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Environmental feedback in spatial public goods game

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  • Yang, Luhe
  • Zhang, Lianzhong

Abstract

We study the evolution of cooperation on a two-dimension square lattice where local common resources are considered changeable depending on the actions of individuals. We build a simple modified model by introducing an exogenous variable on the basis of the traditional public goods game with two classical pure strategies of cooperation (C) and defection (D). In this approach, cooperation can be significantly promoted than that in the traditional model. We make a statistical analysis and discuss the conditions for the emergence and development of cooperation on lattices. We intuitively show in detail the evolutionary process of cooperation in infinite populations. However, it becomes stricter for cooperation to emerge and maintain than in well-mixed populations. Furthermore, we find that defectors still survive even though cooperators can possibly obtain the highest payoffs in a single game. The modified model can be applied in some scenarios with environmental feedback which expands the application of the traditional public goods game.

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  • Yang, Luhe & Zhang, Lianzhong, 2021. "Environmental feedback in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920308778
    DOI: 10.1016/j.chaos.2020.110485
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    3. Wang, Chaoqian & Szolnoki, Attila, 2022. "Involution game with spatio-temporal heterogeneity of social resources," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    4. Lee, Hsuan-Wei & Cleveland, Colin & Szolnoki, Attila, 2023. "Group-size dependent synergy in heterogeneous populations," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    5. 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).
    6. Li, Minlan & Liu, Yan-Ping & Han, Yanyan & Wang, Rui-Wu, 2022. "Environmental heterogeneity unifies the effect of spatial structure on the altruistic cooperation in game-theory paradigms," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    7. Yang, Luhe & Zhang, Lianzhong & Yang, Duoxing, 2022. "Asymmetric micro-dynamics in spatial anonymous public goods game," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    8. Gao, Yan & Li, Minlan & Hu, Yuanyuan & Wang, Rui-Wu & Wang, Chao, 2024. "Evolutionary dynamics in voluntary prisoner’s dilemma game with environmental feedbacks," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    9. Szolnoki, Attila & Chen, Xiaojie, 2022. "Tactical cooperation of defectors in a multi-stage public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
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    12. Zhu, Xiaochen, 2023. "The dynamic edge environment under interactive diversity is a double-edged sword," Applied Mathematics and Computation, Elsevier, vol. 436(C).

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