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Co-evolutionary dynamics of threshold PGGs with collective-risk environment feedback

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  • Zhang, Zhipeng
  • Yang, Chen
  • Han, Weiwei
  • Xia, Chengyi

Abstract

At present, the collective-risk dilemma game has recognized the feedback loops between strategies and collective-risk. However, understanding how individual decision-making in complex real-world societies impacts collective-risk, and in turn influences individual strategies through such feedback mechanisms, remains an area that requires further exploration. We consider the co-evolutionary dynamics based on threshold Public Goods Games (PGGs) under collective-risk. First, this co-evolutionary game framework can be divided into two parts: threshold PGGs and the dynamics of collective-risk. The former represents the group dynamics of betrayal and cooperation strategies, while the latter can be seen as the evolutionary dynamics of collective-risk under strategic influences. Next, we examine the presence and stability of possible equilibrium points that could emerge from co-evolutionary dynamics. Subsequently, we introduce the method of manifold control to extend the framework and guide the co-evolutionary dynamics of threshold PGGs to a certain extent. Finally, a particular example is presented to validate the theoretical approaches. In summary, the method of manifold control offers a new perspective for exploring collective cooperation in the context of collective-risk dilemmas.

Suggested Citation

  • Zhang, Zhipeng & Yang, Chen & Han, Weiwei & Xia, Chengyi, 2025. "Co-evolutionary dynamics of threshold PGGs with collective-risk environment feedback," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 658(C).
  • Handle: RePEc:eee:phsmap:v:658:y:2025:i:c:s0378437124007854
    DOI: 10.1016/j.physa.2024.130275
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    as
    1. Levin, Simon & Xepapadeas, Tasos & Crépin, Anne-Sophie & Norberg, Jon & de Zeeuw, Aart & Folke, Carl & Hughes, Terry & Arrow, Kenneth & Barrett, Scott & Daily, Gretchen & Ehrlich, Paul & Kautsky, Nils, 2013. "Social-ecological systems as complex adaptive systems: modeling and policy implications," Environment and Development Economics, Cambridge University Press, vol. 18(2), pages 111-132, April.
    2. Huang, Jiaquan & Zhu, Yuying & Xia, Chengyi & Tanimoto, Jun, 2024. "The effect of nonlinear environmental feedback on the outcomes of evolutionary dynamics," Applied Mathematics and Computation, Elsevier, vol. 483(C).
    3. Yao Meng & Sean P. Cornelius & Yang-Yu Liu & Aming Li, 2024. "Dynamics of collective cooperation under personalised strategy updates," Nature Communications, Nature, vol. 15(1), pages 1-11, December.
    4. 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.
    5. Finkelstein, Amy & McKnight, Robin, 2008. "What did Medicare do? The initial impact of Medicare on mortality and out of pocket medical spending," Journal of Public Economics, Elsevier, vol. 92(7), pages 1644-1668, July.
    6. Banerjee, Abhijit & Duflo, Esther & Qian, Nancy, 2020. "On the road: Access to transportation infrastructure and economic growth in China," Journal of Development Economics, Elsevier, vol. 145(C).
    7. E. A. G. Schuur & A. D. McGuire & C. Schädel & G. Grosse & J. W. Harden & D. J. Hayes & G. Hugelius & C. D. Koven & P. Kuhry & D. M. Lawrence & S. M. Natali & D. Olefeldt & V. E. Romanovsky & K. Schae, 2015. "Climate change and the permafrost carbon feedback," Nature, Nature, vol. 520(7546), pages 171-179, April.
    8. Yang, Luhe & Zhang, Lianzhong, 2021. "Environmental feedback in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    9. Wang, Chaoqian & Szolnoki, Attila, 2023. "Inertia in spatial public goods games under weak selection," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    10. Cheng, Haihui & Meng, Xinzhu, 2023. "Multistability and Hopf bifurcation analysis for a three-strategy evolutionary game with environmental feedback and delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 620(C).
    11. Simon Gachter & Ernst Fehr, 2000. "Cooperation and Punishment in Public Goods Experiments," American Economic Review, American Economic Association, vol. 90(4), pages 980-994, September.
    12. Xu, C. & Hui, P.M., 2023. "Evolution of cooperation in public goods game in populations of dynamic groups of varying sizes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 613(C).
    13. Barrett, Scott, 2013. "Climate treaties and approaching catastrophes," Journal of Environmental Economics and Management, Elsevier, vol. 66(2), pages 235-250.
    14. Yao, Yichao & Pi, Bin & Zeng, Ziyan & Feng, Minyu, 2023. "Protection and improvement of indirect identity cognition on the spatial evolution of cooperation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 620(C).
    15. Karl Sigmund & Hannelore De Silva & Arne Traulsen & Christoph Hauert, 2010. "Social learning promotes institutions for governing the commons," Nature, Nature, vol. 466(7308), pages 861-863, August.
    16. Xiaochen Wang & Lei Zhou & Alex McAvoy & Aming Li, 2023. "Imitation dynamics on networks with incomplete information," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    17. Yang, Jing & Chen, Ya-Shan & Sun, Yichun & Yang, Han-Xin & Liu, Yu, 2018. "Group formation in the spatial public goods game with continuous strategies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 737-743.
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