Differential equations of input–output balance: digitization and the prospect of application

Author:

Toroptsev Evgeniy L.1ORCID,Kandokhova Marianna M.2,Gudieva Natalia G.3

Affiliation:

1. North Caucasus Federal University, Stavropol

2. Kabardino-Balkar State University, Nalchik

3. Scientific and educational mathematical center “North-Caucasus Center for Mathematical Research”, Stavropol

Abstract

Impacts on the structure of the economy are efforts aimed at changing its properties. These efforts can be used to solve various tasks, for example, for technological renewal, economic diversification, etc. One of the main goals of structural reforms in the Russian economy will remain for a long time a purposeful synthesis of such its own/internal/structural dynamic properties that, in the absence of resource constraints or even with minimally sufficient resources, would ensure self-sustaining aperiodic economic growth and smoothing business cycles. An analysis of publications on this issue over the past 20 years indicates an increase in activity in different countries aimed at finding new solutions for the formation and implementation of structural policies. The uneven development and general uncertainty of recent times have expanded the range of these countries and multiplied approaches to the development of structural policies. In this regard, we note the growing relevance of creating new tools and methods for analyzing the effectiveness of such a policy. This is reinforced by the fact that even the implementation of minimal structural policy measures based on proven approaches and solutions is fraught with miscalculations and mistakes. The responsibilities of the management circuit include an adequate response to errors, drawing conclusions from them and correcting economic behavior, up to the complete cessation of certain measures and programs. For the study of economic systems, the best possible tools are differential equations and methods of their analysis. We turn to the dynamic model of input-output balance, formalized by such equations, the author's method of its digitization and the theory of its own dynamic properties of economic systems. The purpose of the work is to improve the tools for analyzing structural policy based on the independent application of this input-output model, as well as by including it in large research computing complexes being developed at the CEMI RAS, IEF RAS and other large scientific centers. The aim of the study is to adapt the dynamic input-output balance for the analysis of structural policy. The result of the work: the author's instrumental approach, which was not previously used for the development and analysis of structural policy.

Publisher

RPO for the Promotion of Institutes DE RAS

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