This article is cited in 1 paper

The proof of existence of market equilibrium by means of variational inequality

A. A. Shananin

Dorodnitsyn Computing Centre of the Russian Academy of Sciences

Abstract: The duality theorem for generalized programming problems in Banach spaces is proved. The proof of existence of market equilibrium in Arrow–Debreu model is proposed. This proof based on the analysis of variational inequalities. The problem of existence of market equilibrium in the model with transaction costs reduced to the problem of existence of variational inequality solution.

Received: 07.02.2000

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