Modeling and Analysis of Target-Attacker-Defender Game for Variable-Speed Players

In this paper, a problem of target-attacker pursuit game with defender mechanism is studied. On one hand, the model of Target-Attacker-Defender (TAD) is established, and tripartite barrier division with pursuit strategies is constructed by using the theory of qualitative differential game. On the other hand, for the scene where the player's speed changes dynamically, heat maps are used to analyze the implicit relationships between the player's speed and the obstacle area. Simulation results show that, under variable-speed conditions, the barrier-divided dominant region of a player expands with increasing speed. As the dominant region changes, the corresponding strategic region of this player adjusts according to a specific pattern.