Mathematical modeling of social and psychological potentials of the management team in the conditions of innovative introductions

The current issue of the organized consultation practice is a selection of the managers that are efficient in learning new professional purviews during the introduction of innovations. The research of the existing problem is based on complex program of psychological advanced audit of V.G. Gryazeva-Dobshynskaya, who's one of the main subjects is identification of the command and role structure of enterprises management (technique of R.M. Belbin "Roles in the teamwork"). 155 managers of enterprises took part in the research. The research revealed that identification of potential development of the management team might be based on the methods of mathematical modeling correlation of activity tendency, aimed at modifications or preservation of the organization functioning parameters. Functioning model of the self-developing biological systems by V. Volterra was adapted to model the potential of development innovative activity of the management team. The optimum point model of the training impact (the balance point) in the process of further education of leadership competencies was built as a result of mathematical data modeling psychological diagnosis of team roles differentiation. On the basis of mathematical modeling of social and psychological potentials of a team one can build a differentiated educational programs of command and role-playing leadership competencies for different groups of managers. This increases the efficiency of innovative management consulting organizations and optimization of cost organizations for staff training under the circumstances of innovative introductions.