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Conditional neutral punishment promotes cooperation in the spatial prisoner's dilemma game

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  • Song, Qun
  • Cao, Zhaoheng
  • Tao, Rui
  • Jiang, Wei
  • Liu, Chen
  • Liu, Jinzhuo

Abstract

Punishment plays an important role in promoting cooperation. In real society, individuals tend to punish other players based on certain conditions rather than punish them directly. Thus, we introduce a conditional neutral punishment mechanism and study how this mechanism affects the evolution of cooperation. Namely, an individual can punish his/her neighbors with the opposite strategy when his/her payoff is lower than the average payoff of his/her neighbors. The simulation results show that this mechanism promotes cooperation effectively even with antisocial punishment. By adopting such a mechanism, cooperative punishers form shields to protect cooperators inside, while defective punishers hide behind defectors without punishing anyone.

Suggested Citation

  • Song, Qun & Cao, Zhaoheng & Tao, Rui & Jiang, Wei & Liu, Chen & Liu, Jinzhuo, 2020. "Conditional neutral punishment promotes cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 368(C).
    • Handle: RePEc:eee:apmaco:v:368:y:2020:i:c:s0096300319307908
    DOI: 10.1016/j.amc.2019.124798
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    Cited by:

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    2. 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).
    3. Feng, Sinan & Liu, Xuesong, 2023. "Effects of the limited incentive pool on cooperation evolution in public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
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    5. Deng, Zheng-Hong & Wang, Zi-Ren & Wang, Huan-Bo & Xu, Lin, 2021. "The evolution of cooperation in multi-games with popularity-driven fitness calculation," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    6. Gao, Liyan & Pan, Qiuhui & He, Mingfeng, 2021. "Effects of defensive cooperation strategy on the evolution of cooperation in social dilemma," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    7. Quan, Ji & Yu, Junyu & Li, Xia & Wang, Xianjia, 2023. "Conditional switching between social excluders and loners promotes cooperation in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    8. Lu, Shounan & Dai, Jianhua & Zhu, Ge & Guo, Li, 2023. "Investigating the effectiveness of interaction-efficiency-driven strategy updating under progressive-interaction for the evolution of the prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    9. Lu, Shounan & Zhu, Ge & Dai, Jianhua, 2023. "Promoting effect of adaptive interaction based on random neighbors to cooperation in the spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 450(C).
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    11. Feng, Sinan & Liu, Xuesong, 2024. "Effects of three-faced strategy on the evolution of cooperation in social dilemma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 639(C).
    12. Locodi, A.M. & O’Riordan, C., 2023. "The effects of varying game payoffs and lattice dimensionality on Prisoner’s Dilemma games," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).

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