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Equilibrium Mechanisms in Models of Reproduction with a Fixed Budget

Received: 24 April 2015     Accepted: 15 May 2015     Published: 29 May 2015
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Abstract

In the study of some models of reproduction of equilibrium mechanisms are used to describe the activity of the economic systems. As the equilibrium mechanisms models with the fixed budgets can be applied. Typically, the control center can not anticipate all situations. Hence, some variations of the initial model parameters are possible. Therefore, in the study of reproduction models a great interest presents the comparative statics, which allows one find out the dependence of the speed of changes of the state trajectories on the changes of the parameters of the trajectories. In this paper, we deal with the Leontief’s type model with fixed budgets, consisting of n branches.

Published in American Journal of Applied Mathematics (Volume 3, Issue 3)
DOI 10.11648/j.ajam.20150303.21
Page(s) 146-150
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), 2015. Published by Science Publishing Group

Keywords

Reproduction Model, Equilibrium Mechanisms, Lagrange Multipliers

References
[1] Rubinov A.M. Equilibrium model type as a tool for building effective trajectories in models of reproduction. Optimization, 1987, 41 (49).
[2] Crass I.A. Mathematical models of economic dynamics. M., Sov.radio, 1976.
[3] Allen R. Mathematical savings. M., IL,1963.
[4] Gail D. The theory of linear economic models. M., IL,1963.
[5] Lancaster K. Mathematical Economics. M.,Sov.radio,1972.
[6] Polterovich V. On the stability of some of the processes of distribution funds and regulation of prices. Mathematical Economics and functional analysis. M., Nauka, 1974, s.203-230.
[7] Rubinov A.M. Mathematical model of extended reproduction, L., Nauka, 1983.
[8] Kantorovich L.V., Akilov G.P. Functional analysis. M.,Nauka, 1964.
[9] Gantmakher F.R. Matrix theory.M.,Nauka, 1967.
[10] R. Bellman, Introduction to the theory of matrices. M.,Mir, 1975.
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  • APA Style

    Sabir Isa Hamidov. (2015). Equilibrium Mechanisms in Models of Reproduction with a Fixed Budget. American Journal of Applied Mathematics, 3(3), 146-150. https://doi.org/10.11648/j.ajam.20150303.21

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    ACS Style

    Sabir Isa Hamidov. Equilibrium Mechanisms in Models of Reproduction with a Fixed Budget. Am. J. Appl. Math. 2015, 3(3), 146-150. doi: 10.11648/j.ajam.20150303.21

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    AMA Style

    Sabir Isa Hamidov. Equilibrium Mechanisms in Models of Reproduction with a Fixed Budget. Am J Appl Math. 2015;3(3):146-150. doi: 10.11648/j.ajam.20150303.21

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  • @article{10.11648/j.ajam.20150303.21,
      author = {Sabir Isa Hamidov},
      title = {Equilibrium Mechanisms in Models of Reproduction with a Fixed Budget},
      journal = {American Journal of Applied Mathematics},
      volume = {3},
      number = {3},
      pages = {146-150},
      doi = {10.11648/j.ajam.20150303.21},
      url = {https://doi.org/10.11648/j.ajam.20150303.21},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150303.21},
      abstract = {In the study of some models of reproduction of equilibrium mechanisms are used to describe the activity of the economic systems. As the equilibrium mechanisms models with the fixed budgets can be applied. Typically, the control center can not anticipate all situations. Hence, some variations of the initial model parameters are possible. Therefore, in the study of reproduction models a great interest presents the comparative statics, which allows one find out the dependence of the speed of changes of the state trajectories on the changes of the parameters of the trajectories. In this paper, we deal with the Leontief’s  type model with fixed budgets, consisting of n  branches.},
     year = {2015}
    }
    

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  • TY  - JOUR
    T1  - Equilibrium Mechanisms in Models of Reproduction with a Fixed Budget
    AU  - Sabir Isa Hamidov
    Y1  - 2015/05/29
    PY  - 2015
    N1  - https://doi.org/10.11648/j.ajam.20150303.21
    DO  - 10.11648/j.ajam.20150303.21
    T2  - American Journal of Applied Mathematics
    JF  - American Journal of Applied Mathematics
    JO  - American Journal of Applied Mathematics
    SP  - 146
    EP  - 150
    PB  - Science Publishing Group
    SN  - 2330-006X
    UR  - https://doi.org/10.11648/j.ajam.20150303.21
    AB  - In the study of some models of reproduction of equilibrium mechanisms are used to describe the activity of the economic systems. As the equilibrium mechanisms models with the fixed budgets can be applied. Typically, the control center can not anticipate all situations. Hence, some variations of the initial model parameters are possible. Therefore, in the study of reproduction models a great interest presents the comparative statics, which allows one find out the dependence of the speed of changes of the state trajectories on the changes of the parameters of the trajectories. In this paper, we deal with the Leontief’s  type model with fixed budgets, consisting of n  branches.
    VL  - 3
    IS  - 3
    ER  - 

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Author Information
  • Baku State University, Mathematical-Cybernetics Department, Baku, Azerbaijan

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