The Mathematical Modeling of Some Mechanisms for Integrating Economic Systems

Анотація

The article substantiates the urgency, and outlines the main directions for solving the most important problems of uniting the territorial communities of Ukraine, which is one of the main elements of the decentralization reform implemented in the country. Within the scope of this topic, there formulated the simplest mathematical models of the processes of integrating economic systems, to conduct a theoretical study of possible mechanisms for integrating economic systems for the purpose of their rational choice. The constructed models present a definite development of well-known mathematical models of economic dynamics and optimal economic growth for the case of the functioning of two economic subsystems that have some common mechanism of redistribution of the produced product between them. It should be noted that this mechanism can be set exogenously or determined as a result of solving the corresponding mathematical problem of optimal control. The described economic and mathematical tools make it possible to analyze, at a qualitative level, various scenarios for the development of an economic system at functioning of certain hypothetical mechanisms of its formation. A numerical and analytical study of the constructed models was carried out, which made it possible to identify possible negative moments in the evolution of the systems under consideration that are a consequence of their unification, for example, the unbalanced development of individual subsystems, the relay nature of the optimal mechanism for their unification, a dramatic change in the results of the unification of economic systems with a slight variation in the parameters of their functioning, etc. A promising direction for the development of the results obtained can be elaborating economic and mathematical methods to solve the problem of determining rational mechanisms for combining economic systems for some typical conditions of their functioning.

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