A characterization of monotone individual demand functions
type: Item
instance of: scholarly article
title: A characterization of monotone individual demand functions
zbMATH Open document ID: 0674.90005
DOI: 10.1016/0304-4068(89)90007-4
author: Yakar Kannai
published in: Journal of Mathematical Economics
publication date: 1989-01-01T00:00:00Z
review text: \textit{L. G. Mityushin} and \textit{W. M. Polterovich} [Ekonom. Mat. Metody 14, 122-128 (1978; Zbl 0408.90009)] have obtained a condition for the monotonicity of the demand function of an individual possessing a twice continuously differentiable utility function and involving such a utility function. Here monotonicity is characterized by means of differential geometric properties of the indifference surfaces and of the Engel curves. It turns out that those necessary and sufficient conditions can be regarded as a variant of the Mityushin-Polterovich condition specialized to a least concave utility function [see \textit{G. Debreu}, ibid. 3, 121-129 (1976; Zbl 0361.90007); and the author, ibid. 4, 1-56 (1977; Zbl 0361.90008)]. The results are extended to points where demand is not differentiable.
Mathematics Subject Classification ID: 91B16
Mathematics Subject Classification ID: 91B08
Mathematics Subject Classification ID: 53A05
zbMATH DE Number: 4104655
zbMATH Keywords: monotonicity of the demand function
zbMATH Keywords: indifference surfaces
zbMATH Keywords: Engel curves
MaRDI profile type: Publication
full work available at URL: 0304-4068(89)90007-4
OpenAlex ID: W2048955005
cites work: Smooth Preferences
cites work: On the demand generated by a smooth and concavifiable preference ordering
cites work: Concavifiability and constructions of concave utility functions
cites work: Q3792443
cites work: Q4074628
cites work: Q4196200
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description: scientific article; zbMATH DE number 4104655