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Soudobá makroekonomie a teorie optimálního řízení
[Contemporary macroeconomics and optimal control theory]

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  • Michal Slavík

Abstract

The paper presents the optimal control theory and the maximum principle technique that is suitable for solving dynamic optimalization problems in continuous time. Modern mainstream macroeconomics stresses microeconomics principles of solved problems. However, the application of the standard microeconomic approach - the static optimalization - needs to be replaced in macroeconomics by more sophisticated methods. The maximum principle is one of the possible tools. This text briefly introduces the basics of this method to Czech readers. More detailed treatment can be found in the original literature. The maximum principle method can be applied not only in solving macroeconomic problems, but also in many different areas that deal with the optimalization in continuous time, e.g. finance or engineering.

Suggested Citation

  • Michal Slavík, 2004. "Soudobá makroekonomie a teorie optimálního řízení [Contemporary macroeconomics and optimal control theory]," Politická ekonomie, Prague University of Economics and Business, vol. 2004(4), pages 551-561.
    • Handle: RePEc:prg:jnlpol:v:2004:y:2004:i:4:id:475:p:532-542
    DOI: 10.18267/j.polek.475
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    References listed on IDEAS

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    1. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521331586, October.
    2. Caballe, Jordi & Santos, Manuel S, 1993. "On Endogenous Growth with Physical and Human Capital," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 1042-1067, December.
    3. HALKIN, Hubert, 1974. "Necessary conditions for optimal control problems with infinite horizons," LIDAM Reprints CORE 193, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Dorfman, Robert, 1969. "An Economic Interpretation of Optimal Control Theory," American Economic Review, American Economic Association, vol. 59(5), pages 817-831, December.
    5. Sethi, Suresh P. & Thompson, Gerald L., 1970. "Applications of Mathematical Control Theory to Finance: Modeling Simple Dynamic Cash Balance Problems," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 5(4-5), pages 381-394, December.
    6. Marimon, Ramon & Scott, Andrew (ed.), 1999. "Computational Methods for the Study of Dynamic Economies," OUP Catalogue, Oxford University Press, number 9780198294979.
    7. Halkin, Hubert, 1974. "Necessary Conditions for Optimal Control Problems with Infinite Horizons," Econometrica, Econometric Society, vol. 42(2), pages 267-272, March.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    optimal control theory; maximum principle; dynamic macroeconomics; optimization techniques;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical

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