Revisiting a Three-Player Pursuit-Evasion Game
研究了两个完整约束的追捕者与一个完整约束的逃跑者之间的博弈,给出了博弈类型的详细解法,并提出了一种通过积分逆向路径方程高效数值求解轨迹的方法,同时提出了计算价值函数偏导数的方法。
Abstract We consider the game of a holonomic evader passing between two holonomic pursuers. The optimal trajectories of this game are known. We give a detailed explanation of the game of kind’s solution and present a computationally efficient way to obtain trajectories numerically by integrating the retrograde path equations. Additionally, we propose a method for calculating the partial derivatives of the Value function in the game of degree. This latter result applies to differential games with homogeneous Value.