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.

中文翻译：

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重温三人追逃游戏

我们考虑一个完整的逃避者在两个完整的追求者之间传递的游戏。这个游戏的最佳轨迹是已知的。我们详细解释了类解的博弈，并提出了一种通过对逆行路径方程积分来以数值方式获得轨迹的计算有效方法。此外，我们提出了一种计算度数游戏中价值函数的偏导数的方法。后一个结果适用于具有同质价值的微分博弈。