Geodesic
On some problems in geometric games theory
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 8, pp. 131-137

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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 $\mathbb R^n$, (2) a closed interval, (3) a polyhedral, and the strategy set of the other player is an arbitrary convex set. 
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     author = {L. Yu. Blazhennova-Mikulich},
     title = {On some problems in geometric games theory},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {131--137},
     publisher = {mathdoc},
     volume = {11},
     number = {8},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_8_a6/}
}
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L. Yu. Blazhennova-Mikulich. On some problems in geometric games theory. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 8, pp. 131-137. http://geodesic.mathdoc.fr/item/FPM_2005_11_8_a6/