文献类型：期刊文献

英文题名：Optimal strategy analysis for adversarial differential games

作者：Wang, Jiali[1];Jin, Xin[1];Tang, Yang[1]

机构：[1]East China Univ Sci & Technol, Minist Educ, Key Lab Smart Mfg Energy Chem Proc, Shanghai 200237, Peoples R China

年份：2022

卷号：30

期号：10

起止页码：3692

外文期刊名：ELECTRONIC RESEARCH ARCHIVE

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000842880400001)】；

基金：This work was supported by the Key Project of Science and Technology Innovation 2030 (2018AAA0101302) , National Natural Science Foundation of China (Key Program: 62136003) , the Program of Shanghai Academic Research Leader, China (No. 20XD1401300) , the China Postdoctoral Science Foundation (Grant 2021TQ0107) and Shanghai AI Lab.

语种：英文

外文关键词：di ff erential games; pursuit -evasion games; reach -avoid games; capture -the -flag games; optimal strategies; barriers

摘要：Optimal decision-making and winning-regions analysis in adversarial differential games are challenging theoretical problems because of the complex interactions between players. To solve these problems, we present an organized review for pursuit-evasion games, reach-avoid games and capture-the-flag games; we also outline recent developments in three types of games. First, we summarize recent results for pursuit-evasion games and classify them according to different numbers of players. As a special kind of pursuit-evasion games, target-attacker-defender games with an active target are analyzed from the perspectives of different speed ratios for players. Second, the related works for reach-avoid games and capture-the-flag games are compared in terms of analytical methods and geometric methods, respectively. These methods have different effects on the barriers and optimal strategy analysis between players. Future directions for the pursuit-evasion games, reach-avoid games, capture-the-flag games and their applications are discussed in the end.