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Donation of richer individual can support cooperation in spatial voluntary prisoner's dilemma game

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  • Mao, Deming
  • Niu, Zhenxi

Abstract

The compassionate behavior is present throughout the human society, and rich people always could not help having sympathy for poor individual. Inspired by this fact, we consider a donation model to describe the emergency and maintenance of cooperation with voluntary participate in spatial prisoner's dilemma game and we study this model on a square lattice. In detail, when the focal player has the least income in the group which includes his nearest four neighbors and himself, one of his neighbors who has the highest income will donate some proportion of his extra money to him. On the other hand, if focal individual is not the poorest, he will donate some incomes to his poorest neighbor. Through numeric simulation, we conclude that our donation model can promote the evolution of cooperation monotonously. Especially, the larger proportion payoff rich people can contribute, the higher level of cooperation we can get.

Suggested Citation

  • Mao, Deming & Niu, Zhenxi, 2018. "Donation of richer individual can support cooperation in spatial voluntary prisoner's dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 66-70.
    • Handle: RePEc:eee:chsofr:v:108:y:2018:i:c:p:66-70
    DOI: 10.1016/j.chaos.2018.01.014
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    1. repec:hhs:iuiwop:487 is not listed on IDEAS
    2. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, December.
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    Cited by:

    1. Zhang, Lulu & Pan, Qiuhui & He, Mingfeng, 2022. "The influence of donation behavior on the evolution of cooperation in social dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    2. Wang, Jianwei & Xu, Wenshu & Zhang, Xingjian & Zhao, Nianxuan & Yu, Fengyuan, 2023. "Redistribution based on willingness to cooperate promotes cooperation while intensifying equality in heterogeneous populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 610(C).

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