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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2020, Volume 12, Issue 4, Pages 7–23 (Mi mgta267)  

This article is cited in 2 scientific papers (total in 2 papers)

A pursuit-evasion differential game with slow pursuers on the edge graph of simplexes. I

Abdulla A. Azamova, Tolanbay T. Ibaydullayevb

a Institute of Mathematics named after V.I. Romanovskii
b Andijan State University
Full-text PDF (427 kB) Citations (2)
References:
Abstract: We consider the differential game between several pursuing points and one evading point moving along the graph of edges of a simplex when maximal quantities of velocities are given. The normalization of the game in the sense of J. von Neumann including the description of classes of admissible strategies is exposed. In the present part of the paper the qualitative problem for the full graph of three dimensional simplex is solved using the strategy of parallel pursuit for a slower pursuer and some numerical coefficient of a simplex characterizing its proximity to the regular one. Next part will be devoted to higher dimensional cases.
Keywords: differential game, game on a graph, pursuit problem, evasion problem, П-strategy, coefficient of regularity of a simplex, full graph.
Received: 05.06.2020
Revised: 01.08.2020
Accepted: 05.12.2020
Document Type: Article
UDC: 517.97
BBC: 22.18
Language: Russian
Citation: Abdulla A. Azamov, Tolanbay T. Ibaydullayev, “A pursuit-evasion differential game with slow pursuers on the edge graph of simplexes. I”, Mat. Teor. Igr Pril., 12:4 (2020), 7–23
Citation in format AMSBIB
\Bibitem{AzaIba20}
\by Abdulla~A.~Azamov, Tolanbay~T.~Ibaydullayev
\paper A pursuit-evasion differential game with slow pursuers on the edge graph of simplexes.~I
\jour Mat. Teor. Igr Pril.
\yr 2020
\vol 12
\issue 4
\pages 7--23
\mathnet{http://mi.mathnet.ru/mgta267}
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  • https://www.mathnet.ru/eng/mgta/v12/i4/p7
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическая теория игр и её приложения
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    References:36
     
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