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About this paper
Chen Shen, Zhixue He, Lei Shi, Jun Tanimoto
Incorporating mutation into spatial evolutionary game simulations effectively mitigates finite-size effects, allowing reliable reproduction of large-network dynamics on significantly smaller network sizes. This approach reduces computational costs while accurately preserving phase transitions and strategy diversity.
Key insights
- Mutation maintains strategy diversity by reintroducing strategies that have gone extinct due to finite-size fluctuations.
- Mutation preserves the stability of equilibria, preventing the complete extinction of minority strategies in smaller networks.
- There exists an optimal 'window of mutations' (e.g., 10⁻⁶ < μ < 10⁻³) where the effect is most beneficial, avoiding both insufficient mitigation and excessive randomization.
Summary by alphaXiv.
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