A mixed Nash equilibrium solution for visibility-based pursuit-evasion game with multiple obstacles  

作　　者：Shaoming BU Li LIANG Youqing WANG 

机构地区：[1]College of Information Science and Technology,Beijing University of Chemical Technology,Beijing 100029,China

出　　处：《Science China(Information Sciences)》2024年第9期326-328,共3页中国科学（信息科学）（英文版）

基　　金：supported in part by National Key Research and Development Program of China(Grant No.2022ZD0119701);in part by National Natural Science Foundation of China(Grant No.62103045);in part by Fundamental Research Funds for the Central Universities(Grant No.buctrc202228)。

摘　　要：This study primarily investigates a visibility-based pursuitevasion game with multiple obstacles.The pursuer aims to maintain surveillance over the evader as long as possible,while the evader's objective is to escape the pursuer's surveillance as quickly as possible.We use the explicit strategy method to analyze the winning conditions and optimal strategy of the player in the case of corner obstacles and propose a'Present-Future-Past'(PFP)loop structure to extend the strategy to the case of multiple obstacles.

关 键 词：PURSUIT EQUILIBRIUM MAINTAIN 

分 类 号：O225[理学—运筹学与控制论] TP242[理学—数学]