Abstract
A new approach to the construction of macroeconomic growth models is considered. This approach is based on an application of ordinary differential equations to the description of the long-term development for large economic systems. Principles of construction of the original macroeconomic model taking into account a non-stationary endogenous technical progress and non-renewable energy resources depletion influence on the economic growth are described. The analytical properties of the model based on this approach as well as the existence and the behaviour of the solutions of the optimal control problem are investigated.
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References
S.V. Dubovsky “Production Functional with Endogenous and Guided Technical Progress”, VNIISI collection of papers, vol.9, 1978, Moscow, USSR (in Russian).
S. N. Golosovsky “Definition of the Influence of Technical Progress on the Basis of the Complex-Functional Method”, VNIISI collection of papers, vol. 9, 1978, Moscow, USSR (in xRussian).
D. Shimon, V.S. Samovol “On the Functional of Economic Growth”, “Economics and Mathematical Methods”, Vol.XVII, No. 2, 1981, Moscow, USSR (in Russian).
J. P. Ivanilov and others “On Production Functions of the Economy”, Computer Center of the Academy of Sciences, 1983, Moscow, USSR (in Russian).
V.A. Gelovani, S.V. Dubovsky, V.V. Jurchenko “Modelling of Long-Term Regional Economic Development”, Reports of the USSR Academy of Sciences, vol.238, No. 3, 1978 (in Russian).
V.M. Vasiliev “Analysis of the Economic and Technical Development of Japan by Means of a Long-Term Macroeconomlc Model”, VNIISI collection of papers, 1981, Moscow, USSR (in Russian).
S.V. Dubovsky, V.M. Vasiliev, O.A. Eismont “Modelling of the USA Economic Growth: with Regard to the New Tendencies of Development”, VNIISI collection of papers, vol. 3, 1983, Moscow, USSR (in Russian).
S.V. Dubovsky, V.M. Vasiliev “Long-Term Economic Growth of the Countries and Regions of the World on the Threshhold of the Twenty-first Century”, VNIISI collection of papers, vol.3, 1985, Moscow, USSR (in Russian).
S.V. Dubovsky “Non-Stationary Technical Progress in Global Modelling”, VNIISI collection of papers, vol.20, 1988, Moscow, USSR (in Russian).
Solow R. “Investment and Technological Progress”, in “Mathematical Methods in the Social Science”, Stanford University, Press, 1959.
Johansen L. “Substitution Versus Fixed Production Coefficients in the Theory of Economic Growth”, Econometrica, vol.27, No.2, 1961.
Sato R., Beckmann M. “Aggregate Production Functions and Types of Technical Progress: a Statistical Analysis”, The American Economic Rewiew, vol.59, pp. 88–101, 1969.
S.V. Dubovsky, O.A. Eismonx “Macroeconomlc Modelling with Regard to Endogenous Technical Progress and Energy Resources Depletion”, VNIISI collection of papers, vol. 20, 1988, Moscow, USSR (in Russian).
J.S. Pappe “Different Types of Development in the One-Sector Models of Economic Growth with Exogenous Technical Progress”, VNIISI collection of papers, 1982, Moscow, USSR (in Russian).
Chesary L.”Asymptotic Behaviour and Stability of the Solutions of Ordinary Differential Equations”, 1962.
Ramsey F. “Mathematical Theoryof Saving”, Econometric Journal, vol.38, 1928.
L.S. Pontrjagin, V.G. Boltyanskii, R.V. Gamkrelidze and E.F. Mischenko “The Mathematical Theory of Optimal Processes”, “Science”, Moscow, USSR, 1962 (in Russian).
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Vasiliev, V. (1991). On Some Properties of the Solution of the Optimal Control Problem for the Original Long — Term Macroeconomic Model. In: Gruber, J. (eds) Econometric Decision Models. Lecture Notes in Economics and Mathematical Systems, vol 366. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51675-7_8
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DOI: https://doi.org/10.1007/978-3-642-51675-7_8
Publisher Name: Springer, Berlin, Heidelberg
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