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Combined effect of pure punishment and reward in the public goods game

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  • Sun, Xingping
  • Li, Mingyuan
  • Kang, Hongwei
  • Shen, Yong
  • Chen, Qingyi

Abstract

The evolution of cooperation in public goods games based on the evolutionary game theory has been widely studied to obtain potential solutions to social dilemmas. In addition, as the main factors of human cooperation, reward and punishment have also been widely studied. In this paper, the manipulators are introduced into the game. It is assumed that manipulators both reward cooperators and punish pure defectors, but do not contribute to the common pool. The evolution of manipulators with cooperators and defectors is analyzed on a square lattice. The results show that the combination of pure punishment and reward is effective in maintaining cooperation. Moreover, for any synergy factor, there is a wide range of parameters that allow for the coexistence of manipulators and cooperators.

Suggested Citation

  • Sun, Xingping & Li, Mingyuan & Kang, Hongwei & Shen, Yong & Chen, Qingyi, 2023. "Combined effect of pure punishment and reward in the public goods game," Applied Mathematics and Computation, Elsevier, vol. 445(C).
    • Handle: RePEc:eee:apmaco:v:445:y:2023:i:c:s009630032300022x
    DOI: 10.1016/j.amc.2023.127853
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    References listed on IDEAS

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    2. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2024. "Supporting punishment via taxation in a structured population," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    3. Zhang, Qianwei & Tang, Rui & Lu, Yilun & Wang, Xinyu, 2024. "The impact of anxiety on cooperative behavior: A network evolutionary game theory approach," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    4. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2023. "Restoring spatial cooperation with myopic agents in a three-strategy social dilemma," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    5. Shen, Yong & Lei, Wei & Kang, Hongwei & Li, Mingyuan & Sun, Xingping & Chen, Qingyi, 2023. "Evolutionary dynamics of public goods game with tax-based rewarding cooperators," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    6. Huang, Chaochao & Wang, Chaoqian, 2024. "Memory-based involution dilemma on square lattices," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    7. Wang, Weijie & Xu, Zhehang & Hua, Shijia & Cui, Longqing & Zhang, Jianlin & Meng, Fanyuan, 2024. "Threshold-initiated spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    8. Kang, Hongwei & Li, Zhekang & Shen, Yong & Huang, Zhiyuan & Sun, Xingping & Chen, Qingyi, 2024. "From eligibility to suitability: Regulation and restriction of reputation-based access system on free-riding behavior in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).

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