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

Mehmet Orhan

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, Robert, (1969) “An Economic Interpretation of Optimal Control Theory”, American Economic Review, Vol. 59, No. 5, pp. 817-831.

Holt, C.A., and Laury, S.K. (2002) “Risk Aversion and Incentive Effects”, American Economic Review, Vol. 92, No. 5, pp. 1644-1655.

Kass, David, (1965), “Optimum Growth in an Aggregative Model of Capital Accumulation”, The Review of Economic Studies, Vol. 32, No. 3, pp. 233-240.

Ramsey, F., (1928), “A Mathematical Theory of Savings”, Economic Journal, Vol. 38, 543-559.

Kamien, M.I., and Schwartz, N.L., (1981), “Dynamic Optimization: The Calculus of Variations and Optimal Control in Economics and Management” North-Holland, Amsterdam.

Koopmans, T.C., (1967), “Objectives, Constraints, and Outcomes in Optimal Growth Models”, Econometrica, Vol. 35, No. 1., pp. 1-15.

Metin-Özcan, K., Voyvoda, Ebru, and Yeldan, Erinç (2001) “Dynamics of Macroeconomic Adjustment in a Globalized Developing Economy: Growth, Accumulation and Distribution”, Canadian Journal of Development Studies, Vol. 22, No. 1, pp. 219-253.

Lucas, R.E., (1988), “On the Mechanics of Economic Development”, Journal of Monetary Economics, Vol. 22, No. 1, pp. 3-42.

Romer, P.M., (1986), “Increasing Returns and Long Run Growth”, Journal of Political Economy, Vol. 94, No. 5, pp. 1002-1037.

Smith, Adam, (1904), “An Inquiry into the Nature and Causes of the Wealth of the Nations” Mathues and Co. Ltd., London.

Solow, Robert M., (1956), “A Contribution to the Theory of Economic Growth”, Quarterly Journal of Economics, Vol. 70, No. 1, 65-94.

Stokey, N., Lucas, R. and Prescott, E., (1989), “Recursive Methods in Economic Dynamics” Harvard University Press.