The model of switching mode of reproduction with a continuous set of production subsystems under the conditions of balanced growth

Malkov S.Yu., Rubinstein A.A.
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This paper presents new research results that have been conducted at the Institute of Economics of the Russian Academy of Sciences since 2011 under the leadership of Academician of the Russian Academy of Sciences V. I.Mayevsky. These works are aimed at developing the theory of switching mode of reproduction and corresponding mathematical models, the peculiarity of which is that they explicitly model the interaction of the financial and real sectors of the economy, and the country’s economy itself is not disaggregated according to the sectoral principle (engineering, agriculture, services, etc.), but by production subsystems that differ from each other by the age of the fixed capital. One of the mathematical difficulties of working with such models, called models of switching mode of reproduction (SMR), is the difficulty of modeling competitive relationships between subsystems of different “ages”. Therefore, until now, the interaction of a finite number of production subsystems has been considered in the SMR models, the models themselves were of a discrete-continuous nature, calculations were done exclusively on computers, and obtaining analytical dependencies was difficult. This paper shows that for the special case of balanced economic growth and a continuum of production subsystems, it is possible to obtain analytical expressions that allow a better understanding of the impact of monetary policy on economic dynamics. In addition to purely scientific interest, this is of great practical importance, since it allows us to assess the possible reaction of the real sector of the economy to changes in the monetary sphere without conducting complex simulation calculations.

Keywords: switching reproduction mode, mesoeconomic model, generations of fixed capital, monetary emission, economic growth
Citation in English: Malkov S.Yu., Rubinstein A.A. The model of switching mode of reproduction with a continuous set of production subsystems under the conditions of balanced growth // Computer Research and Modeling, 2025, vol. 17, no. 3, pp. 501-519
Citation in English: Malkov S.Yu., Rubinstein A.A. The model of switching mode of reproduction with a continuous set of production subsystems under the conditions of balanced growth // Computer Research and Modeling, 2025, vol. 17, no. 3, pp. 501-519
DOI: 10.20537/2076-7633-2025-17-3-501-519
URL: http://crm-en.ics.org.ru/journal/article/3626/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

Copyright © 2025 Malkov S.Yu., Rubinstein A.A.

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