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Journal of Automation and Information Sciences
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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v32.i12.10
pages 1-11

Some Constructions of Extension of Game Problems with Information Discrimination

Alexander G. Chentsov
N.N. Krasovsky Institute of Mathematics and Mechanics Ural Branch of Russian Academy of Sciences Ural Federal University Ekaterinburg, Russia
Dmitriy V. Khlopin
the Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia

ABSTRACT

The extension of game's problem on maximin is constructed, in which one of the players − participants chooses a set from the given family, and the other selects an element from the specified set. The construction of extension uses embedding family of sets in compact space with Hausdorff metrics. The property having sense of stability of a generalized game problem with perturbation of criterion of quality is established. The applications to game problems of program control used in constructions of solution of differential games are considered.