On a Construction of the Optimal Trajectories by Applying the Equilibrium Mechanisms in the Discrete Dynamical Models
American Journal of Mathematical and Computer Modelling
Volume 2, Issue 4, November 2017, Pages: 99-102
Received: Mar. 14, 2017; Accepted: May 6, 2017; Published: Jul. 13, 2017
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Author
Sabir Isa Hamidov, Department of Mathematical, Cybernetics, Baku State University, Baku, Azerbaijan
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Abstract
The model of economic dynamics, consisting of two units that produce, respectively, means of production and objects of commodities. It is assumed that the trajectory of еру model with a fixed budget admits characteristics and has an equilibrium state. These conditions allow us to construct effective trajectories of the model with the help of the equilibrium mechanisms. The determination of the equilibrium prices serves to determine the utility function. Formulas for determining the equilibrium coefficients are given. The conditions for constructing the efficiency of the trajectory are determined.
Keywords
Equilibrium, Effective Trajectory, Characteristics
To cite this article
Sabir Isa Hamidov, On a Construction of the Optimal Trajectories by Applying the Equilibrium Mechanisms in the Discrete Dynamical Models, American Journal of Mathematical and Computer Modelling. Vol. 2, No. 4, 2017, pp. 99-102. doi: 10.11648/j.ajmcm.20170204.12
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
References
[1]
Makarov, V.L., Rubinov, A.M., Mathematical Theory of the Economical dynamics and Equilibrium, Moscow, Nauka, 1973.
[2]
Rubinov, A.M., Mathematical Models of the Expanded Reproduction Models, Leningrad, Nauka, 1983.
[3]
Rubinov, A.M., Superlinear Multivalued Mappings and Their applications to Economical-Mathematical Problems, Leningrad, Nauka, 1980.
[4]
Polterovich, V.M, On a Stability of Some Processes Distribution of Funds and Price Regularization, Mathematical Economics and Functional Analysis, Moscow, Nauka, 1974.
[5]
Kleiner, G.B., Production Functions, Moscow, Statistics, 1986.
[6]
Rubinov, A.M., EgulibriumMechanisms for Effective and Asymptotically-effective Development of Dynamic Models of Production and Exchange, Technical Cybernetics, 1968.
[7]
Krass, I.A., The Models of Economic Dynamics, Moscow, Sov.Radio, 1976.
[8]
Lancaster,K., Mathematical Economics, Moscow, Sov.Radio, 1972.
[9]
Gale, D., The Theory of Lienar Economic Models, M., IL, 1963.
[10]
Romer, P.M., Mathiness in the Theory of Economyc Growth, The American Economic Review,Vol.105,№ 5, 2015.
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