Optimal Control of the Macroeconomy with the Application to 2001 crisis of Turkey

Authors: 
Mehmet Orhan
DOI Number: 
doi.org/10.31039/jomeino.2017.1.1.2
Abstract: 
This paper concentrates on the application of optimal control theory to highlight some aspects of Turkish economy. First the setup is given for Turkey to grow over the balanced path. Then the optimal control problem is identified. The control and state variables are mentioned. The objective is the maximization of life-time discounted utility of the society through optimal choice of consumption which automatically determines investment. We make use of Bellman’s principle to guarantee optimality. We make necessary assumptions (technical assumptions) to make use of calculus techniques for a solution. Some functions to represent utility and production are specified. I used the econometric techniques to estimate some parameters of the functions to decide upon the optimal level of investment for steady-state in Turkey over the period including 2001 crisis. The corresponding differential equations are obtained as a result of the Hamiltonian defined. The phase diagram is prepared to analyse different trajectories.
Keywords: 
Optimal Control, Growth, Turkey, CRRA, Cobb-Douglas
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References: 

Celasun, M. (2002). 2001 krizi öncesi ve sonrası: Makroekonomik ve mali bir değerlendirme. Technical Paper, Bilkent University.
Dorfman, R. (1969). An economic interpretation of optimal control theory. The American Economic Review, 59(5), 817-831. https://www.jstor.org/stable/1810679
Holt, C. A., & Laury, S. K. (2002). Risk aversion and incentive effects. American Economic Review, 92(5), 1644-1655. https://doi.org/10.1257/000282802762024700
Cass, D. (1965). Optimum growth in an aggregative model of capital accumulation. The Review of Economic Studies, 32(3), 233-240. https://doi.org/2295827
Ramsey, F. P. (1928). A mathematical theory of saving. The Economic Journal, 38(152), 543-559. https://doi.org/2224098
Kamien, M. I., & Schwartz, N. L. (2012). Dynamic optimization: the calculus of variations and optimal control in economics and management. courier corporation. Dover Publications.
Koopmans, T. C. (1967). Objectives, Constraints, and Outcomes in Optimal Growth Models. Econometrica: Journal of the Econometric Society, 1-15. https://doi.org/1909381
Metin-Ozcan, K., Voyvoda, E., & Yeldan, A. E. (2001). Dynamics of macroeconomic adjustment in a globalized developing economy: growth, accumulation and distribution, Turkey 1969–1999. Canadian Journal of Development Studies/Revue Canadienne D'études du Développement, 22(1), 219-253. https://doi.org/10.1080/02255189.2001.9668808
Lucas Jr, R. E. (1988). On the mechanics of economic development. Journal of Monetary Economics, 22(1), 3-42. https://doi.org/10.1016/0304-3932(88)90168-7
Romer, P. M. (1986). Increasing returns and long-run growth. Journal of Political Economy, 94(5), 1002-1037. https://doi.org/10.1086/261420
Smith, A. (1904). An Inquiry into the nature and causes of the Wealth of Nations. New edition, revised, corrected and improved. Mathues and Co. Ltd., London.
Solow, R. M. (1956). A contribution to the theory of economic growth. The Quarterly Journal of Economics, 70(1), 65-94. https://doi.org/10.2307/1884513
Stokey, N. L. (1989). Recursive methods in economic dynamics. Harvard University Press.

Page: 
10-23
Content Status: 
Published