RUS  ENG
Full version
JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2012 Volume 18, Number 3, Pages 201–207 (Mi timm854)

This article is cited 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.

UDC: 519.658.4

Received: 12.03.2012



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024