A New Approach to Noncooperative Games Under Uncertainty

Abstract

The novelty of the approach presented in this paper is that each player of a conflict seeks not only to increase his payoff, but also to reduce his risk, taking into account a possible realization of any uncertainty from a given admissible set. A new concept, the so-called strongly guaranteed Nash equilibrium in payoffs and risks, is introduced and its existence in mixed strategies is proved under standard constraints for noncooperative games, i.e., compact sets of players’ strategies and continuous payoff functions.