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Replicator dynamics of public goods game with tax-based punishment

Author

Listed:
  • Li, MingYuan
  • Kang, HongWei
  • Sun, XingPing
  • Shen, Yong
  • Chen, QingYi

Abstract

Punishment is a promising direction to cooperation and thus has been widely studied through evolutionary game theory, offering potential solutions to social dilemmas. As one of its applications in the real world, taxation could be a supporting mechanism for punishment. This study analyzes the replicator dynamics of the public goods game with tax-based punishment in an infinitely large, well-mixed population. The analysis results suggest that the combination of punishment and taxation can stabilize cooperation. Intriguingly, the results show that the tax-based punishment and the tax-based pure reward can have the same conditions for stabilizing the same cooperation level despite their completely opposite mechanisms.

Suggested Citation

  • Li, MingYuan & Kang, HongWei & Sun, XingPing & Shen, Yong & Chen, QingYi, 2022. "Replicator dynamics of public goods game with tax-based punishment," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
  • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922009262
    DOI: 10.1016/j.chaos.2022.112747
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Han, Dun & He, Youxin, 2023. "The impact of labor subsidy, taxation and corruption on individual behavior," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    2. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2023. "Group-size dependent synergy in heterogeneous populations," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    3. 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).
    4. Shuo Wang & Zhuang Li & Weidong Li & Hua Jiang, 2022. "Continuous Spatial Public Goods Game Based on Particle Swarm Optimization with Memory Stability," Mathematics, MDPI, vol. 10(23), pages 1-16, December.
    5. 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).
    6. 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).

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