Peculiarities if mathematical methods applied to resolution of economic tasks

The article has revealed the philosophic aspect connected with the issue of understanding of how far the mathematical models of economic systems reflect the actual laws, on which the economics is based on. The peculiarities of application of mathematical methods in economic examinations have been specified; the specifics of the economic system as the totality of the managed and managing systems have been revealed; the necessity of development of the number of target functions in the process of establishing the mathematical model applied for specific economic task has been determined. It has been stated that the competitors’ behavior besides the non-linear dependence should be taken into account for modeling the market behavior. The basic economic-mathematical methods of examination used for planning have been presented. The high degree of universal of mathematical methods of modeling has been proven. Additionally, the article has revealed one of the approaches to resolution of economic tasks based on application of new mathematical discipline, the game theory, which resulted in the necessity to apply the theory of probabilities, which subsequently was used in economic researches in the form of a separate method, stochastic modeling.

mathematical methods, economic systems, modeling, rational corporate structures, management of processes, target function, sizes of industrial systems, casual character of factors, likelihood (stochastic) character, target function factors, economic law, theory of games, stochastic programming