Dynamic Games and Applications

, Volume 7, Issue 4, pp 609–633 | Cite as

Zero-Sum Pursuit-Evasion Differential Games with Many Objects: Survey of Publications

  • Sergey S. KumkovEmail author
  • Stéphane Le Ménec
  • Valerii S. Patsko


If a pursuit game with many persons can be formalized in the framework of zero-sum differential games, then general methods can be applied to solve it. But difficulties arise connected with very high dimension of the phase vector when there are too many objects. Just due to this problem, special formulations and methods have been elaborated for conflict interaction of groups of objects. This paper is a survey of publications and results on group pursuit games.


Differential games Conflict interacting groups of objects Group pursuit problems Constant-bearing method Maximal stable sets 



This work has been partially supported by Russian Foundation for Basic Research, Project No. 15-01-07909.


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Sergey S. Kumkov
    • 1
    Email author
  • Stéphane Le Ménec
    • 2
  • Valerii S. Patsko
    • 1
  1. 1.Krasovskii Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, and Institute of Mathematics and Computer SciencesUral Federal UniversityEkaterinburgRussia
  2. 2.Airbus Group/MBDA FranceLe Plessis Robinson CedexFrance

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