Abstract
This paper provides some results of generalizing the theory of parametric regulation to the classes of nonautonomous continuous- and discrete-time dynamic systems. We present assertions on the existence of solutions to a series of variational calculus problems and on the continuous dependence of performance criteria on uncontrolled functions. The computable general equilibrium model (CGE model) of national economy sectors serves for illustrating the efficiency of the proposed parameter identification method for high-dimensional mathematical models. And finally, the CGE model of national economy sectors is used to analyze the sources of economic growth and to demonstrate the efficiency of the theory of parametric regulation for elaboration of government’s policy in the field of economic growth.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Acemoglu, D., Introduction to Modern Economic Growth, Princeton: Princeton Univ. Press, 2008.
Turnovsky, S.J., Methods of Macroeconomic Dynamics, Massachusetts: MIT Press, 1997.
André, F.J., Cardenete, M.A., and Romero, C., Designing Public Policies. An Approach Based on Multi-Criteria Analysis and Computable General Equilibrium Modeling, in Lecture Notes Econom. Math. Syst., 2010, vol. 642.
Tapiero, Ch.S., Applied Stochastic Models and Control for Finance and Insurance, Boston: Kluwer, 1998.
Ashimov, A.A., Sagadiyev, K.A., Borovskiy, Yu.V., et al., On the Market Economy Development Parametrical Regulation Theory, Kybernetes, 2008, vol. 37, no. 5, pp. 623–636.
Ashimov, A.A., Sultanov, B.T., Adilov, Zh.M., et al., Macroeconomic Analysis and Economic Policy Based on Parametric Control, New York: Springer, 2012.
Ashimov, A.A., Sagadiev, K.A., Borovskii, Yu.V., et al., Development and Application of the Theory of Parametric Regulation of Evolution of Economic Systems Based on a Neoclassical Model of Optimal Growth, Autom. Remote Control, 2008, vol. 69, no. 8, pp. 1373–1379.
Ashimov, A.A., Borovskii, Yu.V., Novikov, D.A., et al., Weak Structural Stability of One Mathematical Model of Economic System and the Multiplicative Effects of Parametric Control, Autom. Remote Control, 2010, vol. 71, no. 12, pp. 2605–2612.
Ekland, I. and Temam, R., Convex Analysis and Variational Problems, Amsterdam: North-Holland, 1979. Translated under the title Vypuklyi analiz i variatsionnye problemy, Moscow: Mir, 1979.
Makarov, V.L., Bakhtizin, A.R., and Sulakshin, S.S., Primenenie vychislimykh modelei v gosudarstvennom upravlenii (Application of Computable Models in State Administration), Moscow: Nauchnyi Ekspert, 2007.
Nelder, J.A. and Mead, R., A Simplex Method for Function Minimization, Comput. J., 1965, no. 7, pp. 308–313.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.A. Ashimov, B.A. Aisakova, R.A. Alshanov, Yu.V. Borovskiy, N.Yu. Borovskiy, D.A. Novikov, B.T. Sultanov, 2014, published in Avtomatika i Telemekhanika, 2014, No. 6, pp. 69–85.
Rights and permissions
About this article
Cite this article
Ashimov, A.A., Aisakova, B.A., Alshanov, R.A. et al. Parametric regulation of economic growth based on nonautonomous computable general equilibrium models. Autom Remote Control 75, 1041–1054 (2014). https://doi.org/10.1134/S0005117914060058
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0005117914060058