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.

An algorithm for finding all Berge equilibria in the sense of Zhukovskii in n-person 2-strategy games in pure and mixed strategies is given.