Approximating Discontinuous Nash Equilibrial Values of Two-Player General-Sum Differential Games
Lei Zhang,Mukesh Ghimire,Wenlong Zhang,Zhe Xu,Yi Ren,Lei Zhang,Mukesh Ghimire,Wenlong Zhang,Zhe Xu,Yi Ren
Finding Nash equilibrial policies for two-player differential games requires solving Hamilton-Jacobi-Isaacs (HJI) PDEs. Self-supervised learning has been used to approximate solutions of such PDEs while circumventing the curse of dimensionality. However, this method fails to learn discontinuous PDE solutions due to its sampling nature, leading to poor safety performance of the resulting controller...
