Structural inertia of economic systems

Abstract

Systemic inertia forms a transdisciplinary field of studies, which includes interests of natural sciences, technical studies, humanitarian studies, socio-economic studies, etc. Economic science mainly relied on the methods of economic theory and philosophy to analyze this phenomenon. The globality of this subject impeded the formalization of research, and numerical interpretation of inertia were limited to the introduction of a coefficient in an economic and mathematical model. At the same time, the opportunity of getting numerical values of structural inertia in the industry coordinates was provided by basic dynamic input-output balance model, written as a system of basic differential equations. This model’s capital coefficients matrix (according to V. Leontief) is non-singular and can be called the matrix of interindustry inertia. Its elements have time dimensionality. This research presents the methodology for calculating the matrix. Its dimensionality is equal to the dimensionality of the matrix of the formation of the output of goods and services published by ROSSTAT with the interval of two years. This methodology consists of verifiable sequence of algebraic transformations within the input-output methodology with the specified matrix. This research represents the inertia, related to the processes of formation of basic stock, and the inertia of the formation of the gross value added of Russian economy. The high practical importance of the research consists in the development and demonstration of the economic and mathematical apparatus for contrastive analysis of structural dynamic properties of different economies when they are modeled in the coordinates of the same industries.