On a generalized Berge strong equilibrium
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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 equilibriumfor the game G with acyclic values. Also, we have demonstrated by examples that our new approach is useful to produce generalized Berge strong equilibria.
Abstract
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 equilibriumfor the game G with acyclic values. Also, we have demonstrated by examples that our new approach is useful to produce generalized Berge strong equilibria.
참고문헌 (16)
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