Market demand. An analysis of large economics with non-convex preferences
type: Item
instance of: scholarly article
title: Market demand. An analysis of large economics with non-convex preferences
zbMATH Open document ID: 0557.90002
author: Walter Trockel
published in: Lecture Notes in Economics and Mathematical Systems
publication date: 1984-01-01T00:00:00Z
review text: The author writes in the Preface: ''The monograph is a synthesis of what has been contributed during the last decade to the analysis of market demand in large economies where consumers may have non-convex preferences... The main part of the analysis consists of chapters 5 to 7. The heart of the whole work is chapter 6 which presents the 'ergodic approach' to smoothing demand by aggregation, jointly developed by E. and H. Dierker and myself''. An alternative approach, parametric, originated by Sondermann, is presented in chapter 4. Other approaches which include results of Mas-Colell, Hildenbrand and Anderson are reviewed in chapter 7. The first four chapters, considered as introductory, are concerned with general problems of demand, equilibria, smoothing demand by aggregation, spaces of preferences and large economies. Specific problems analysed in chapters 5 through 7 include: the dispersion of consumers' tastes, continuity and differentiability of the mean demand function. The author's approach is mainly based on the methods of measure theory and differential topology, including some elements of catastrophe theory.
reviewed by: Andrzej Wieczorek
Mathematics Subject Classification ID: 91B08
Mathematics Subject Classification ID: 90-02
Mathematics Subject Classification ID: 91B24
Mathematics Subject Classification ID: 91B60
Mathematics Subject Classification ID: 57R45
Mathematics Subject Classification ID: 58K35
zbMATH DE Number: 3889212
zbMATH Keywords: non-convex preferences
zbMATH Keywords: differentiable mean demand
zbMATH Keywords: ergodic approach
zbMATH Keywords: smoothing demand by aggregation
zbMATH Keywords: spaces of preferences
zbMATH Keywords: large economies
zbMATH Keywords: measure theory
zbMATH Keywords: differential topology
zbMATH Keywords: catastrophe theory
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3889212