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Abstract. In this paper, we present a rnethod for computing Nash equilibria in feedback strategies. This method gives necessary and sufficient conditions to characterize subgame perfect equilibria by means of a system of quasilinear partial ditferential equations. This characterization allows one to know explicitly the solution of the game in sorne cases. In other cases, this approach rnakes a qualitative study easier, We apply this rnethod to nonrenewable resource garnes.

Abstract. We present a method for the characterization of subgameperfect Nash equilibria being Pareto efficient in a class of differential games. For that purpose, we propose a new approach based on new necessary and sufficient conditions for computing subgame-perfect Nash equilibria.