1 citations · 1 across the 9 of their papers we have counts for
9 papers
Fast Strategy Solving for the Informed Player in Two-Player Zero-Sum Linear-Quadratic Differential Games with One-Sided Information
Mukesh Ghimire, Zhe Xu, Yi Ren
We study finite-horizon two-player zero-sum differential games with one-sided payoff information (), where the informed player (P1) knows the game payoff, while P2 only has a pu…
Parametric Value Approximation for General-sum Differential Games with State Constraints
Lei Zhang, Mukesh Ghimire, Wenlong Zhang +2
General-sum differential games can approximate values solved by Hamilton-Jacobi-Isaacs (HJI) equations for efficient inference when information is incomplete. However, solving such…
Two-Player Zero-Sum Differential Games with One-Sided Information
Mukesh Ghimire, Zhe Xu, Yi Ren
Unlike Poker where the action space is discrete, differential games in the physical world often have continuous action spaces not amenable to discrete abstraction, re…
Solving Football by Exploiting Equilibrium Structure of 2p0s Differential Games with One-Sided Information
Mukesh Ghimire, Lei Zhang, Zhe Xu +1
For a two-player imperfect-information extensive-form game (IIEFG) with time steps and a player action space of size , the game tree complexity is , causing existing…
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…