Open-loop nash and stackelberg equilibrium for non-cooperative differential games with pure state constraints.

Abstract

This dissertation deals with the study of non-cooperative di erential games with pure state constraints. We propose a rst order optimality result for the open-loop Nash and Stackelberg equilibriums solutions of an N-player di erential game with pure state constraints. A numerical method to solve for an open-loop Nash equilibrium is discussed. Numerical examples are included to illustrate this method.