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Group formation in the spatial public goods game with continuous strategies

Author

Listed:
  • Yang, Jing
  • Chen, Ya-Shan
  • Sun, Yichun
  • Yang, Han-Xin
  • Liu, Yu

Abstract

We study group formation in the spatial public goods game with continuous strategies. An active group will become inactive with high (low) probability if the collective contribution is below (above) a threshold value. Meanwhile, an inactive group recovers to be active with some probability. We have found that the cooperation level and the average payoff of players are maximized at moderate values of the threshold and the recovery rate. Spatial distributions of strategies and active groups are plotted to understand the evolution of cooperation.

Suggested Citation

  • Yang, Jing & Chen, Ya-Shan & Sun, Yichun & Yang, Han-Xin & Liu, Yu, 2018. "Group formation in the spatial public goods game with continuous strategies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 737-743.
    • Handle: RePEc:eee:phsmap:v:505:y:2018:i:c:p:737-743
    DOI: 10.1016/j.physa.2018.03.057
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    References listed on IDEAS

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    1. Francisco C. Santos & Marta D. Santos & Jorge M. Pacheco, 2008. "Social diversity promotes the emergence of cooperation in public goods games," Nature, Nature, vol. 454(7201), pages 213-216, July.
    2. Chen, Wei & Wu, Te & Li, Zhiwu & Wang, Long, 2017. "Randomly biased investments and the evolution of public goods on interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 542-550.
    3. Su, Zhen & Li, Lixiang & Xiao, Jinghua & Podobnik, B. & Stanley, H. Eugene, 2018. "Promotion of cooperation induced by two-sided players in prisoner’s dilemma game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 584-590.
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