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The evolutionary public goods game model with punishment mechanism in an activity-driven network

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  • Han, Dun
  • Yan, Shuting
  • Li, Dandan

Abstract

Considering the ‘antisocial punishment’ and ‘second-order free-riding’ mechanisms, we propose a public goods game model with a punishment mechanism in an activity-driven network. Simulation results show that the maximal fine of punishment has a greater impact on defectors’ strategies than it does on cooperators’ strategies. That is, as the maximal fine of punishment increases, the final density of cooperators fluctuates within a small interval. Interestingly, when the initial density of cooperators is large, leading to a low density of final cooperators. In contrast, when the initial density of cooperators is small, the final cooperative density is relative large. In addition, when the maximal cost of punishment is sufficiently small, the difference between the final density of cooperators, defectors, punishing cooperators, and punishing defectors is not obvious. However, if the maximal cost of punishment exceeds a certain threshold, the density of punishing cooperators is less than that of cooperators. Meanwhile, the density of punishing defectors is greater than that of defectors.

Suggested Citation

  • Han, Dun & Yan, Shuting & Li, Dandan, 2019. "The evolutionary public goods game model with punishment mechanism in an activity-driven network," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 254-259.
    • Handle: RePEc:eee:chsofr:v:123:y:2019:i:c:p:254-259
    DOI: 10.1016/j.chaos.2019.04.015
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    References listed on IDEAS

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    4. Wang, Qun & Wang, Hanchen & Zhang, Zhuxi & Li, Yumeng & Liu, Yu & Perc, Matjaž, 2018. "Heterogeneous investments promote cooperation in evolutionary public goods games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 570-575.
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    Cited by:

    1. Zhang, Peipei & Li, Dandan, 2023. "A generalized public goods game model based on Nash bargaining," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    2. Han, Dun & He, Youxin, 2023. "The impact of labor subsidy, taxation and corruption on individual behavior," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    3. Wang, Mengyao & Pan, Qiuhui & He, Mingfeng, 2020. "The interplay of behaviors and attitudes in public goods game considering environmental investment," Applied Mathematics and Computation, Elsevier, vol. 382(C).
    4. Wang, Chaoqian & Huang, Chaochao, 2022. "Between local and global strategy updating in public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    5. Zeng, Ziyan & Li, Yuhan & Feng, Minyu, 2022. "The spatial inheritance enhances cooperation in weak prisoner’s dilemmas with agents’ exponential lifespan," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    6. Li, Dandan & Sun, Xiaoxiao & He, Youxin & Han, Dun, 2022. "On prisoner’s dilemma game with psychological bias and memory learning," Applied Mathematics and Computation, Elsevier, vol. 433(C).

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