Scientific and methodological apparatus for describing the dynamics of digital technology development

The relevance of the research is due to the recently adopted series of institutional documents at the state level providing for the digitalization of the Russian national economy, and the lack of a scientific and methodological framework for describing the dynamics of digital technologies, which in these institutional documents are given a priority role in achieving the national goal of technological leadership in Russia. The purpose of the research is to create a special scientific and methodological apparatus for describing the dynamics of digital technology development, relevant to economics and its field of technology economics. The methods of the theory of sustainable economic and industrial development, probability theory and mathematical statistics, methods of system analysis, and differential calculus are used. As a result of the research, a new scientific and methodological framework is proposed that is adequate to the economic content of the processes of digital technology development dynamics caused by the movement of digital technologies at increasing levels of their readiness (maturity). It is shown that the dynamics of digital technology development has two independent components, namely: translational and probabilistic. The progressive part of the development of digital technologies describes the reduction in labor and capital costs resulting from an increase in the availability of each technology. The probabilistic part of the development of digital technologies reflects random delays in the development process, depending on external conditions. The combined consideration of the impact of both components of the development of digital technologies contributes to improving the organizational and economic manageability of technological innovation development processes and improving the economic and mathematical tools for forecasting scientific and technological progress. 

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