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Learning Nash Equilibrial Hamiltonian for Two-Player Collision-Avoiding Interactions
Lei Zhang, Siddharth Das, Tanner Merry +2
We consider the problem of learning Nash equilibrial policies for two-player risk-sensitive collision-avoiding interactions. Solving the Hamilton-Jacobi-Isaacs equations of such ge…
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…
Safe MPC Alignment with Human Directional Feedback
Zhixian Xie, Wenlong Zhang, Yi Ren +3
In safety-critical robot planning or control, manually specifying safety constraints or learning them from demonstrations can be challenging. In this article, we propose a certifia…
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…