Modeling the fight of clans in power hierarchy

The work is devoted to the construction and study of the mathematical model "Power-Society", taking into account the presence of bureaucratic clans in the hierarchy. The concept of a clan is formalized, a five-point hierarchy with two five-point clans is considered. The model has the form of a system of dynamic equations with discrete time. The research of the model solutions depending on the parameters and initial conditions is carried out. The results of numerical experiments show that the presence of clans, due to their lust for power, is able to increase power not only among the officials of the clan, but also in other instances.