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**:** .. / . 28. .: , 2010. .5-23.

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** (.):** hierarchical games, maximum guaranteed result, robustness

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** (.):** In the study of hierarchical games a hypothesis on the behavior of the low-level player is normally accepted. It simplifies sufficiently both the solution of the problem in hand and its reasoning. The adequacy of this hypothesis is discussed below. The simplest two-player game is used to illustrate both the major problems and some approaches to their solution.

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