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Sibirskii Zhurnal Industrial'noi Matematiki, 2010, Volume 13, Number 1, Pages 18–33 (Mi sjim592)  
This article is cited in 11 scientific papers (total in 11 papers)

Edgeworth equilibrium in a model of interregional economic relations

V. A. Vasil'eva, V. I. Suslovb

a Sobolev Institute of Mathematics, SB RAS, Novosibirsk
b Institute of Economics and Industrial Engineering, SB RAS, Novosibirsk
Full-text PDF (325 kB) Citations (11)
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Abstract: We introduce an analog of Edgeworth equilibrium for a class of multiregional economic systems. We analyze the game-theoretic aspects of the coalition stability of regional development plans and establish a rather general existence theorem for Edgeworth equilibria. We discuss the questions of coincidence of the set of these equilibria with fuzzy kernel and the set of Walras equilibria of the multiregional systems under study. The methods used rest on systematically accounting for the polyhedrality of the sets of balanced coalition plans of the models under consideration.
Keywords: model of a multiregional system, $k$-partitioning of a model, Edgeworth equilibrium, fuzzy $\mathbb Q$-kernel, Walras equilibrium.
Received: 10.02.2009
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 1, Pages 130–143
DOI: https://doi.org/10.1134/S1990478911010145
Bibliographic databases:
Document Type: Article
UDC: 333.1+519.86
Language: Russian
Citation: V. A. Vasil'ev, V. I. Suslov, “Edgeworth equilibrium in a model of interregional economic relations”, Sib. Zh. Ind. Mat., 13:1 (2010), 18–33; J. Appl. Industr. Math., 5:1 (2011), 130–143
Citation in format AMSBIB
\Bibitem{VasSus10}
\by V.~A.~Vasil'ev, V.~I.~Suslov
\paper Edgeworth equilibrium in a~model of interregional economic relations
\jour Sib. Zh. Ind. Mat.
\yr 2010
\vol 13
\issue 1
\pages 18--33
\mathnet{http://mi.mathnet.ru/sjim592}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2839583}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 1
\pages 130--143
\crossref{https://doi.org/10.1134/S1990478911010145}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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