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Cooperation and popularity in spatial games

Author

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  • Zhang, Hai-Feng
  • Jin, Zhen
  • Wang, Zhen

Abstract

Selection of the competition opponent is crucial for the evolution of cooperation in evolutionary games. In this work, we introduce a simple rule, incorporating individual popularity via the single parameter α, to study how the selection of the potential strategy sources influences individual behavior traits. For positive α players with high popularity will be considered more likely, while for negative α the opposite holds. Setting α equal to zero returns the frequently adopted random selection of the opponent. We find that positive α (namely, adopting the strategy from a more popular player) promotes the emergence of cooperation, which is robust against different interaction networks and game classes. The essence of this boosting effect can be attributed to the fact: increasing α accelerates the microscopic organization of cooperator clusters to resist the exploitation of defectors. Moreover, we also demonstrated that the introduction of a new mechanism alters the impact of uncertainty by strategy adoption on the evolution of cooperation. We thus present a viable method of understanding the ubiquitous cooperative behaviors in nature and hope that it will inspire further studies to resolve social dilemmas.

Suggested Citation

  • Zhang, Hai-Feng & Jin, Zhen & Wang, Zhen, 2014. "Cooperation and popularity in spatial games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 86-94.
  • Handle: RePEc:eee:phsmap:v:414:y:2014:i:c:p:86-94
    DOI: 10.1016/j.physa.2014.07.013
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    Citations

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    Cited by:

    1. Wu, Yu’e & Zhang, Zhipeng & Chang, Shuhua, 2017. "Effect of self-interaction on the evolution of cooperation in complex topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 191-197.
    2. Yang Wang & Binghong Wang, 2015. "Evolution of Cooperation on Spatial Network with Limited Resource," PLOS ONE, Public Library of Science, vol. 10(8), pages 1-9, August.
    3. Deng, Zhenghong & Wang, Shengnan & Gu, Zhiyang & Xu, Juwei & Song, Qun, 2017. "Heterogeneous preference selection promotes cooperation in spatial prisoners’ dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 100(C), pages 20-23.
    4. Liang, Rizhou & Zhang, Jiqiang & Zheng, Guozhong & Chen, Li, 2021. "Social hierarchy promotes the cooperation prevalence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    5. Lu, Peng & Wang, Fang, 2015. "Heterogeneity of inferring reputation probability in cooperative behaviors for the spatial prisoners’ dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 367-378.
    6. Jia, Danyang & Shen, Chen & Guo, Hao & Chu, Chen & Lu, Jun & Shi, Lei, 2018. "The impact of loners’ participation willingness on cooperation in voluntary prisoner's dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 218-223.
    7. Li, Shulan & Hong, Lijun & Geng, Yini & Shen, Chen, 2020. "Popularity-driven fitness calculation promotes cooperation in spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    8. Chang, Shuhua & Zhang, Zhipeng & Wu, Yu’e & Xie, Yunya, 2018. "Cooperation is enhanced by inhomogeneous inertia in spatial prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 419-425.
    9. Liao, Hui-Min & Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Guo, Ning & Ling, Xiang, 2023. "Cooperative evolution under the joint influence of local popularity and global popularity," Applied Mathematics and Computation, Elsevier, vol. 439(C).
    10. Shuhua Chang & Xinyu Wang & Alexander Shananin, 2015. "Modeling and Computation of Mean Field Equilibria in Producers' Game with Emission Permits Trading," Papers 1506.04869, arXiv.org.
    11. Deng, Xinyang & Zhang, Zhipeng & Deng, Yong & Liu, Qi & Chang, Shuhua, 2016. "Self-adaptive win-stay-lose-shift reference selection mechanism promotes cooperation on a square lattice," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 322-331.
    12. Lu, Peng, 2015. "Learn good from bad: Effects of good and bad neighbors in spatial prisoners’ dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 351-358.
    13. Lu, Peng, 2015. "Imitating winner or sympathizing loser? Quadratic effects on cooperative behavior in prisoners’ dilemma games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 327-337.
    14. Zhang, Shuhua & Zhang, Zhipeng & Wu, Yu’e & Yan, Ming & Li, Yu, 2019. "Strategy preference promotes cooperation in spatial evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 181-188.
    15. Huang, Shasha & Luo, Dang, 2015. "Impact of separation of interaction and replacement neighborhoods on spatial reciprocity," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 318-323.
    16. Peng Lu & Xiaoping Zheng, 2015. "Social Stratification and Cooperative Behavior in Spatial Prisoners' Dilemma Games," PLOS ONE, Public Library of Science, vol. 10(7), pages 1-16, July.

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