On a market equilibrium theorem with an infinite number of commodities
type: Item
instance of: scholarly article
title: On a market equilibrium theorem with an infinite number of commodities
zbMATH Open document ID: 0581.90010
DOI: 10.1016/0022-247X(85)90047-2
author: Nicholas C. Yannelis
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: The paper contains a proof of a generalization of the Gale-Nikaido-Debreu market equilibrium theorem, which asserts that any market excess demand function, satisfying some standard assumptions, has a zero, which corresponds to an equilibrium. The theorem, originally proved for finite Euclidean spaces, is proved for Hausdorff locally convex linear topological spaces, and thus for equilibrium models with an infinite number of commodities. In the proof a selection theorem for correspondences is used. The result is compared to other work, particularly to \textit{C. D. Aliprantis} and \textit{D. J. Brown} [J. Math. Econ. 11, 189-207 (1983; Zbl 0502.90006)].
Mathematics Subject Classification ID: 91B50
Mathematics Subject Classification ID: 54C65
zbMATH DE Number: 3930673
zbMATH Keywords: generalization
zbMATH Keywords: Gale-Nikaido-Debreu market equilibrium theorem
zbMATH Keywords: Hausdorff locally convex linear topological spaces
zbMATH Keywords: infinite number of commodities
zbMATH Keywords: selection theorem for correspondences
reviewed by: Claus Weddepohl
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3930673