Communications of the
Korean Mathematical Society CKMS

In this paper, we first introduce a generalized concept of Berge strong equilibrium for a generalized game $\mathcal G = (X_i; T_i, f_i)_{i\in I}$ 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 $\mathcal G$ with acyclic values. Also, we have demonstrated by examples that our new approach is useful to produce generalized Berge strong equilibria.

Keywords: generalized Berge strong equilibrium, Nash equilibrium, acyclic, admissible

MSC numbers: 47H10, 91A10