On the market economy development parametrical regulation theory

On the market economy development parametrical regulation theory Purpose – The purpose of this paper is to offer the theory of a parametrical regulation of market economy development, and the results of the theory development and usage. Design/methodology/approach – Theoretical results of the abstract have been obtained by way of applying the theory of ordinary differential equations, geometrical methods in variation tasks and the theory of dynamic systems. These results have been used for solving a number of practical tasks. Findings – The market economy development parametrical regulation theory structure has been offered. The approach to parametrical regulation of a nonlinear dynamic system's development has been suggested. An assumption about the existence of solution to the task of calculus of variations on the choice of the optimum laws of parametrical regulation within the given finite set of algorithms has been set forward. An assumption about the conditions sufficient for the existence of an extremal's bifurcation point of the task of calculus of variations on the choice of the optimum laws of parametrical regulation within the given finite set of algorithms is presented, formulated and proved. Theory application samples have been provided. Research limitations/implications – Future papers would be focused on studies of rigidness of other mathematic models of economic systems. Practical implications – The research findings could be applied to the choice and realization of an effective budget and tax as well as monetary and loan state policy. Originality/value – The market economy development parametrical regulation theory has been offered for consideration for the first time. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Kybernetes Emerald Publishing

On the market economy development parametrical regulation theory

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Publisher
Emerald Publishing
Copyright
Copyright © 2008 Emerald Group Publishing Limited. All rights reserved.
ISSN
0368-492X
DOI
10.1108/03684920810873263
Publisher site
See Article on Publisher Site

Abstract

Purpose – The purpose of this paper is to offer the theory of a parametrical regulation of market economy development, and the results of the theory development and usage. Design/methodology/approach – Theoretical results of the abstract have been obtained by way of applying the theory of ordinary differential equations, geometrical methods in variation tasks and the theory of dynamic systems. These results have been used for solving a number of practical tasks. Findings – The market economy development parametrical regulation theory structure has been offered. The approach to parametrical regulation of a nonlinear dynamic system's development has been suggested. An assumption about the existence of solution to the task of calculus of variations on the choice of the optimum laws of parametrical regulation within the given finite set of algorithms has been set forward. An assumption about the conditions sufficient for the existence of an extremal's bifurcation point of the task of calculus of variations on the choice of the optimum laws of parametrical regulation within the given finite set of algorithms is presented, formulated and proved. Theory application samples have been provided. Research limitations/implications – Future papers would be focused on studies of rigidness of other mathematic models of economic systems. Practical implications – The research findings could be applied to the choice and realization of an effective budget and tax as well as monetary and loan state policy. Originality/value – The market economy development parametrical regulation theory has been offered for consideration for the first time.

Journal

KybernetesEmerald Publishing

Published: Jun 17, 2008

Keywords: Cybernetics; Market economy; Mathematical modelling; Parametric measures; Variational techniques; Regulation

References

  • Controlling chaos
    Otto, E.; Gregory, C.; Yorke, J.
  • The Ordinary Differential Equations
    Pontryagin, A.S.

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