American Journal of Mathematical and Computer Modelling

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On a Construction of the Optimal Trajectories by Applying the Equilibrium Mechanisms in the Discrete Dynamical Models

Received: 14 March 2017    Accepted: 06 May 2017    Published: 13 July 2017
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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.

DOI 10.11648/j.ajmcm.20170204.12
Published in American Journal of Mathematical and Computer Modelling (Volume 2, Issue 4, November 2017)
Page(s) 99-102
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Equilibrium, Effective Trajectory, Characteristics

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.
Author Information
  • Department of Mathematical, Cybernetics, Baku State University, Baku, Azerbaijan

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  • APA Style

    Sabir Isa Hamidov. (2017). On a Construction of the Optimal Trajectories by Applying the Equilibrium Mechanisms in the Discrete Dynamical Models. American Journal of Mathematical and Computer Modelling, 2(4), 99-102. https://doi.org/10.11648/j.ajmcm.20170204.12

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    ACS Style

    Sabir Isa Hamidov. On a Construction of the Optimal Trajectories by Applying the Equilibrium Mechanisms in the Discrete Dynamical Models. Am. J. Math. Comput. Model. 2017, 2(4), 99-102. doi: 10.11648/j.ajmcm.20170204.12

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    AMA Style

    Sabir Isa Hamidov. On a Construction of the Optimal Trajectories by Applying the Equilibrium Mechanisms in the Discrete Dynamical Models. Am J Math Comput Model. 2017;2(4):99-102. doi: 10.11648/j.ajmcm.20170204.12

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  • @article{10.11648/j.ajmcm.20170204.12,
      author = {Sabir Isa Hamidov},
      title = {On a Construction of the Optimal Trajectories by Applying the Equilibrium Mechanisms in the Discrete Dynamical Models},
      journal = {American Journal of Mathematical and Computer Modelling},
      volume = {2},
      number = {4},
      pages = {99-102},
      doi = {10.11648/j.ajmcm.20170204.12},
      url = {https://doi.org/10.11648/j.ajmcm.20170204.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajmcm.20170204.12},
      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.},
     year = {2017}
    }
    

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    AB  - 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.
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