State-Constrained Zero-Sum Differential Games with One-Sided Information

arXiv:2403.02741v1 Announce Type: cross
Abstract: 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 player (Player 2). The goal of Player 1 is to minimize his payoff without violating the constraints, while that of Player 2 is to either violate the state constraints, or otherwise, to maximize the payoff. One example of the game is a man-to-man matchup in football. Without state constraints, …

abstract arxiv categorical constraints cs.gt cs.lg differential games information state study type