This paper proposes a simple model of duumvirate in the 'powersociety' system. The notion of “defect of power” – the measure of the
efficiency of the hierarchy – is introduced. It is shown that there exists such range of parameters of an hierarchy that the functional of “defect
of power” reaches its minimum. Within this range of parameters a political race of duumvirs can take place, but it will not lead to the political instability.
«power-society» system, duumvirate
Mathematical modelling in actual problems of science and technics