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Eco-evolutionary dynamics of multigames with mutations

Author

Listed:
  • Sourav Roy
  • Sayantan Nag Chowdhury
  • Prakash Chandra Mali
  • Matjaž Perc
  • Dibakar Ghosh

Abstract

Most environments favor defection over cooperation due to natural selection. Nonetheless, the emergence of cooperation is omnipresent in many biological, social, and economic systems, quite contrary to the well-celebrated Darwinian theory of evolution. Much research has been devoted to better understanding how and why cooperation persists among self-interested individuals despite their competition for limited resources. Here we go beyond a single social dilemma since individuals usually encounter various social challenges. In particular, we propose and study a mathematical model incorporating both the prisoner’s dilemma and the snowdrift game. We further extend this model by considering ecological signatures like mutation and selfless one-sided contribution of altruist free space. The nonlinear evolutionary dynamics that results from these upgrades offer a broader range of equilibrium outcomes, and it also often favors cooperation over defection. With the help of analytical and numerical calculations, our theoretical model sheds light on the mechanisms that maintain biodiversity, and it helps to explain the evolution of social order in human societies.

Suggested Citation

  • Sourav Roy & Sayantan Nag Chowdhury & Prakash Chandra Mali & Matjaž Perc & Dibakar Ghosh, 2022. "Eco-evolutionary dynamics of multigames with mutations," PLOS ONE, Public Library of Science, vol. 17(8), pages 1-26, August.
    • Handle: RePEc:plo:pone00:0272719
    DOI: 10.1371/journal.pone.0272719
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    References listed on IDEAS

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    1. Zhong, Yi & Wang, Kaihong & Zeng, Siyuan & Ding, Chuan, 2025. "Incentive control of eco-evolutionary dynamics with environmental feedback," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 676(C).
    2. Begum, Saleha & Islam, Md. Refath & Kabir, K.M. Ariful, 2026. "Assessing the social dilemmas in eco-evolutionary dynamics of cooperation, cheating, and resistance under antibiotic pressure," Applied Mathematics and Computation, Elsevier, vol. 513(C).
    3. Sun, Chengbin & de Miguel-Arribas, Alfonso & Wang, Chaoqian & Xia, Haoxiang & Moreno, Yamir, 2025. "Co-evolution of cooperation and resource allocation in the advantageous environment-based spatial multi-game using adaptive control," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
    4. Mishra, Shivam Kumar & Abbas, Syed & Debbouche, Amar, 2026. "Ergodic stationary distribution and extinction of a stochastic eco-epidemiological model with disease in prey," Chaos, Solitons & Fractals, Elsevier, vol. 203(C).
    5. Karmakar, Souvick & Mondal, Nirmalya & Samanta, Guruprasad & Perc, Matjaž, 2025. "Prey-predator dynamics with adaptive hawk-dove strategies," Chaos, Solitons & Fractals, Elsevier, vol. 200(P1).

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