Local stability under evolutionary game dynamics
证明了任何正则演化稳定策略在多种演化博弈动态下都是局部渐近稳定的,为ESS作为局部稳定性的充分条件提供了统一验证。
We prove that any regular ESS is asymptotically stable under any impartial pairwise comparison dynamic, including the Smith dynamic; under any separable excess payoff dynamic, including the BNN dynamic; and under the best response dynamic. Combined with existing results for imitative dynamics, our analysis validates the use of ESS as a blanket sufficient condition for local stability under evolutionary game dynamics.