Operations Research Transactions ›› 2024, Vol. 28 ›› Issue (3): 46-62.doi: 10.15960/j.cnki.issn.1007-6093.2024.03.003

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Group pursuit-evasion differential games

Hongwei GAO1, Binbin MENG2, Jian LIU3, Zhaopeng DAI1,*()   

  1. 1. School of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China
    2. Intelligent Game and Decision Laboratory, National Innovation Institute of Defense Technology, Academy of Military Science, Beijing 100071, China
    3. PLA Naval Submarine Academy, Qingdao 266199, Shandong, China
  • Received:2024-04-10 Online:2024-09-15 Published:2024-09-07
  • Contact: Zhaopeng DAI E-mail:dzpeng@amss.ac.cn

Abstract:

With differential games and classical pursuit-evasion problems as the main focus, this article aims to trace the historical development of group pursuit-evasion differential games. By addressing large-scale group pursuit-evasion issues from the point of mean-field games, the prospects of applying reinforcement learning techniques are elucidated. It proposes exploring solutions to inverse pursuit-evasion differential games, suitable for scenarios such as underwater autonomous vessels, terrestrial robots, and swarms of unmanned aerial vehicles. Diverging from other review papers, it devotes significant attention to the distinctive academic schools of thought in Russia and the former Soviet Union, highlighting their influence in the evolution of this field.

Key words: pursuit-evasion differential games, swarm intelligence games, mean-field games, inverse game theory, reinforcement learning

CLC Number: