Game Theory Methods for Pursuit-Evasion Problems

Abstract

Abstract In this article, two environment modeling methods and two methods are used to solve the pursuit-evasion game problem. It separately introduces several methods based on graph and geometry – all with the same goal of reducing the time for the pursuers to capture all the evaders. Corresponding experiment data and results are also listed. Furthermore, two methods, the differential game theory-based method and decentralization will also be introduced to solve the pursuit-evasion games. These two methods will be discussed under the condition of multiple pursuers and evaders. The number of pursuers is equal to the number of evaders. The experiment results, as well as the difference between the two methods, will be shown specifically in the following chapters.