Optimal Intermittent Sensing for Pursuit-Evasion Games

We consider a class of pursuit-evasion differential games in which the evader has continuous access to the pursuer's location, but not vice-versa. There is a remote sensor (e.g., a radar station) that can sense the evader's location upon a request from the pursuer and communicate that sensed location to the pursuer. The pursuer has a budget on the total number of sensing requests. The outcome of the game is determined by the players' sensing and motion strategies. We obtain the equilibrium sensing and motion strategies for the players. We quantify the degradation in the pursuer's pay-off due to its sensing limitations.