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Matematicheskoe modelirovanie, 2015, Volume 27, Number 12, Pages 121–136 (Mi mm3683)  

This article is cited in 3 scientific papers (total in 3 papers)

Reduction of searching competetive equillibrium to the minimax problem in application to different network problems

A. V. Gasnikov

Moscow Institute of Physics and Technology (State University)
Full-text PDF (350 kB) Citations (3)
References:
Abstract: In the paper we show that an important class of multistage traffic equillibrium models (including correspondence matrix calculation, traffic assignment problem etc) and their economic generalizations can be considered as proper population games with the minimax structure of equillibriums. This is not trivial because at the first sight we have to consider competetive (Valras) equilibrium and Nash–Vardroop equillibrium.
Keywords: competitive equilibrium, evolutionary game, sadle point, multi-level optimization, macro balance.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-12007-офи_м
Ministry of Education and Science of the Russian Federation RFMEFI60414X0052
Received: 09.06.2014
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Gasnikov, “Reduction of searching competetive equillibrium to the minimax problem in application to different network problems”, Matem. Mod., 27:12 (2015), 121–136
Citation in format AMSBIB
\Bibitem{Gas15}
\by A.~V.~Gasnikov
\paper Reduction of searching competetive equillibrium to the minimax problem in application to different network problems
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 12
\pages 121--136
\mathnet{http://mi.mathnet.ru/mm3683}
\elib{https://elibrary.ru/item.asp?id=25707595}
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  • https://www.mathnet.ru/eng/mm3683
  • https://www.mathnet.ru/eng/mm/v27/i12/p121
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:380
    Full-text PDF :112
    References:48
    First page:22
     
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