Deterministic equations for stochastic spatial evolutionary games
推导了积分微分方程作为微观随机更新过程的确定性近似，推广了平均场常微分方程，为分析空间效应对种群演化的影响提供了工具，可识别策略演化的驻波、行波和模式形成等特征。
Spatial evolutionary games model individuals who are distributed in a spatial domain and update their strategies upon playing a normal form game with their neighbors. We derive integro-differential equations as deterministic approximations of the microscopic updating stochastic processes. This generalizes the known mean-field ordinary differential equations and provide a powerful tool to investigate the spatial effects in populations evolution. The deterministic equations allow to identify many interesting features of the evolution of strategy profiles in a population, such as standing and traveling waves, and pattern formation, especially in replicator-type evolutions.