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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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    1. Benjamin Allen & Gabor Lippner & Yu-Ting Chen & Babak Fotouhi & Naghmeh Momeni & Shing-Tung Yau & Martin A. Nowak, 2017. "Evolutionary dynamics on any population structure," Nature, Nature, vol. 544(7649), pages 227-230, April.
    2. Marco Archetti, 2018. "How to Analyze Models of Nonlinear Public Goods," Games, MDPI, vol. 9(2), pages 1-15, April.
    3. Aming Li & Lei Zhou & Qi Su & Sean P. Cornelius & Yang-Yu Liu & Long Wang & Simon A. Levin, 2020. "Evolution of cooperation on temporal networks," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    4. He, Nanrong & Chen, Xiaojie & Szolnoki, Attila, 2019. "Central governance based on monitoring and reporting solves the collective-risk social dilemma," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 334-341.
    5. Rand, David Gertler & Dreber, Anna & Fudenberg, Drew & Ellingson, Tore & Nowak, Martin A., 2009. "Positive Interactions Promote Public Cooperation," Scholarly Articles 3804483, Harvard University Department of Economics.
    6. Ernst Fehr & Simon Gächter, 2002. "Altruistic punishment in humans," Nature, Nature, vol. 415(6868), pages 137-140, January.
    7. Fernando P. Santos & Francisco C. Santos & Jorge M. Pacheco, 2018. "Social norm complexity and past reputations in the evolution of cooperation," Nature, Nature, vol. 555(7695), pages 242-245, March.
    8. Ernst Fehr & Ivo Schurtenberger, 2018. "Normative foundations of human cooperation," Nature Human Behaviour, Nature, vol. 2(7), pages 458-468, July.
    9. Sun, Chengbin & Luo, Chao, 2020. "Co-evolution of limited resources in the memory-based spatial evolutionary game," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    10. Martin A. Nowak & Akira Sasaki & Christine Taylor & Drew Fudenberg, 2004. "Emergence of cooperation and evolutionary stability in finite populations," Nature, Nature, vol. 428(6983), pages 646-650, April.
    11. Andrew R. Tilman & Joshua B. Plotkin & Erol Akçay, 2020. "Evolutionary games with environmental feedbacks," Nature Communications, Nature, vol. 11(1), pages 1-11, December.
    12. Xiaojie Chen & Attila Szolnoki, 2018. "Punishment and inspection for governing the commons in a feedback-evolving game," PLOS Computational Biology, Public Library of Science, vol. 14(7), pages 1-15, July.
    13. Christian Hilbe & Štěpán Šimsa & Krishnendu Chatterjee & Martin A. Nowak, 2018. "Evolution of cooperation in stochastic games," Nature, Nature, vol. 559(7713), pages 246-249, July.
    14. Gokhale, Chaitanya S. & Hauert, Christoph, 2016. "Eco-evolutionary dynamics of social dilemmas," Theoretical Population Biology, Elsevier, vol. 111(C), pages 28-42.
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    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. Wang, Weijie & Xu, Zhehang & Hua, Shijia & Cui, Longqing & Zhang, Jianlin & Meng, Fanyuan, 2024. "Threshold-initiated spatial public goods games," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    9. 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).
    10. 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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    13. 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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