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.
References
[1]
Gonchar, N.S. (2023) Economy Equilibrium and Sustainable Development. Advances in Pure Mathematics, 13, 316-346. https://doi.org/10.4236/apm.2023.136022
[2]
Gonchar, N.S. (2023) Mathematical Foundations of Sustainable Economy Development. Advances in Pure Mathematics, 13, 369-401.
https://doi.org/10.4236/apm.2023.136024
[3]
Gonchar, N.S. (2008) Mathematical Foundations of Information Economics. Bogolyubov Institute for Theoretical Physics, Kiev, p. 468.
[4]
Gonchar, N.S. and Zhokhin, A.S. (2013) Critical States in Dynamical Exchange Model and Recession Phenomenon. Journal of Automation and Information Science, 45, 50-58. https://doi.org/10.1615/JAutomatInfScien.v45.i1.40
[5]
Gonchar, N.S., Zhokhin, A.S. and Kozyrski, W.H. (2015) General Equilibrium and Recession Phenomenon. American Journal of Economics, Finance and Management, 1, 559-573. https://doi.org/10.1615/JAutomatInfScien.v47.i4.10
[6]
Gonchar, N.S., Zhokhin, A.S. and Kozyrski, W.H. (2015) On Mechanism of Recession Phenomenon. Journal of Automation and Information Sciences, 47, 1-17.
https://doi.org/10.1615/JAutomatInfScien.v47.i4.10
[7]
Gonchar, N.S., Dovzhyk, O.P., Zhokhin, A.S., Kozyrski, W.H. and Makhort, A.P. (2022) International Trade and Global Economy. Modern Economy, 13, 901-943.
https://www.scirp.org/journal/me
https://doi.org/10.4236/me.2022.136049
[8]
Nirenberg, L. (1974) Topics in Nonlinear Functional Analysis. New York University, New York.
[9]
Gonchar, N.S., Kozyrski, W.H., Zhokhin, A.S. and Dovzhyk, O.P. (2018) Kalman Filter in the Problem of the Exchange and the Inflation Rates Adequacy to Determining Factors. Noble International Journal of Economics and Financial Research, 3, 31-39.
[10]
Gonchar, N.S., Zhokhin, A.S. and Kozyrski, W.H. (2020) On Peculiarities of Ukrainian Economy Development. Cybernetics and Systems Analysis, 56, 439-448.
https://doi.org/10.1007/s10559-020-00259-0
[11]
Gonchar, N.S. and Dovzhyk, O.P. (2019) On One Criterion for the Permanent Economy Development. Journal of Modern Economy, 2, 1-16.
https://doi.org/10.28933/jme-2019-09-2205
[12]
Gonchar, N.S. and Dovzhyk, O.P. (2022) On the Sustainable Economy Development of Some European Countries. Journal of Modern Economy, 5, 1-14.
https://doi.org/10.28933/jme-2021-12-0505