Seeking Nash Equilibrium in Non-Cooperative Differential Games

This paper aims at investigating the problem of fast convergence to Nash equilibrium (NE) for N-Player noncooperative differential games. The proposed method is such that players attain their NE point without steady-state oscillation (SSO) by measuring only payoff values with no information about functions, model and also actions other are not required players. based on an extremum seeking (ES) method, moreover, compared traditional ES approaches, in presented algorithm, can accomplish faster. In fact, our amplitude sinusoidal excitation signal classical adaptively updated exponentially converges zero. addition, analysis provided this paper. Finally, a simulation example confirms effectiveness method.