The model of economic dynamics of the Leontief type is considered. The problem of determining the equilibrium state of the model with a fixed budget is investigated. It is proved that the state of equilibrium exists, if the trajectory model is a solution to the consumer problem.
| Published in | Pure and Applied Mathematics Journal (Volume 5, Issue 6) |
| DOI | 10.11648/j.pamj.20160506.15 |
| Page(s) | 205-210 |
| 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), 2016. Published by Science Publishing Group |
Production Mapping, Utility Function, Equilibrium
| [1] | Makarov V. L., Rubinov A. M. The mathematical Theory of Economic Dynamics and Equilibrium, Moscow, Nauka, 1973, 336 p. |
| [2] | Crassus I. A. Models of Economic Dynamics, Moskow, Sov. Radio, 1976, 278 p. |
| [3] | Lancaster K. Mathematical Economics, Moskow, Sov Radio, 1972. |
| [4] | Rubinov A. M. On a Leontief type model, Optimization, 1962, 32 (49), pp 109-127. |
| [5] | Dobrescu L. I., Neamtu M., Ciurdariu A. L., Orpish D. A. Dinamic Economic Model with Discrete Time and Consumer Sentiment. Discrete Dynamics in Nature and Society, 2009, Article ID509561. |
| [6] | Doms M. and Morin N., Consumer Sentiment, the Economy and the News Media, Federal Reserve Bank of San-Francisco, San-Francisco, California, USA, 2004. |
| [7] | Westerhoff F. H. Consumer sentiment and business cycles a Neimark-Sacker bifurcation scenario, Applied Economics Letters, Vol. 15, no 15, 2008, pp. 1201-1205. |
| [8] | Demyanov V. F., Vasilyev L. V. Non differentiable Optimization, Moskow, Nauka, 1981, 384 p. |
| [9] | Demyanov V. F., Rubinov A. M. Approximate Methods of Solving Extremal Problems, LSU, 1968, 180 p. |
| [10] | Rockafellar R. Convex Analysis, Moskow, 1973, 471 p. |
APA Style
Sabir Isa Hamidov. (2016). On a Consumer Problem. Pure and Applied Mathematics Journal, 5(6), 205-210. https://doi.org/10.11648/j.pamj.20160506.15
ACS Style
Sabir Isa Hamidov. On a Consumer Problem. Pure Appl. Math. J. 2016, 5(6), 205-210. doi: 10.11648/j.pamj.20160506.15
AMA Style
Sabir Isa Hamidov. On a Consumer Problem. Pure Appl Math J. 2016;5(6):205-210. doi: 10.11648/j.pamj.20160506.15
Share This Article
Twitter
Linked In
Facebook
Copy
Download@article{10.11648/j.pamj.20160506.15,
author = {Sabir Isa Hamidov},
title = {On a Consumer Problem},
journal = {Pure and Applied Mathematics Journal},
volume = {5},
number = {6},
pages = {205-210},
doi = {10.11648/j.pamj.20160506.15},
url = {https://doi.org/10.11648/j.pamj.20160506.15},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20160506.15},
abstract = {The model of economic dynamics of the Leontief type is considered. The problem of determining the equilibrium state of the model with a fixed budget is investigated. It is proved that the state of equilibrium exists, if the trajectory model is a solution to the consumer problem.},
year = {2016}
}
TY - JOUR T1 - On a Consumer Problem AU - Sabir Isa Hamidov Y1 - 2016/11/15 PY - 2016 N1 - https://doi.org/10.11648/j.pamj.20160506.15 DO - 10.11648/j.pamj.20160506.15 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 205 EP - 210 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20160506.15 AB - The model of economic dynamics of the Leontief type is considered. The problem of determining the equilibrium state of the model with a fixed budget is investigated. It is proved that the state of equilibrium exists, if the trajectory model is a solution to the consumer problem. VL - 5 IS - 6 ER -
Email: