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Impact of binary social status with hierarchical punishment on the evolution of cooperation in the spatial prisoner’s dilemma game

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  • Xie, Yunya
  • Zhang, Shuhua
  • Zhang, Zhipeng
  • Bu, Hongyu

Abstract

Since ancient times, people have lived in a hierarchical society. In this paper, we consider a simple hierarchical society with disadvantaged group and powerful group(i.e. the binary social status). The ability for powerful group is reflected to be a punisher, and this privilege cannot be imitated by the disadvantaged agent. On this base, the theory of asymmetric evolutionary game with hierarchical punishment is extend. And its impact on the evolution of cooperation is studied. The simulation results show that the hierarchical punishment with square lattices connection can promote the cooperation. Specifically, there is a reverse phenomenon of the cooperation for different social fines with the increasing temptation. Interestingly, the living cooperators survive not only by forming clusters, but also by attaching to the punishers. There is an optimal initial fraction of the powerful group for the excitation of cooperation. The cooperation on the island of powerful agents reveal that the influence range of the punitive right is limited, but the powerful agent squint towards this special right. Taken together, we deeply study the mechanism of the hierarchical punishment to the cooperation. The new recognitions may provide some novel perspectives for engineering better social systems.

Suggested Citation

  • Xie, Yunya & Zhang, Shuhua & Zhang, Zhipeng & Bu, Hongyu, 2020. "Impact of binary social status with hierarchical punishment on the evolution of cooperation in the spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    • Handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303637
    DOI: 10.1016/j.chaos.2019.109422
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    References listed on IDEAS

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    1. List, John A. & Mason, Charles F., 2001. "Optimal Institutional Arrangements for Transboundary Pollutants in a Second-Best World: Evidence from a Differential Game with Asymmetric Players," Journal of Environmental Economics and Management, Elsevier, vol. 42(3), pages 277-296, November.
    2. repec:nas:journl:v:115:y:2018:p:30-35 is not listed on IDEAS
    3. Keke Huang & Tao Wang & Yuan Cheng & Xiaoping Zheng, 2015. "Effect of Heterogeneous Investments on the Evolution of Cooperation in Spatial Public Goods Game," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-10, March.
    4. Veller, Carl & Hayward, Laura K., 2016. "Finite-population evolution with rare mutations in asymmetric games," Journal of Economic Theory, Elsevier, vol. 162(C), pages 93-113.
    5. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, December.
    6. repec:hhs:iuiwop:487 is not listed on IDEAS
    7. Shen, Chen & Li, Xiaoping & Shi, Lei & Deng, Zhenghong, 2017. "Asymmetric evaluation promotes cooperation in network population," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 391-397.
    8. Cheng-Yi Xia & Xiao-Kun Meng & Zhen Wang, 2015. "Heterogeneous Coupling between Interdependent Lattices Promotes the Cooperation in the Prisoner’s Dilemma Game," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-13, June.
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    Cited by:

    1. Gao, Liyan & Pan, Qiuhui & He, Mingfeng, 2021. "Environmental-based defensive promotes cooperation in the prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    2. Zhang, Yao & Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Bi, Yan, 2024. "The influence of the heterogeneities of social institutions and individuals’ tendency to establish social institutions on cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    3. Gao, Liyan & Pan, Qiuhui & He, Mingfeng, 2022. "Advanced defensive cooperators promote cooperation in the prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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