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On a Consumer Problem

Received: 10 February 2015     Accepted: 20 October 2016     Published: 15 November 2016
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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.

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

Keywords

Production Mapping, Utility Function, Equilibrium

References
[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.
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    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

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    Sabir Isa Hamidov. On a Consumer Problem. Pure Appl. Math. J. 2016, 5(6), 205-210. doi: 10.11648/j.pamj.20160506.15

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    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

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  • @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}
    }
    

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

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