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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 201–207
(Mi timm854)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/timm854 https://www.mathnet.ru/eng/timm/v18/i3/p201
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