论文标题
合作足球差异游戏中的障碍表面
The Barrier Surface in the Cooperative Football Differential Game
论文作者
论文摘要
本文考虑了阻塞或足球追求射击差异游戏。两名追随者合作，试图从球门线中尽可能地捕获携带逃避的球。逃避者希望在捕获时尽可能接近目标线，并在可能的情况下到达线路。在本文中，提供了同类游戏的解决方案：将状态空间划分为两个获胜套装的障碍表面，一个用于追随者团队，另一个用于逃避者。在最佳比赛中，获胜团队是通过评估相关的屏障功能来决定的。
This paper considers the blocking or football pursuit-evasion differential game. Two pursuers cooperate and try to capture the ball carrying evader as far as possible from the goal line. The evader wishes to be as close as possible to the goal line at the time of capture and, if possible, reach the line. In this paper the solution of the game of kind is provided: The Barrier surface that partitions the state space into two winning sets, one for the pursuer team and one for the evader, is constructed. Under optimal play, the winning team is determined by evaluating the associated Barrier function.
