About the Sugeno integral in bimatrix games

Abstract We consider bimatrix games where the strategies of the players are described by capacities, and the payoffs are determined by the Sugeno integral. In this model we establish when a row or column is never a best reply. We also study a version of Nash equilibrium, called Sugeno-Nash equilibrium, and show its existence. Finally, we characterize the cooperative payoff space of a bimatrix game attainable by capacities defined on the set of all payoff pairs in the bimatrix game.