Model of a Two-Level Hierarchical System with Cooperative Behavior of Lower-Level Elements

One of the possible generalizations to the case of many persons of the classical hierarchical Germeier game has been studied. It has been assumed that the lower-level players select one of the weakly efficient points. The maximal guaranteed result of the top-level player has been calculated. Two variants of formulation of the problems: games with and without feedback have been considered.