利他扰动与Nash均衡点集的利他稳定性
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引用本文:杨哲,蒲勇健.利他扰动与Nash均衡点集的利他稳定性[J].经济数学,2011,(4):6-10
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作者单位
杨哲,蒲勇健 (重庆大学 经济与工商管理学院,重庆400044) 
中文摘要:引入了一个新的利他扰动.定义了KyFan点集的利他本质集,进一步证明在此扰动下,KyFan点集的利他本质连通区的存在性.证明了满足一定条件的n人非合作博弈中,Nash均衡点集至少存在一个利他本质连通区,而且Nash均衡点集的每一个本质集必是利他稳定集,Nash均衡点集的本质连通区也是利他本质集连通区.
中文关键词:利他扰动  利他稳定性  KyFan点集  Nash均衡点集  本质集  本质连通区  利他稳定集  利他本质连通区
 
Altruistic Perturbation and Altruistic Stability of the Set of Nash Equilibrium Points
Abstract:By introducing a new perturbation, called altruistic perturbation,and a concept of altruistic essential sets of KyFan's points, the existence of altruistic essential component in the perturbation was established.The application shows that for any n-person noncooperative games under some condition, there exists at least one altruistic essential component of the set of Nash equilibria. Each essential set are altruistic stable set, and the essential component of the set of Nash equilibrium points are also altruistic essential component.
keywords:Altruistic perturbation  Altruistic stability  KyFan's points  Nash equilibrium points  Essential set  Essential component  Altruistic stable set  Altruistic essential component
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