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Nowadays, studying the categories of "economic sustainability", "economic sustainability management" and the peculiarities of these concepts is especially relevant. Their use would provide an opportunity to ensure the sustainable and most effective functioning of the subject of economic relations in the current period of time, as well as to create a high potential for its development and ensuring the conditions for investing capital in the Ukrainian economy. All this determined the purpose of this study, which consists in the analysis of the theory and essence of the economic sustainability concept, the interpretation of the concept of "economic sustainability of the system" and the concept of "management of economic sustainability of the system", distinguishing factors affecting the sustainability of the Ukrainian economic system, determining the relationship of economic sustainability with economic security, investing as well as forecasting the level of the Ukrainian economy sustainability based on the innovative modeling methods. The object of the research is to develop the theory of the "economic sustainability" concept and to determine the level of economic sustainability of the economy aimed at raising the investment climate in Ukraine. To ensure the development, security and investment attractiveness of the Ukrainian economy, an organizational structure of the management model for the sustainability of the Ukrainian economic system was developed using the developed economic and mathematical model.

At present, the system of ensuring economic security of the agrarian sector of Ukraine is not effective enough. This is primarily due to the fact that at the state level, there are no clear national decisions on ensuring the economic safety of the agrarian sector. The study established that development of economic safety system for the agrarian sector should take into account its resistance to external and internal factors, which could lead to systemic crisis in the agrarian sector development. In this regard, the category of the agrarian sector’s economic safety can be interpreted as the state of agrarian economy sector protection from all kinds of threats, which enables it to form and implement its own economic policy in the field of regulation and stimulation of the agrarian sector development in the indicative limits established by the state, as well as to provide economic stability and the ability of the agrarian sector to reproduce and develop. The strategic goal of building a comprehensive system of agrarian sector economic safety is to create the necessary conditions for the development of agrarian sector enterprises and to provide economic stability and territory socio-economic development stability. In order to achieve this goal, a task tree and an algorithm for building an integrated system of Ukrainian agrarian sector economic safety have been developed.

The article considers the peculiarities of the formation and implementation of tax policy in the development of the digital economy, reveals current problems, and substantiates the need to change the tax system. The directions of compensation of the reduction of income from the labor tax through automation and introduction of artificial intelligence in technological processes are defined and the forms of taxation of digital commerce are offered. The research methods were scientific abstraction, logic, graphics, visual reflection, analytics. It has been proven that the process of digitalization of the economy in combination with the crisis caused by COVID-19 causes many risks that must be considered when developing tax policy. Emphasis is placed on the implementation of a tax policy based on digital transformation, which stimulates innovation, ensures efficiency, and improves the quality of tax services. Increasing the use of digital technologies has been shown to create challenges in many areas of public administration, including taxation. It concludes that there is a need for broad international cooperation to prevent tax evasion, ensure tax transparency and develop new tax approaches and software.