On suboptimal feedback Nash controls for nonzero-sum differential games

Abstract

Nonzero sum differential games are primarily concerned with control situations evolving over time and are essentially competitive in natural characterized by differential equations where there are N players, each one extremizing his individual payoff function the dynamic situation heing common to all. The Nash equilibrium strategy offers the most secure solution,because, any player is hound to lose by unilaterally deviating from his Nash control, assuming that other players hold fast to their respective Nash controls.