文章基本信息

标题：Deterministic equations for stochastic spatial evolutionary games
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作者：Hwang, Sung-Ha ; Katsoulakis, Markos ; Rey-Bellet, Luc 等
期刊名称：Theoretical Economics
印刷版ISSN：1555-7561
出版年度：2013
卷号：8
期号：3
出版社：Econometric Society
摘要：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.
关键词：Evolutionary games; mean-field interactions; deterministic approximation; Kac potentials; pattern formation; traveling wave solutions