1 citations · 1 across the 5 of their papers we have counts for
5 papers
State-Constrained Zero-Sum Differential Games with One-Sided Information
Mukesh Ghimire, Lei Zhang, Zhe Xu +1
We study zero-sum differential games with state constraints and one-sided information, where the informed player (Player 1) has a categorical payoff type unknown to the uninformed…
Pontryagin Neural Operator for Solving Parametric General-Sum Differential Games
Lei Zhang, Mukesh Ghimire, Zhe Xu +2
The values of two-player general-sum differential games are viscosity solutions to Hamilton-Jacobi-Isaacs (HJI) equations. Value and policy approximations for such games suffer fro…
Solving Two-Player General-Sum Games Between Swarms
Mukesh Ghimire, Lei Zhang, Wenlong Zhang +2
Hamilton-Jacobi-Isaacs (HJI) PDEs are the governing equations for the two-player general-sum games. Unlike Reinforcement Learning (RL) methods, which are data-intensive methods for…
Value Approximation for Two-Player General-Sum Differential Games with State Constraints
Lei Zhang, Mukesh Ghimire, Wenlong Zhang +2
Solving Hamilton-Jacobi-Isaacs (HJI) PDEs numerically enables equilibrial feedback control in two-player differential games, yet faces the curse of dimensionality (CoD). While phys…
Approximating Discontinuous Nash Equilibrial Values of Two-Player General-Sum Differential Games
Lei Zhang, Mukesh Ghimire, Wenlong Zhang +2
Finding Nash equilibrial policies for two-player differential games requires solving Hamilton-Jacobi-Isaacs (HJI) PDEs. Self-supervised learning has been used to approximate soluti…