Nestorenko O. Models of price formation in the cluster system (on the example of recreation enterprises)

Object of research - processes of price formation of enterprises, which function in market conditions. The purpose of research is working out of economic-mathematical model of determination of optimal prices for the output of enterprises of cluster formation, which will provide an increase in efficiency of functioning of subjects of economic activities under different conditions in their interaction. Methods of research: methods of financial analysis, methods of optimization and theory of games, methods of statistic analysis, methods of cluster analysis. Theoretical result is the concept of price formation under different variants of interaction of enterprises of cluster formation. Applied value is determined by the working out of complex of economic-mathematical models of price formation of enterprises, whicht work within the cluster formation. Scientific novelty: analytical determination of the point of market balance for an arbitrary quantity of enterprises with different extent of cooperation between them, that provides determination of optimal prices for enterprises of economic system of arbitrary size; for the first time have developed the model of determination of factors of connection between enterprises in conditions of market economy and algorithm of construction of cluster formation, that helps to classify enterprises in cluster economic systems; have further developed model of dependence of optimal quantity of enterprises-suppliers on quantity of enterprises-consumers and feedback between them under different conditions of information distribution, that let increase efficiency of activity of enterprises; have further developed system of models of distribution of marginal profit between enterprises of cluster formation, that gives an opportunity for subjects of economic activity to choose the best variant for themselves of organization of their interaction; have improved the process of determination of optimal borders of cluster economic system, that gives an opportunity to prove the expediency of putting of additional enterprise into cluster with the help of economic-mathematical model. Sphere of use - systems of management of enterprises of sanatoria and health resort sphere.