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Evolution of cooperation through adaptive interaction in a spatial prisoner’s dilemma game

Author

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  • Pan, Qiuhui
  • Liu, Xuesong
  • Bao, Honglin
  • Su, Yu
  • He, Mingfeng

Abstract

In this paper, we study the effect of adaptive interaction on the evolution of cooperation in a spatial prisoner’s dilemma game. The connections of players are co-evolutionary with cooperation; whether adjacent players can play the prisoner’s dilemma game is associated with the strategies they took in the preceding round. If a player defected in the preceding round, his neighbors will refuse to play the prisoner’s dilemma game with him in accordance with a certain probability distribution. We use the disconnecting strength to represent this probability. We discuss the evolution of cooperation with different values of temptation to defect, sucker’s payoff and disconnecting strength. The simulation results show that cooperation can be significantly enhanced through increasing the value of the disconnecting strength. In addition, the increase in disconnecting strength can improve the cooperators’ ability to resist the increase in temptation and the decrease in reward. We study the parameter ranges for three different evolutionary results: cooperators extinction, defectors extinction, cooperator and defector co-existence. Meanwhile, we recruited volunteers and designed a human behavioral experiment to verify the theoretical simulation results. The punishment of disconnection has a positive effect on cooperation. A higher disconnecting strength will enhance cooperation more significantly. Our research findings reveal some significant insights into efficient mechanisms of the evolution of cooperation.

Suggested Citation

  • Pan, Qiuhui & Liu, Xuesong & Bao, Honglin & Su, Yu & He, Mingfeng, 2018. "Evolution of cooperation through adaptive interaction in a spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 571-581.
    • Handle: RePEc:eee:phsmap:v:492:y:2018:i:c:p:571-581
    DOI: 10.1016/j.physa.2017.09.046
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    Cited by:

    1. Sun, Jiaqin & Fan, Ruguo & Luo, Ming & Zhang, Yingqing & Dong, Lili, 2018. "The evolution of cooperation in spatial prisoner’s dilemma game with dynamic relationship-based preferential learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 598-611.
    2. Wang, Mengyao & Pan, Qiuhui & He, Mingfeng, 2020. "The effect of individual attitude on cooperation in social dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
    3. Dui, Hongyan & Meng, Xueyu & Xiao, Hui & Guo, Jianjun, 2020. "Analysis of the cascading failure for scale-free networks based on a multi-strategy evolutionary game," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    4. Qi Wang & Shuo Wang & Si Fu, 2023. "A Sustainable Iterative Product Design Method Based on Considering User Needs from Online Reviews," Sustainability, MDPI, vol. 15(7), pages 1-16, March.

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