4 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…
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…
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…