Actual Problems of
Economics and Law




DOI: 10.21202/1993-047X.11.2017.2.100-113

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Authors :
1. Sergey B. Kuznetsov, PhD (Physics and Mathematics), Associate Professor
Siberian Institute of Management of the Russian Academy of Economy and State Service

Modeling of similar economies

Objective: to obtain dimensionless criteria – economic indices characterizing the national economy and not depending on its size.

Methods: mathematical modeling, theory of dimensions, processing statistical data.

Results: basing on differential equations describing the national economy with the account of economical environment resistance, two dimensionless criteria are obtained, which allow to compare economies regardless of their sizes. With the theory of dimensions we show that the obtained indices are not accidental. We demonstrate the implementation of the obtained dimensionless criteria for the analysis of behavior of certain countries’ economies.

Scientific novelty: the dimensionless criteria are obtained – economic indices which allow to compare economies regardless of their sizes and to analyze the dynamic changes in the economies with time.


Practical significance: the obtained results can be used for dynamic and comparative analysis of different countries’ economies regardless of their sizes.

Keywords :

Mathematical and instrumental methods in economics; Economical environment resistance; Renewable production factors; Investment; Economic indicator

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Citation :

Kuznetsov S. B. Modeling of similar economies, Actual Problems of Economics and Law, 2017, vol. 11, No. 2, pp. 100–113 (in Russ.). DOI: http://dx.doi.org/10.21202/1993-047X.11.2017.2.100-113

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