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Evolution of co-operation among mobile agents with different influence

Author

Listed:
  • Wang, Zhen
  • Chen, Tianyi
  • Wang, Xingpu
  • Jin, Jiuwu
  • Li, Mingchu

Abstract

Co-operation is a key factor in understanding the evolution of our society. Inspired by this issue, the individual mobility in game theory has been proved to be a very useful scenario. However, it is not realistic, as described in previous studies, that each agent has the same influence on its neighbour’s movement trait. In this work, we mainly focus on the weighted influence on the mobility of agents in the prisoner’s dilemma game. Here the weight is proportional to its degree with power exponent of λ, where λ is the adjustable parameter to control the level of heterogeneity among individuals in the network. Through numerous simulations we find that co-operation level is promoted when the heterogeneous influence factor is considered. In particular, there is an intermediate value λopt≈10 to guarantee the optimal evolution of co-operation. Moreover, we also prove that the effect of influence weight on the enhancement of co-operation is only valid when the agent’s interaction radius is within a threshold value. We thus present a viable method of understanding the ubiquitous co-operative behaviour in nature and hope that it will inspire further studies to resolve social dilemmas.

Suggested Citation

  • Wang, Zhen & Chen, Tianyi & Wang, Xingpu & Jin, Jiuwu & Li, Mingchu, 2013. "Evolution of co-operation among mobile agents with different influence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4655-4662.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:19:p:4655-4662
    DOI: 10.1016/j.physa.2013.03.017
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    Citations

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    Cited by:

    1. 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).
    2. Zhao, Xiaowei & Xia, Haoxiang, 2023. "Information accuracy of migration and imitation influences the evolution of cooperation in spatial prisoner's dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    3. Li, Bing & Zhao, Xiaowei & Xia, Haoxiang, 2019. "Promotion of cooperation by Hybrid Migration mechanisms in the Spatial Prisoner’s Dilemma Game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 1-8.
    4. Yang, Yixin & Pan, Qiuhui & He, Mingfeng, 2023. "The influence of environment-based autonomous mobility on the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    5. Li, Yan & Ye, Hang, 2015. "Effect of migration based on strategy and cost on the evolution of cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 156-165.
    6. Cui, Guang-Hai & Wang, Zhen & Yang, Yan-Cun & Tian, Sheng-Wen & Yue, Jun, 2018. "Heterogeneous game resource distributions promote cooperation in spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1191-1200.
    7. Cui, Guang-Hai & Li, Ming-Chu & Fan, Xin-Xin & Deonauth, Nakema & Wang, Zhen, 2014. "Optimism when winning and cautiousness when losing promote cooperation in the spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 408(C), pages 181-189.
    8. Li, Yan & Ye, Hang & Zhang, Hong, 2016. "Evolution of cooperation driven by social-welfare-based migration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 48-56.
    9. Presbitero, Alva & Monterola, Christopher, 2018. "Challenging the evolution of social cooperation in a community governed by central control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 378-388.
    10. Zhang, Lan & Huang, Changwei & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2021. "Effects of directional migration for pursuit of profitable circumstances in evolutionary games," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    11. Zhang, Lan & Pan, Jianchen & Huang, Changwei, 2023. "Effect of mixed random and directional migration on cooperation in the spatial prisoner’s dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

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