信息几何与进化博弈论
Information Geometry and Evolutionary Game Theory
摘要:
演化博弈论的沙赫沙哈尼几何被实现为单纯形的信息几何,源自分类概率分布流形的费舍尔信息度量。进化博弈论中的一些基本概念是信息论实现的。结果扩展到Lotka-Volterra方程和多人口系统。
英文摘要:
The Shahshahani geometry of evolutionary game theory is realized as the information geometry of the simplex, deriving from the Fisher information metric of the manifold of categorical probability distributions. Some essential concepts in evolutionary game theory are realized information-theoretically. Results are extended to the Lotka-Volterra equation and to multiple population systems.
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