Equilibrium Mechanisms in Models of Reproduction with a Fixed Budget

Sabir Isa Hamidov

doi:doi:10.11648/j.ajam.20150303.21

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Equilibrium Mechanisms in Models of Reproduction with a Fixed Budget

Sabir Isa Hamidov

Published in American Journal of Applied Mathematics (Volume 3, Issue 3)

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), 2024. 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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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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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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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

Sabir Isa Hamidov

Baku State University, Mathematical-Cybernetics Department, Baku, Azerbaijan

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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

Copy | Download

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

Copy | Download

@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}
}

Copy | Download

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  -

Copy | Download