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Economy Function in the Mode of Sustainable Development

Advances in Pure Mathematics 2024年第4期14卷 242-282页

作者： Nicholas Simon Gonchar Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine Kyiv Ukraine

To implement the previously formulated principles of sustainable economic development, all solutions of the linear system of equations and inequalities, which are satisfied by the vector of real consumption, are completely described. It is established that the vector of real consumption with the minimum level of excess supply is determined by the solution of some quadratic programming problem. The necessary and sufficient conditions are established under which the economic system, described by the “input-output” production model, functions in the mode of sustainable development. A complete description of the equilibrium states for which markets are partially cleared in the economy model of production “input-output” is given, on the basis that all solutions of system of linear equations and inequalities are completely described. The existence of a family of taxation vectors in the “input-output” model of production, under which the economic system is able to function in the mode of sustainable development, is proved. Restrictions were found for the vector of taxation in the economic system, under which the economic system is able to function in the mode of sustainable development.

关键词： Technological Mapping Economic Balance clearing markets Vector of Taxation Sustainable Economic Development

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