FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 8, PAGES 131-137

**On some problems in geometric games theory**

L. Ju. Blazhennova-Mikulich

Abstract

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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 $$**R**^{n},
(2) a closed interval, (3) a polyhedral, and the
strategy set of the other player is an arbitrary convex set.

Location: http://mech.math.msu.su/~fpm/eng/k05/k058/k05806h.htm

Last modified: April 5, 2006