Economic equilibrium: Optimality and price decentralization
type: Item
instance of: scholarly article
title: Economic equilibrium: Optimality and price decentralization
zbMATH Open document ID: 1024.91017
DOI: 10.1023/A:1020240410066
published in: Positivity
publication date: 2003-03-12T00:00:00Z
review text: The goal of the paper under review is to present a mathematically precise formalism of the market equilibrium concept and its role in the mathematical economics. After an extensive introduction to the development of the market and general equilibrium models and their components, the attention is focused on the convex exchange economies and non-convex production economies. The main results regard the role of positivity in the theory of convex economic analysis, and the role of normal cones in the theory of non-convex economies. The number of 118 references representatively covers the main sources of the presented approaches to the market models.
reviewed by: Milan Mareš
Mathematics Subject Classification ID: 91B50
Mathematics Subject Classification ID: 91B26
Mathematics Subject Classification ID: 47N10
Mathematics Subject Classification ID: 91B60
Mathematics Subject Classification ID: 91B62
Mathematics Subject Classification ID: 46N10
zbMATH DE Number: 1880383
zbMATH Keywords: equilibrium
zbMATH Keywords: Pareto optimum
zbMATH Keywords: supporting price
zbMATH Keywords: properness
zbMATH Keywords: marginal cost pricing
zbMATH Keywords: vector lattice
zbMATH Keywords: ordered vector space
zbMATH Keywords: Riesz-Kantorovich formula
zbMATH Keywords: normal cone
zbMATH Keywords: separation theorem
author: Charalambos D. Aliprantis
author: Bernard Cornet
author: R. Tourky
MaRDI profile type: Publication
full work available at URL: a:1020240410066
OpenAlex ID: W1974462933
description: scientific article; zbMATH DE number 1880383