In this manuscript we formulate the general Target–Attacker–Defender differential game of degree in both its continuous-time and discrete-time turn-based variants in n-dimensional euclidean space. In this three-agent engagement, the Attackers goal is to get as close as possible to the Target before collision with the Defender, whilst the Target and Defender coordinate to achieve the opposite. The most general setting for this zero-sum differential game is considered, where the agents move at speeds not necessarily equal, and the Nash equilibrium strategies are proven in the discrete-time turn-based variant.

中文翻译：

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任意维度上一般目标-攻击者-防御者程度微分博弈的状态反馈纳什均衡

在这份手稿中，我们在 n 维欧几里得空间中的连续时间和离散时间基于回合的变体中制定了一般的目标-攻击者-防御者程度的微分博弈。在这种三代理交战中，攻击者的目标是在与防御者发生碰撞之前尽可能接近目标，而目标和防御者协调以实现相反的目标。考虑了这种零和微分游戏的最一般设置，其中代理以不一定相等的速度移动，并且纳什均衡策略在离散时间基于回合的变体中得到证明。