A differential game of approach with two pursuers and one evader

A differential game of approach with one evader and two pursuers with a nonconvex payoff function is considered. The duration of the game is fixed. The payoff functional is the distance between the object being pursued and the pursuer closest to it when the game terminates. An explicit form of the game value is found for all possible game positions. The paper is closely related to Refs. 1–12.The authors would like to thank Professor A. I. Subbotin for his valuable advice and encouragement.