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Evolutionary stability in an eco-evolutionary game dynamics with density dependence

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  • Wang, Chao
  • Feng, Tian-jiao
  • Gao, Yan
  • Tao, Yi
  • Li, Cong

Abstract

Based on the concept of eco-evolutionary game dynamics proposed by Tilman et al. (2020) the dynamical stability and the ecologically evolutionarily stable strategy (eco-ESS) of a simple eco-evolutionary game dynamics with density dependence are investigated. In this model, for simplicity, we assume that only birth rate of individuals depends on the pairwise interactions between individuals and that the payoff matrix is density-dependent. Our main results show clearly that, compared with the condition of ESS in classic evolutionary game dynamics, the condition of the eco-ESS is more stringent in our eco-evolutionary game dynamics.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000425
    DOI: 10.1016/j.chaos.2023.113141
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    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. Andrew R. Tilman & Joshua B. Plotkin & Erol Akçay, 2020. "Evolutionary games with environmental feedbacks," Nature Communications, Nature, vol. 11(1), pages 1-11, December.
    3. Sethi, Rajiv & Somanathan, E, 1996. "The Evolution of Social Norms in Common Property Resource Use," American Economic Review, American Economic Association, vol. 86(4), pages 766-788, September.
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    1. 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).

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