The aim of the paper is to establish the conditions under which the sustainable development of the economy takes place. The main hypothesis is the principle of correspondence, which means that the same relations that determine the sustainable development of the economy are valid in the aggregate description as in the non-aggregate description. On the basis of the established theorems, the article develops a method of studying real economic systems for their sustainable development. The principle of correspondence is formulated, which clarifies what should be understood by the sustainable development of economic systems described in aggregate. A complete description of taxation systems is given, with the help of which the economic system described in aggregate can be transferred to the mode of sustainable development. The taxation systems that can transform the economic system described in the aggregate into a subsidized regime are described. The article defines sustainable development of economic systems described in aggregate and provides a complete description of taxation systems that ensure sustainable development. A methodology for the study of economic systems for the purpose of their stay in the mode of sustainable development has been developed. It is shown that the American economy during 2010-2014 was close to the regime of sustainable development.
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