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Diskretnyi Analiz i Issledovanie Operatsii, 2010, Volume 17, Issue 2, Pages 57–78 (Mi da606)  
This article is cited in 5 scientific papers (total in 5 papers)

Solutions of a cooperative differential group pursuit game

Ya. B. Pankratovaab

a Saint-Petersburg State University, Saint-Petersburg, Russia
b International Banking Institute, Saint-Petersburg, Russia
Full-text PDF (337 kB) Citations (5)
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Abstract: In the paper the non-zero sum group pursuit game with $m$ pursuers and one evader is considered. A new approach to finding a solution of this kind of games is proposed. The key point of the paper is to construct а cooperative solution of the game (the core) and compare it with an non-cooperative solutions such as Nash equilibria. We prove that there exists an nonempty time-consistent core in this game. Ill. 3, bibl. 14.
Keywords: group pursuit game, Nash equilibrium, differential cooperative game, core, time-consistency.
Received: 25.05.2009
Revised: 15.01.2010
Bibliographic databases:
Document Type: Article
UDC: 518.9
Language: Russian
Citation: Ya. B. Pankratova, “Solutions of a cooperative differential group pursuit game”, Diskretn. Anal. Issled. Oper., 17:2 (2010), 57–78
Citation in format AMSBIB
\Bibitem{Pan10}
\by Ya.~B.~Pankratova
\paper Solutions of a~cooperative differential group pursuit game
\jour Diskretn. Anal. Issled. Oper.
\yr 2010
\vol 17
\issue 2
\pages 57--78
\mathnet{http://mi.mathnet.ru/da606}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2682090}
\zmath{https://zbmath.org/?q=an:1249.91015}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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