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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 201–207 (Mi timm854)  

This article is cited in 1 scientific paper (total in 1 paper)

Iterative methods for equilibrium search in the partial Arrow–Debreu–Stone exchange model

L. D. Popovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
Full-text PDF (154 kB) Citations (1)
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Abstract: Iterative methods are proposed for equilibrium price search in the Arrow–Debre model with Stone's multiplicative utility functions. The methods converge under weak initial assumptions and allow for a conceptual interpretation in economic terms. Strict convergence theorems supported by numerical experiments are presented. The paper continues the author's investigations conducted earlier for Cobb–Douglas multiplicative functions.
Keywords: economic equilibrium, exchange model, multiplicative utility function, split methods.
Received: 12.03.2012
Bibliographic databases:
Document Type: Article
UDC: 519.658.4
Language: Russian
Citation: L. D. Popov, “Iterative methods for equilibrium search in the partial Arrow–Debreu–Stone exchange model”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 201–207
Citation in format AMSBIB
\Bibitem{Pop12}
\by L.~D.~Popov
\paper Iterative methods for equilibrium search in the partial Arrow--Debreu--Stone exchange model
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 3
\pages 201--207
\mathnet{http://mi.mathnet.ru/timm854}
\elib{https://elibrary.ru/item.asp?id=17937026}
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  • https://www.mathnet.ru/eng/timm/v18/i3/p201
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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