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Evolutionary games with environmental feedbacks

Author

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  • Andrew R. Tilman

    (University of Pennsylvania)

  • Joshua B. Plotkin

    (University of Pennsylvania)

  • Erol Akçay

    (University of Pennsylvania)

Abstract

Strategic interactions arise in all domains of life. This form of competition often plays out in dynamically changing environments. The strategies employed in a population may alter the state of the environment, which may in turn feedback to change the incentive structure of strategic interactions. Feedbacks between strategies and the environment are common in social-ecological systems, evolutionary-ecological systems, and even psychological-economic systems. Here we develop a framework of ‘eco-evolutionary game theory’ that enables the study of strategic and environmental dynamics with feedbacks. We consider environments governed either by intrinsic growth, decay, or tipping points. We show how the joint dynamics of strategies and the environment depend on the incentives for individuals to lead or follow behavioral changes, and on the relative speed of environmental versus strategic change. Our analysis unites dynamical phenomena that occur in settings as diverse as human decision-making, plant nutrient acquisition, and resource harvesting. We discuss implications in fields ranging from ecology to economics.

Suggested Citation

  • Andrew R. Tilman & Joshua B. Plotkin & Erol Akçay, 2020. "Evolutionary games with environmental feedbacks," Nature Communications, Nature, vol. 11(1), pages 1-11, December.
  • Handle: RePEc:nat:natcom:v:11:y:2020:i:1:d:10.1038_s41467-020-14531-6
    DOI: 10.1038/s41467-020-14531-6
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    Citations

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    Cited by:

    1. David Carfí & Alessia Donato, 2021. "Environmental Management through Coopetitive Urban Waste Recycling in Eco-Industrial Parks," Mathematics, MDPI, vol. 9(19), pages 1-30, October.
    2. Zhang, Liming & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2022. "Migration based on environment comparison promotes cooperation in evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 595(C).
    3. Ding, Rui & Wang, Xianjia & Liu, Yang & Zhao, Jinhua & Gu, Cuiling, 2023. "Evolutionary games with environmental feedbacks under an external incentive mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    4. Chengyi Tu & Paolo DOdorico & Zhe Li & Samir Suweis, 2021. "The emergence of cooperation from shared goals in the Systemic Sustainability Game of common pool resources," Papers 2110.00474, arXiv.org.
    5. Thomas Graham & Maria Kleshnina & Jerzy A. Filar, 2023. "Where Do Mistakes Lead? A Survey of Games with Incompetent Players," Dynamic Games and Applications, Springer, vol. 13(1), pages 231-264, March.
    6. George Loginov, 2022. "Cyclical behavior of evolutionary dynamics in coordination games with changing payoffs," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(1), pages 1-27, March.
    7. Patricio Valdivieso & Pablo Neudorfer & Krister P. Andersson, 2021. "Causes and Consequences of Local Government Efforts to Reduce Risk and Adapt to Extreme Weather Events: Municipal Organizational Robustness," Sustainability, MDPI, vol. 13(14), pages 1-43, July.
    8. Kevin Hu & Feng Fu, 2021. "Evolutionary Dynamics of Gig Economy Labor Strategies under Technology, Policy and Market Influence," Games, MDPI, vol. 12(2), pages 1-31, June.
    9. Tian-Jiao Feng & Jie Mei & Rui-Wu Wang & Sabin Lessard & Yi Tao & Xiu-Deng Zheng, 2022. "Noise-Induced Quasi-Heteroclinic Cycle in a Rock–Paper–Scissors Game with Random Payoffs," Dynamic Games and Applications, Springer, vol. 12(4), pages 1280-1292, December.
    10. Zhao, Zhengwu & Zhang, Chunyan, 2023. "The mechanisms of labor division from the perspective of task urgency and game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    11. Margarita Ignatyeva & Vera Yurak & Oksana Logvinenko, 2020. "A New Look at the Natural Capital Concept: Approaches, Structure, and Evaluation Procedure," Sustainability, MDPI, vol. 12(21), pages 1-21, November.
    12. Zhang, Liming & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2022. "Adaptive persistence based on environment comparison enhances cooperation in evolutionary games," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    13. Li, Bin-Quan & Wu, Zhi-Xi & Guan, Jian-Yue, 2022. "Alternating rotation of coordinated and anti-coordinated action due to environmental feedback and noise," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    14. Meng, Xueyu & Cai, Zhiqiang & Si, Shubin & Duan, Dongli, 2021. "Analysis of epidemic vaccination strategies on heterogeneous networks: Based on SEIRV model and evolutionary game," Applied Mathematics and Computation, Elsevier, vol. 403(C).
    15. Xinmin Liu & Kangkang Lin & Lei Wang & Hongkun Zhang, 2021. "Stochastic Evolutionary Game Analysis Between Special Committees and CEO: Incentive and Supervision," Dynamic Games and Applications, Springer, vol. 11(3), pages 538-555, September.
    16. Di, Changyan & Zhou, Qingguo & Shen, Jun & Wang, Jinqiang & Zhou, Rui & Wang, Tianyi, 2023. "The coupling effect between the environment and strategies drives the emergence of group cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    17. Ma, Xiaojian & Quan, Ji & Wang, Xianjia, 2023. "Evolution of cooperation with nonlinear environment feedback in repeated public goods game," Applied Mathematics and Computation, Elsevier, vol. 452(C).
    18. Yang, Luhe & Zhang, Lianzhong, 2021. "Environmental feedback in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    19. Cheng, Haihui & Meng, Xinzhu & Hayat, Tasawar & Hobiny, Aatef, 2023. "Multistability and bifurcation analysis for a three-strategy game system with public goods feedback and discrete delays," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    20. Chaitanya S. Gokhale & Marcus Frean & Paul B. Rainey, 2023. "Eco-evolutionary Logic of Mutualisms," Dynamic Games and Applications, Springer, vol. 13(4), pages 1066-1087, December.
    21. Yan, Fang & Hou, Xiaorong & Tian, Tingting & Chen, Xiaojie, 2023. "Nonlinear model reference adaptive control approach for governance of the commons in a feedback-evolving game," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    22. Hao, Xinyu & Liu, Guangfu & Zhang, Xiaoling & Dong, Liang, 2022. "The coevolution mechanism of stakeholder strategies in the recycled resources industry innovation ecosystem: the view of evolutionary game theory," Technological Forecasting and Social Change, Elsevier, vol. 179(C).
    23. Maria Kleshnina & Christian Hilbe & Štěpán Šimsa & Krishnendu Chatterjee & Martin A. Nowak, 2023. "The effect of environmental information on evolution of cooperation in stochastic games," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    24. Pastor, Alejandro & Nuño, Juan Carlos & Olarrea, José & de Vicente, Javier, 2020. "Enabling stable coexistence by modifying the environment," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    25. Wang, Chao & Feng, Tian-jiao & Gao, Yan & Tao, Yi & Li, Cong, 2023. "Evolutionary stability in an eco-evolutionary game dynamics with density dependence," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).

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