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Mathematical Dynamics of Economic Growth as Effect of Internal Savings

Krouglov, Alexei (2006): Mathematical Dynamics of Economic Growth as Effect of Internal Savings. Unpublished.

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Abstract

Paper introduces mathematical models describing long-time effects of real savings on economic growth. Models are built for single-product and multiple-product economy with market forces presented through the system of ordinary differential equations. Modeling results show a limited long-run economic growth for occasional and constant-rate systematic internal savings, a steady long-run economic growth if acceleration rate of internal savings lies within the proper limit for every industry, and a steady long-run economic decline if acceleration rate of internal savings exceeds the suitable limit for certain industry. Modeling outcome also suggests that a long-run economic growth requires direct investment of internal savings into appropriate investment vehicles with exclusion from savings-investment chain the interest-rate-bearing bank accounts with clear danger of suffering a long-run economic decline in case of violation of the requirement.

Item Type:MPRA Paper
Additional Information:Submitted to "Finance India"
Language:English
Keywords:Business Fluctuations; Economic Growth; Savings; Investment
Subjects:E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E32 - Business Fluctuations; Cycles
O - Economic Development, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O41 - One, Two, and Multisector Growth Models
ID Code:1262
Deposited By:Alexei Krouglov
Deposited On:28. Dec 2006
Last Modified:07. Nov 2007 01:38
References:

[1] F. R. Gantmacher, “The Theory of Matrices,” vol. 1 and 2, Chelsea Publishing Co, New York, 1959. [2] A. Krouglov, “Dynamics of Business Fluctuations in the Leontief-Type Economy,” ewp-mac/9807007, available at http://econwpa.wustl.edu. [3] A. Krouglov, “Mathematical Dynamics of Economic Markets,” Nova Science Publishers, New York, 2006. [4] W. Leontief, “The Structure of the American Economy 1919-1939: An Empirical Application of Equilibrium Analysis,” Oxford University Press, New York, 1951. [5] W. Leontief et al., “Studies in the Structure of the American Economy,” Oxford University Press, New York, 1953. [6] I. G. Petrovski, “Ordinary Differential Equations,” Prentice Hall, Englewoods Cliffs, NJ, 1966. [7] N. S. Piskunov, “Differential and Integral Calculus,” Groningen P. Noordhoff, 1965. [8] L. S. Pontryagin, “Ordinary Differential Equations,” Addison-Wesley, Reading, MA, 1962.

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