Ordering stability of Nash equilibria for a class of differential games

Abstract

This study is concerned with the stability of Nash equilibria for a class of nn-person noncooperative differential games. More precisely, due to a preorder induced by a convex cone on a real linear normed space, we define a new concept called ordering stability of equilibria against the perturbation of the right-hand side functions of state equations for the differential game. Moreover, using the set-valued analysis theory, we present the sufficient conditions of the ordering stability for such differential games.

Keywords

• differential games
• order relation
• stability
• nash equilibrium
• set-valued mapping
• 49l20
• 49n70
• 49n90
• 91a23