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Development of the parametric regulation theory based on one class of computable general equilibrium models

Ashimov A. A., Sultanov B. T., Adilov Z. M., Borovskiy Y. V., Borovskiy N. Yu., Ashimov A. A.

Systems Science

2010

Vol. 36, no 2

5-10

The paper presents some results of the development of parametrical regulation theory elements for computable general equilibrium models (CGE models) taking into consideration peculiarities of such models as well as peculiarities of finding optimum (in the sense of some criterion) values of controlled parameters. The authors prove a statement on the existence of a solution of variation calculus task of finding the upper bound of some criterion for discrete dynamic system. Theoretical results have been obtained by means of applying geometrical methods in variation tasks and methods of the theory of discrete dynamic systems. Efficiency of application of the parametric regulation theory based on the example of one of CGE models (CGE model of economic sectors) is shown. Optimal values of controlled parameters of economic politics are suggested based on the mathematical model examined. Dependencies of criterion optimal values on uncontrolled parameters for a given range of its values are found. The research results could be applied for the choice and realization of the effective budget and tax state policy.