On a Generalized Berge Strong Equilibrium

In this paper, we first introduce a generalized concept of Berge strong equilibrium for a generalized game G = (Xi; Ti, fi)i∈I of normal form, and using a fixed point theorem for compact acyclic maps in admissible convex sets, we establish the existence theorem of generalized Berge strong equilibrium for the game G with acyclic values. Also, we have demonstrated by examples that our new approach is useful to produce generalized Berge strong equilibria.