Applying exterior differential calculus to economics: a presentation and some new results

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Date
2004
Dewey
Probabilités et mathématiques appliquées
Sujet
Exterior differential calculus; Aggregation; Aggregate demand; Cartan–Kähler theorem
JEL code
C60
Journal issue
Japan and the World Economy
Volume
16
Number
3
Publication date
2004
Article pages
363-385
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/j.japwor.2004.02.003
URI
https://basepub.dauphine.fr/handle/123456789/6426
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Author
Chiappori, Pierre-André
Ekeland, Ivar
Type
Article accepté pour publication ou publié
Abstract (EN)
The paper provides an introduction to exterior differential calculus, and an application to the standard problem of the characterization of aggregate demand in an economy in which the number of agents is smaller than the number of goods.