Mathematical Models for Calculating the Development Dynamics in the Era of Digital Economy

Mathematical models for practical calculations of technological progress (total productivity of production factors) and economic growth in the era of widespread digitalization and robotization of national economies, where the main factor of production is technological information, are developed and verified. For this purpose, models using different modes of information production are proposed for the first time. It is shown that the economic effect of the digitalization of an economy will not come immediately, but with a lag of about eight years. For the US economy, forecast calculations show that this will happen in 2022–2026 with total productivity increasing by 1.1 percentage points up to 2.5% per year.