| Topological Methods in Walrasian Economics Softcover Repri Edition Contributor(s): Dierker, E. (Author) |
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ISBN: 3540066225 ISBN-13: 9783540066224 Publisher: Springer OUR PRICE: $113.99 Product Type: Paperback Published: February 1974 |
| Additional Information |
| BISAC Categories: - Business & Economics | Economics - Theory - Mathematics | Applied - Business & Economics | Econometrics |
| Dewey: 330 |
| Series: Lecture Notes in Economic and Mathematical Systems |
| Physical Information: 0.3" H x 6.69" W x 9.61" (0.52 lbs) 131 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: In winter 71/72 I held a seminar on general equilibrium theory for a jOint group of students in mathematics and in econo- mics at the university of Bonn, w.Germany1 The economists, how- ever, had a mathematical background well above the average - Most of the material treated in that seminar is described in these notes. The connection between smooth preferences and smooth demand func- tions see Debreu (1972) ] and regular economies based on agents with smooth preferences are not presented here - Some pedagogical difficulties arose from the fact that elementary knowledge of algebraic topology is not assumed although it is helpful and indeed necessary to make some arguments precise - It is only a minor restriction, at present, that functional ana- lysis is not used - But with the development of the theory more economic questions will be considered in their natural infinite dimensional setting - Economic knowledge is not required, but especially a reader without economic background will gain much by reading Debreu's classic "Theory of Value" (1959) - Although the formulation of our economic problem uses a map between Euclidean spaces only, we shall also consider ma- folds - Manifolds appear in our situation because inverse images under differentiable mappings between Euclidean spaces are very often differentiable manifolds - ( Under differentiability assump- tions, for instance, the graph of the equilibrium set correspon- |