RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Sib. Zh. Ind. Mat., 2011, Volume 14, Number 2, Pages 124–131 (Mi sjim674)  

This article is cited in 4 scientific papers (total in 4 papers)

A linear production-exchange model: Polyhedral complexes and a criterion for an equilibrium

V. I. Shmyrev

Sobolev Institute of Mathematics SB RAS, Novosibirsk, RUSSIA

Abstract: Under study is an economic model of exchange whose participants include consumers as well as companies producing commodities. The production capabilities of the companies are constrained by the expenses of a certain single resource. We scrutinize the version of the model with fixed budgets of the participants, show that some equilibrium exists, and describe an original approach of polyhedral complementarity which enables us to obtain a criterion for an equilibrium state. Thus, we can propose a finite algorithm for finding an equilibrium.

Keywords: exchange model, economic equilibrium, price vector, fixed budgets, polyhedral complex, complementarity.

Full text: PDF file (234 kB)
References: PDF file   HTML file

English version:
Journal of Applied and Industrial Mathematics, 2012, 6:2, 240–247

Bibliographic databases:

UDC: 519.865.3
Received: 07.06.2010

Citation: V. I. Shmyrev, “A linear production-exchange model: Polyhedral complexes and a criterion for an equilibrium”, Sib. Zh. Ind. Mat., 14:2 (2011), 124–131; J. Appl. Industr. Math., 6:2 (2012), 240–247

Citation in format AMSBIB
\Bibitem{Shm11}
\by V.~I.~Shmyrev
\paper A linear production-exchange model: Polyhedral complexes and a~criterion for an equilibrium
\jour Sib. Zh. Ind. Mat.
\yr 2011
\vol 14
\issue 2
\pages 124--131
\mathnet{http://mi.mathnet.ru/sjim674}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2962162}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 2
\pages 240--247
\crossref{https://doi.org/10.1134/S1990478912020135}


Linking options:
  • http://mi.mathnet.ru/eng/sjim674
  • http://mi.mathnet.ru/eng/sjim/v14/i2/p124

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. I. Shmyrev, “The method of meeting trajectories for a linear production-exchange model”, J. Appl. Industr. Math., 6:4 (2012), 490–500  mathnet  crossref  mathscinet
    2. V. I. Shmyrev, “Algoritmy poliedralnoi komplementarnosti dlya otyskaniya ravnovesiya v lineinykh modelyakh konkurentnoi ekonomiki”, Diskretn. analiz i issled. oper., 21:2 (2014), 84–101  mathnet  mathscinet
    3. V. I. Shmyrev, “An iterative approach for searching an equilibrium in piecewise linear exchange model”, Discrete Optimization and Operations Research, DOOR 2016, Lecture Notes in Computer Science, 9869, eds. Y. Kochetov, M. Khachay, V. Beresnev, E. Nurminski, P. Pardalos, Springer Int. Publishing Ag, 2016, 61–73  crossref  isi
    4. V. I. Shmyrev, “Polyhedral complementarity on a simplex. Potentiality of regular mappings”, J. Appl. Industr. Math., 12:1 (2018), 167–176  mathnet  crossref  crossref  elib
  • Сибирский журнал индустриальной математики
    Number of views:
    This page:555
    Full text:113
    References:25
    First page:4

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020