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Stochastic Heterogeneous Interaction Promotes Cooperation in Spatial Prisoner's Dilemma Game

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  • Ping Zhu
  • Guiyi Wei

Abstract

Previous studies mostly investigate player's cooperative behavior as affected by game time-scale or individual diversity. In this paper, by involving both time-scale and diversity simultaneously, we explore the effect of stochastic heterogeneous interaction. In our model, the occurrence of game interaction between each pair of linked player obeys a random probability, which is further described by certain distributions. Simulations on a 4-neighbor square lattice show that the cooperation level is remarkably promoted when stochastic heterogeneous interaction is considered. The results are then explained by investigating the mean payoffs, the mean boundary payoffs and the transition probabilities between cooperators and defectors. We also show some typical snapshots and evolution time series of the system. Finally, the 8-neighbor square lattice and BA scale-free network results indicate that the stochastic heterogeneous interaction can be robust against different network topologies. Our work may sharpen the understanding of the joint effect of game time-scale and individual diversity on spatial games.

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  • Ping Zhu & Guiyi Wei, 2014. "Stochastic Heterogeneous Interaction Promotes Cooperation in Spatial Prisoner's Dilemma Game," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-10, April.
    • Handle: RePEc:plo:pone00:0095169
    DOI: 10.1371/journal.pone.0095169
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    References listed on IDEAS

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    1. Li, Jing & Wang, Jiang, 2018. "Locality based wealth rule favors cooperation in costly public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 1-7.
    2. Xuzhen Zhu & Xin Su & Jinming Ma & Hui Tian & RunRan Liu, 2019. "Evolutionary Cooperation in Networked Public Goods Game with Dependency Groups," Complexity, Hindawi, vol. 2019, pages 1-8, October.
    3. Deng, Zhenghong & Huang, Yijie & Gu, Zhiyang & Deng, Zhilong & Xu, Jiwei, 2018. "The evolution of cooperation in spatial multigame with voluntary participation," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 41-46.
    4. Li, Jiaqi & Zhang, Jianlei & Liu, Qun, 2024. "Spatial game with multiple interaction patterns in constrained interaction environment: A computational method based on opponent’s ability," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

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