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

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An Erratum to this article was published on 14 December 2016

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Abstract

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.

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  • 14 December 2016

    An erratum to this article has been published.

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Acknowledgements

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

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, and Institute of Mathematics and Computer Sciences, Ural Federal University, S. Kovalevskaya str., 16, Ekaterinburg, Russia, 620990

    Sergey S. Kumkov & Valerii S. Patsko

  2. Airbus Group/MBDA France, 1 Avenue Reaumur, 92358, Le Plessis Robinson Cedex, France

    Stéphane Le Ménec

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  1. Sergey S. Kumkov
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  2. Stéphane Le Ménec
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  3. Valerii S. Patsko
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Correspondence to Sergey S. Kumkov.

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An erratum to this article is available at https://doi.org/10.1007/s13235-016-0210-6.

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Kumkov, S.S., Le Ménec, S. & Patsko, V.S. Zero-Sum Pursuit-Evasion Differential Games with Many Objects: Survey of Publications. Dyn Games Appl 7, 609–633 (2017). https://doi.org/10.1007/s13235-016-0209-z

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