenged by antisocial punishment. Here we introduce neutral punishment, which is executed only if personal payoff is less than the average payoff of neighbors, into spatial prisoner’s dilemma game. In addition, we consider memory length to control the time span of recovery. It is shown that cooperative behavior is remarkably promoted and even dominant with increment of punishment rate and memory length in spite of the high value of temptation. Moreover, we draw a conclusion that this facilitation phenomenon of cooperation is due to heterogeneity of individual fitness coefficient, thus verifying the positive effect of heterogeneity on the evolution of cooperation through network reciprocity.

Suggested Citation

  • Geng, Yini & Shen, Chen & Hu, Kaipeng & Shi, Lei, 2018. "Impact of punishment on the evolution of cooperation in spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 540-545.
    • Handle: RePEc:eee:phsmap:v:503:y:2018:i:c:p:540-545
    DOI: 10.1016/j.physa.2018.03.004
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    Cited by:

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    3. Wang, Qingqing & Du, Chunpeng & Geng, Yini & Shi, Lei, 2020. "Historical payoff can not overcome the vaccination dilemma on Barabási–Albert scale-free networks," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    4. 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).
    5. Shu, Feng & Liu, Yaojun & Liu, Xingwen & Zhou, Xiaobing, 2019. "Memory-based conformity enhances cooperation in social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 480-490.
    6. Bi, Yan & Yang, Hui, 2023. "Based on reputation consistent strategy times promotes cooperation in spatial prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    7. Feng, Sinan & Liu, Xuesong, 2023. "Effects of the limited incentive pool on cooperation evolution in public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    8. Li, Xiaopeng & Sun, Shiwen & Xia, Chengyi, 2019. "Reputation-based adaptive adjustment of link weight among individuals promotes the cooperation in spatial social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 810-820.
    9. Gao, Liyan & Pan, Qiuhui & He, Mingfeng, 2021. "Environmental-based defensive promotes cooperation in the prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    10. Li, Ya & Chen, Shanxiong & Niu, Ben, 2018. "Reward depending on public funds stimulates cooperation in spatial prisoner’s dilemma games," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 38-45.
    11. Huang, Shaoxu & Liu, Xuesong & Hu, Yuhan & Fu, Xiao, 2023. "The influence of aggressive behavior on cooperation evolution in social dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).

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