Mixed ¦Ä-perturbation And The Stability Of The Nash Equilibrium And A Promotion Of The Ky Fan Points

This article has mainly studied the the stability of Nash equilibria of n- person non-cooperation general games and the generalized games under the mixedδ-perturbation. On the other hand , we studied the existence of secondary Ky Fan's point and the stability of secondary Ky Fan's point.This article is mainly divided two parts:In the first chapter, based on secondary Ky Fan's point, we proved the existence of secondary Ky Fan's point for functions with no continuty, promoted the Ky Fan inequality theorem; And under the consistent metric topology significance, we studied the stability of secondary Ky Fan's point in the Baire outline's significance, it's said that majority secondary Ky Fan's point was stable. Afterward, we studied the existence of essential components of secondary Ky Fan's point.In the second chapter, we first introduced a concept of strongly essential sets of fixed points under the mixedδ-perturbation mappings 's frame, we show the existence and connectivity of strongly essential sets of fixed points in the mixedδ-perturbation of mappings. As an application, we obtained the existence of essential components and strongly essential components of Nash equilibria under purterbations of both payoffs and strategies or feasible strategies of n- person non-cooperation general games and the generalized games.