In the modern conception of economic thought, competition is one of the basic conditions for the functioning of a market economy. Nevertheless,  in today's unstable market environment, competition is not effective. In this context, we believe that cooperation is a factor in ensuring the stability of the economic system. In this context, we believe that cooperation is a factor in ensuring the stability of the economic system. In this connection the article considers the role of competition in development of society and necessity of its transition to a new paradigm of doing business in the rapidly changing conditions of external environment. A mathematical model of coordinated management has been used in order to determine the possible benefits of cooperation between partners in the markets for goods and services. The results of model research are presented from the standpoint of active system theory and the model was obtained with the condition of perfect matching, corresponding with manufacturers’ cooperation. The goal of the research is the study of competitive model of national economy functioning and the identification of promising trends in business activity of economic subjects on the basis of the model of cooperation.