OPTIMAL CONTROL IN A MODEL OF ENDOGENOUS GROWTH FOR CLOSED ECONOMIC SYSTEMS
Abstract
In the work we study a mathematical model about control of investments distribution, when the technological change is taken into consideration as an increasing elasticity coefficient on the capital factor. There is proposed a solution algorithm to solve respective optimization control problem, where the investment funds are taken from the amount which was earlier intended for investments to the manufacture process. As a result, one can achieve at a final moment of time an additional volume of production, when compared with the one given by real statistical data, as well as to reach a maximum capital accumulation.
References
1. Solow R. A Contribution to the Theory of Economic Growth. Quart. J. Econ, 1956. -V. 70.
2. Браун М. Теория и измерение технического прогресса/М.Браун. -М.: Статистика, 1971.
3. Arrow K. J. The economic Implication of learning by Doing. -Rev. Econ. Stud, 1962. -V. 29.
4. Sheshinski E. Optimal accumulation with learning by doing. -Essays on the theory of optimal growth. Ed. K Shell. Cambridge. Mass.: MIT Press, 1967.
5. Lucas R. E. On one mechanics of economic development. J. Monetary Econ, 1988. -№7. -V. 22.
6. Romer P. M. Endogenous technical change. -J. Polit. Econ, 1990. -№ 5. -V. 98.
7. Romer P. M. Capital accumulation in the theory of long-run growth. -Modern Macroeconomics. Ed. R. Barro. Cambridge. Mass.: Harvard Univ. Press, 1989.
8. Aghiton P., Howitt P. A model of growth through creative destruction. NBER Working Paper. N 3223. Cambridge. Mass., 1990.
9. Uzawa H. Optimal technical change in an aggregative model of economic growth. Int. Econ. Rev. 1965. -№ 6. -V. 6.
10. Becker G. S., Murphy K. M., Tamura R. Human capital, fertility, and economics growth. -J. Polit. Econ, 1990. № 5. -V. 98.
11. Шараев Ю.В. Теория экономического роста/Ю.В.Шараев. -М.: Издательский дом ГУ ВШЭ, 2006.
12. Сумбатян М.А. Математическая модель эндогенного экономического роста/М.А.Сумбатян, Н.А.Сайфутдинова//Изв. вузов. Сев.-Кав. регион. Сер. Естественные науки. Прил. -Ростов н/Д. -2005. -№ 11. -С.37-48.
13. Жиглявский А.А. Математическая теория глобального случайного поиска/А.А.Жиглявский. -Л.: Изд-во ЛГУ, 1985.
Review
For citations:
SUMBATYAN M. OPTIMAL CONTROL IN A MODEL OF ENDOGENOUS GROWTH FOR CLOSED ECONOMIC SYSTEMS. Vestnik of Don State Technical University. 2008;8(4):111-119. (In Russ.)
Views:
321
Email this article 