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Fundam. Prikl. Mat., 2005, Volume 11, Issue 8, Pages 131–137 (Mi fpm911)  

This article is cited in 1 scientific paper (total in 1 paper)

On some problems in geometric games theory

L. Yu. Blazhennova-Mikulich

M. V. Lomonosov Moscow State University

Abstract: Several problems of dynamic systems control can be reduced to geometric games. The problem of stabilization is an example. In this paper the criteria of a saddle point in a geometric game is proved under more general conditions than earlier. Algorithms for finding of a saddle point are given in cases where the strategy set of one of the players is (1) a ball in $\mathbb R^n$, (2) a closed interval, (3) a polyhedral, and the strategy set of the other player is an arbitrary convex set.

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English version:
Journal of Mathematical Sciences (New York), 2007, 147:2, 6639–6643

Bibliographic databases:

UDC: 531.396

Citation: L. Yu. Blazhennova-Mikulich, “On some problems in geometric games theory”, Fundam. Prikl. Mat., 11:8 (2005), 131–137; J. Math. Sci., 147:2 (2007), 6639–6643

Citation in format AMSBIB
\Bibitem{Bla05}
\by L.~Yu.~Blazhennova-Mikulich
\paper On some problems in geometric games theory
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 8
\pages 131--137
\mathnet{http://mi.mathnet.ru/fpm911}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2226756}
\zmath{https://zbmath.org/?q=an:1151.91313}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 147
\issue 2
\pages 6639--6643
\crossref{https://doi.org/10.1007/s10958-007-0500-z}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-35548987034}


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    This publication is cited in the following articles:
    1. V. V. Latonov, “Programmed strategies to test the quality of line-of-sight guidance control using video images”, Moscow University Mechanics Bulletin, 73:6 (2018), 135–140  mathnet  crossref  zmath  isi
  • Фундаментальная и прикладная математика
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