The mathematical model of the law on the correlation of unique competencies with the emergence of new consumer markets

The article deals with the applied aspects of assessing the influence degree of unique competencies on the process of creating innovative technologies and forming new consumer markets. It also builds the economic model, which demonstrates the presence of this correlation. Paper formulates the law on spiral dependence of the competences level on the emergence of new markets. The authors proposed mathematical instruments based on simulation modeling, which confirms the objectivity of the derived law.