AGGREGATION PROBLEMS IN CONSUMER THEORY A ND EXTERIOR DIFFERENTIAL-CALCULUS

Authors
CHIAPPORI PA EKELAND I
Citation
Pa. Chiappori et I. Ekeland, AGGREGATION PROBLEMS IN CONSUMER THEORY A ND EXTERIOR DIFFERENTIAL-CALCULUS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(5), 1996, pp. 565-570
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
323
Issue
5
Year of publication
1996
Pages
565 - 570
Database
ISI
SICI code
0764-4442(1996)323:5<565:APICTA>2.0.ZU;2-K
Abstract
We investigate under which conditions a smooth function p --> x(p) of R(n) is the demand function of a collectivity. Two particular versions of this problem have attracted specific attention in the literature: the characterization of household demand and that of aggregate market demand las stemming from the addition of a large number of individual demand functions). Using Cartan's exterior differential calculus,we re consider two open problems, and show they can be solved for analytical functions.