论文标题
针对依次到达入侵者的目标防御
Target Defense against Sequentially Arriving Intruders
论文作者
论文摘要
我们考虑了目标防御问题的变体，其中任务是捕获一系列入侵者的序列。入侵者的目标是违反目标边界而不会被防守者捕获。一旦当前的入侵者违反了目标或被防御者捕获，下一个入侵者就会出现在目标周围固定圆圈上的随机位置。因此，后卫在当前比赛结束时的最终位置成为其下一场比赛的初始位置。因此，玩家选择对当前和未来游戏都有优势的策略。根据玩家可用的信息，每个游戏分为两个阶段：部分信息和完整信息阶段。根据有关感应和速度功能的一些假设，我们在两个阶段中分析了代理的策略。我们为两个玩家提供了平衡策略，以使用参与表面和捕获圈的概念优化捕获百分比。我们量化了传入入侵者的有限和无限序列的捕获百分比。
We consider a variant of the target defense problem where a single defender is tasked to capture a sequence of incoming intruders. The intruders' objective is to breach the target boundary without being captured by the defender. As soon as the current intruder breaches the target or gets captured by the defender, the next intruder appears at a random location on a fixed circle surrounding the target. Therefore, the defender's final location at the end of the current game becomes its initial location for the next game. Thus, the players pick strategies that are advantageous for the current as well as for the future games. Depending on the information available to the players, each game is divided into two phases: partial information and full information phase. Under some assumptions on the sensing and speed capabilities, we analyze the agents' strategies in both phases. We derive equilibrium strategies for both the players to optimize the capture percentage using the notions of engagement surface and capture circle. We quantify the percentage of capture for both finite and infinite sequences of incoming intruders.
