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Stochastic win-stay-lose-learn promotes cooperation in the spatial public goods game

Author

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  • Ming-Jian Fu

    (College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, P. R. China2Key Laboratory of Intelligent Metro of Universities in Fujian, Fuzhou University, Fuzhou, 350116, P. R. China)

  • Han-Xin Yang

    (Department of Physics, Fuzhou University, Fuzhou 350116, P. R. China4Center for Discrete Mathematics, Fuzhou University, Fujian 350003, P. R. China)

Abstract

In this paper, we propose a stochastic win-stay-lose-learn in which an individual is more likely to imitate one of its nearest neighbor’s strategy if its aspiration is not achieved. The results on the spatial public good game show that the cooperation can be greatly enhanced when the aspiration is moderate. Besides, we have studied the time evolution of the spatial distribution of strategies and the probability that cooperators and defectors choose to learn respectively.

Suggested Citation

  • Ming-Jian Fu & Han-Xin Yang, 2018. "Stochastic win-stay-lose-learn promotes cooperation in the spatial public goods game," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(04), pages 1-8, April.
    • Handle: RePEc:wsi:ijmpcx:v:29:y:2018:i:04:n:s0129183118500341
    DOI: 10.1142/S0129183118500341
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    Citations

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    Cited by:

    1. Hu, Xiang & Liu, Xingwen & Zhou, Xiaobing, 2022. "A proportional-neighborhood-diversity evolution in snowdrift game on square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    2. Hu, Xiang & Liu, Xingwen, 2021. "Unfixed-neighbor-mechanism promotes cooperation in evolutionary snowdrift game on lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    3. Shu, Feng, 2020. "A win-switch-lose-stay strategy promotes cooperation in the evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
    4. 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).
    5. 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).
    6. Feng, Kehuan & Han, Songlin & Feng, Minyu & Szolnoki, Attila, 2024. "An evolutionary game with reputation-based imitation-mutation dynamics," Applied Mathematics and Computation, Elsevier, vol. 472(C).
    7. Shi, Zhenyu & Wei, Wei & Feng, Xiangnan & Zhang, Ruizhi & Zheng, Zhiming, 2021. "Effects of dynamic-Win-Stay-Lose-Learn model with voluntary participation in social dilemma," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

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