3-D Multi-player Pursuit-evasion Game with a Faster Evader

Abstract

This paper studies two kinds of multi-player pursuit-evasion games in 3-D space: Two-pursuer one-evader game and multi-pursuer one-evader game. The main challenges are that the evader has faster speed than a group of pursuers and the moving directions of the pursuers and faster evader are unknown to each other. First, the concept of occupied angle is introduced to represent the dominated spaces by the pursuers. Then, escape algorithm and pursuit algorithm are designed for the evader and pursuers, respectively. Finally, escape condition and capture condition of the faster evader and pursuers are presented. Some simulation examples are given to illustrate the theoretical results.

Intelligent maneuver strategy for hypersonic vehicles in three-player pursuit-evasion games via deep reinforcement learning

“… Weintraub et al (2020) described the pursuit-evasion game with the application in aerospace in detail and Pachter and Wasz (2019) focused on the field of vessels. Zhang et al (2022) , Casini and Garulli (2022) , and Fang et al (2020) studied the three-player game in which the speeds of the two pursuers are greater than, equal to, and less than that of one evader, respectively. Nath and Ghose (2022) and Zhang and Zha (2018) conducted pursuit-evasion game research under certain objectives or constraints in the two-dimensional plane.…”