Unmanned aerial vehicles (UAVs) have become increasingly prevalent in various domains, ranging from military operations to civilian applications. However, the proliferation of UAVs has also given rise to concerns regarding their potential misuse and security threats. As a result, the search and pursuit of UAVs have become crucial tasks for law enforcement agencies and security organizations. In this paper, we use a game theoretic approach to explore the problem of searching for and pursuing submarines and translate the problem into a UAV search and pursuit problem. Game theory provides a mathematical framework for modeling and analyzing strategic interactions among multiple decision makers. By applying game theoretic principles to the search and pursuit problem, we aim to improve the effectiveness of UAV detection and capture strategies. We begin by formulating the problem as a game, where the UAV represents the evader, and the search and pursuit team represents the pursuers. Each player's objective is to optimize their own utility while considering the actions and strategies of the other players. By leveraging game theory, we can gain insights into the optimal decision-making strategies for both the UAV and the pursuers, leading to improved search and pursuit outcomes and enhanced security in the face of UAV threats.

翻译：无人机（UAV）已在军事行动到民用应用等各个领域日益普及。然而，无人机的广泛应用也引发了对其潜在滥用和安全威胁的担忧。因此，无人机的搜索与追踪已成为执法机构和安全组织的关键任务。本文采用博弈论方法探索潜艇搜索与追踪问题，并将其转化为无人机搜索与追踪问题。博弈论为建模和分析多个决策者之间的战略互动提供了数学框架。通过将博弈论原理应用于搜索与追踪问题，我们旨在提升无人机探测与捕获策略的有效性。我们首先将问题构建为一个博弈，其中无人机代表逃避者，搜索与追踪团队代表追捕者。每个参与者的目标是在考虑其他参与者行动和策略的同时优化自身效用。通过利用博弈论，我们可以洞察无人机与追捕双方的最优决策策略，从而在应对无人机威胁时实现更优的搜索与追踪效果并增强安全保障。