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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2006 Volume 46, Number 10, Pages 1771–1783 (Mi zvmmf396)

This article is cited in 6 papers

Extraproximal approach to calculating equilibriums in pure exchange models

A. S. Antipin

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

Abstract: Models of economic equilibrium are a powerful tool of mathematical modeling of various markets. However, according to many publications, there are as yet no universal techniques for finding equilibrium prices that are solutions to such models. A technique of this kind that is a natural implementation of the Walras idea of tatonnements (i.e., groping for equilibrium prices) is proposed, and its convergence is proved.

Key words: model of economic equilibrium, extraproximal method, convergence.

UDC: 519.658

Received: 06.02.2006
Revised: 23.05.2006


 English version:
Computational Mathematics and Mathematical Physics, 2006, 46:10, 1687–1698

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