The limit theorem on the core of a production economy in vector lattices with unordered preferences
type: Item
instance of: scholarly article
title: The limit theorem on the core of a production economy in vector lattices with unordered preferences
zbMATH Open document ID: 0942.91058
author: R. Tourky
published in: Economic Theory
publication date: 2000-05-10T00:00:00Z
review text: The author proves the theorem of \textit{C. D. Aliprantis}, \textit{D. J. Brown} and \textit{O. Burkinshaw} [Econometrica 55, 1109-1137 (1987; Zbl 0636.90008)] on the equivalence of Edgeworth production equilibria and pseudo-equilibria in a more general setting. He considers production economies with unordered preferences and general consumption sets in a vector lattice commodity space. He adapts the approach of \textit{A. Mas-Colell}, \textit{S. F. Richard}, [J. Econ. Theory 53, 1-11 (1991; Zbl 0723.90008)] and proves his theorem by applying a separating hyperplane argument in the space of all allocations. He also generalizes \textit{K. Podczeck} [J. Math. Econ. 25, 465-485 (1996; Zbl 0873.90016)], important result on the relationship between continuous and discontinuous equilibrium prices to the case of production.
Mathematics Subject Classification ID: 91B50
Mathematics Subject Classification ID: 91B38
zbMATH DE Number: 1331002
zbMATH Keywords: Riesz space
zbMATH Keywords: vector lattice
zbMATH Keywords: uniform properness
zbMATH Keywords: limit theorem on the core
zbMATH Keywords: production economy
MaRDI profile type: Publication
full work available at URL: s001990050289
OpenAlex ID: W3122405449
DOI: 10.1007/S001990050289
description: scientific article; zbMATH DE number 1331002