Example of a Finite Game with No Berge Equilibria at All

Abstract

The problem of the existence of Berge equilibria in the sense of Zhukovskii in normal-form finite games in pure and in mixed strategies is studied. The example of a three-player game that has Berge equilibrium neither in pure, nor in mixed strategies is given.

Keywords

• Berge equilibrium in the sense of Zhukovskii
• finite normal-form game
• best support to strategy