一类二人微分博弈Nash均衡的本质连通区
Essential Component of Nash Equilibria for a Class of Two-Person Differential Games
DOI: 10.12677/ORF.2021.113031, PDF,    国家自然科学基金支持
作者: 计 伟：贵州建设职业技术学院信息管理学院，贵州 贵阳
关键词: 本质连通区；极小本质集；Nash均衡；上半连续紧映射；Essential Component； Minimal Essential Set； Nash Equilibria； Upper Semi-Continuous with Compact Valued
摘要: 应用集值分析理论，证明了控制系统关于右端函数发生扰动时，一类二人微分博弈问题Nash均衡集存在极小本质集和本质连通区。
Abstract: By employing the set-valued analysis theory, we show that the existence of minimal essential set and essential component for Nash equilibrium point set of against the perturbation of the right-hand side function of control system for a class of two-person differential games.
文章引用：计伟. 一类二人微分博弈Nash均衡的本质连通区[J]. 运筹与模糊学, 2021, 11(3): 268-273. https://doi.org/10.12677/ORF.2021.113031

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