American Economy and Sustainable Development
- 1 Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
Abstract
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.
- Arrow, K.J. and Debreu, G. (1954) Existence of an Equilibrium for a Competitive Economy. Econometrica , 22, 265-290. https://doi.org/10.2307/1907353
- Debreu, G. (1982) Chapter 15. Existence of Competitive Equilibrium. In: Arrow, K.J. and Intrilligator, M.D., Eds., Handbook of Mathematical Economics , Elsevier, 697-743. https://doi.org/10.1016/s1573-4382(82)02010-4
- Scarf, H.E. (1982) Chapter 21. The Computation of Equilibrium Prices: An Exposition. In: Arrow, K.J. and Intriligator, M.D., Eds., Handbook of Mathematical Economics , Elsevier, 1007-1061. https://doi.org/10.1016/s1573-4382(82)02016-5
- Kehoe, T.J. (1991) Chapter 38. Computation and Multiplicity of Equilibria. In: Hildenbrand, W. and Sonnenschein, H., Eds., Handbook of Mathematical Economics , Elsevier, 2049-2144. https://doi.org/10.1016/s1573-4382(05)80013-x
- Smale, S. (1976) Global Analysis and Economics VI: Geometric Analysis of Pareto Optima and Price Equilibria under Classical Hypotheses. Journal of Mathematical Economics , 3, 1-14. https://doi.org/10.1016/0304-4068(76)90002-1
- Gonchar, N.S. (1996) Nonlinear Equations for Equilibrium Cost and Their Solvability. In: Boutet de Monvel, A., et al ., Eds., Algebraic and Geometric Methods in Mathe matical Physics , Kluwer Academic Publishers, 293-306.
- Gonchar, N. (1994) Theory of Economic Equilibrium. Journal of Nonlinear Mathe matical Physics , 1, 380-400. https://doi.org/10.2991/jnmp.1994.1.4.4
- Gonchar, N.S. (2008) Mathematical Foundations of Information Economics. Bogolyubov Institute for Theoretical Physics, 468 p.
- Gonchar, N.S. (2024) Economy Function in the Mode of Sustainable Development. Advances in Pure Mathematics , 14, 242-282. https://doi.org/10.4236/apm.2024.144015
- Gonchar, N.S. (2025) Tax Systems for Sustainable Economic Development. Journal of Mathematical Finance , 15, 1-34. https://doi.org/10.4236/jmf.2025.151001
- Gonchar, N.S. (2023) Economy Equilibrium and Sustainable Development. Advances in Pure Mathematics , 13, 316-346. https://doi.org/10.4236/apm.2023.136022
- 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
- Shome, P. (1978) The Incidence of the Corporation Tax in India: A General Equilibrium Analysis. Oxford Economic Papers , 30, 64-73. https://doi.org/10.1093/oxfordjournals.oep.a041405