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Feedback-driven coevolution in finite structured populations.

Chang Sun1, Haiyan Tian1, Yafei Zhang1

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Summary
This summary is machine-generated.

Finite population structure significantly impacts cooperation evolution. Environmental feedback and population dynamics jointly modulate cooperation, revealing complex evolutionary outcomes like oscillations and bistability.

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Area of Science:

  • Evolutionary game theory
  • Population dynamics
  • Social evolution

Background:

  • Cooperation evolution is influenced by population structure.
  • The interplay of population size, topology, and environmental feedback on cooperation remains unclear.

Purpose of the Study:

  • Investigate the coevolution of strategies and environmental feedback in finite structured populations.
  • Analyze how population structure and environmental feedback jointly affect cooperation dynamics.

Main Methods:

  • Utilized an evolutionary game dynamics model.
  • Incorporated environmental feedback mechanisms and pairwise comparison update rules.
  • Performed theoretical analysis and numerical simulations.

Main Results:

  • Observed diverse evolutionary outcomes: periodic oscillations, coexistence of cooperation and defection, and bistability.
  • Confirmed theoretical predictions through numerical simulations.
  • Identified synergistic effects of neighbor number and environmental feedback rates on cooperation evolution and basin stability.

Conclusions:

  • Population structure significantly impacts the evolution of cooperation.
  • Understanding these dynamics is crucial for advancing cooperation research.
  • Environmental feedback and population structure are key modulators of cooperative behaviors.