The article presents the review of labor migration economic theories evolution from the middle of the XIX century, when Ravenstein E.G. founded the modern economic theory of manpower migration in market economy, to the latest ideas of labor migration regularities within New Economic Geography framework by P. Krugman. On the research basis, the conclusion about absence of the uniform theory of labor migration and its moving factors is received. However, the existing theoretical approaches may be used to solve certain social and economic objectives.

In recent years there has been a rapid increase in the use of digital technologies, the role of which is steadily increasing compared to other types of technologies. The growing role of information is changing economic structures in such a way that we can talk about the formation of a new economythe digital economy. The digital economy, according to the policy documents of the European Union "is the result of the widespread use of new information technologies, which affected all sectors of the economy." However, if we apply the methodology of economic theory, the digital economy can be understood as a set of social relations arising from the use of electronic technologies, electronic infrastructure and services, technologies for analyzing large amounts of data and forecasting in order to optimize production, distribution, exchange, consumption and increase the level of socioeconomic development of states. Most of the papers on the sixth technological order formation and the development of Industry 4.0 focus on the study of the impact of the digital economy on the business transformation. The article shows that each technological structure of the economy corresponds to its own management conceptual model of the production and economic system. And, consequently, the formation of the digital economy foundations immanently leads to the evolutionary development of management models in socioeconomic systems, which are insufficiently studied in the available works. The article substantiates the conclusion that in the conditions of the digital economy there will be a transformation of the cost management model to the technology efficiency management model. This means that the main source of economic growth will be not just innovative development, but the search for more effective innovative technologies. In the digital economy, technology will become almost universally available, so the key to success will be new models of digital technology management, allowing for both operational regulation and modeling of future opportunities and threats of the state, business, and every member of society.

In this article, the problem of modeling a time series using the Minimax method is considered. The expediency of using Minimax to identify points of change in trends and the range of changes in the graphical figures of technical analysis is justified. Spline approximation of the dynamic process with range constraints was performed to improve the quality of the model. Investors are advised to refrain from making hasty decisions in favor of holding reliable shares (such as PJSC Novatek shares), rather than selling them. The purchase of new shares should be carefully analyzed. Through an approximation of the dynamic number of the applicable optimization problem of minimizing the maximum Hausdorff distances between the ranges of the dynamic series and the values of the approximating function, the applied approach can provide reliable justification for signals to buy shares. Energy policy occupies the highest place in the list of progress ratings according to news analytics of businesses related to the energy sector of the economy. At the same time, statistical indicators and technologies of expert developments in this field, including intellectual analysis, can become an important basis for the development of a robotic knowledge program in the field under study, an organic addition to which is the authors’ methodology of development in energy economics as in energy policy. This paper examines the model of approximation of the multivalued time series of PJSC Novatek, represented as a series of ranges of numerical values of the indicators of financial markets, with constraints on the approximating function. The authors consider it advisable for promising companies to apply this approach for successful long-term investment.

The article focuses on the dynamics and structure of fixed investments in the Russian Federation in the period of 2011-2019, analyses both the destabilizing factors, and those, having beneficial impact on the use of a wide range of financial mechanisms in financing projects on petrochemical companies' development. It evaluates the competitiveness of petrochemical companies in the Russian Federation and abroad, for the current period and until 2030, according to the strategy of industry development. It outlines the investment potential of the industry and provides conclusion on the need to develop the use of mechanisms for financing innovative subprojects of petrochemical industry companies. All conclusions in the article are illustrated with relevant examples.

The purpose of this article was to study budgeting process from the point of its structure, analyze the Russian and European models of budget planning. Russian experts seem to favor a combination of rolling budgeting and top-down approach. Zero based method is preferred for larger projects with strict budgeting culture. For smaller and medium business, there remains lack of attention to budgeting. It is caused by lack of finance, experience and prioritization of other financial management tools. The classical approach used in the beginning stage would definitely be the top-down approach, which despite some its flaws can work well in the beginning stage of business development, when the strategy is rather aggressive and growth-oriented. Larger better-established organizations tend to realize importance of budgeting process and devote greater attention to developing its structure. The combination of methods is rather appropriate and additional investment should be made specifically into the Information System used in the budgeting process, as it is associated with reducing labor costs and accelerating processes. Unfortunately, Russian companies still find it difficult to keep up with development of new techniques on budgeting process overseas. This was shown in detailed comparison of Russian budgeting model with the European one.