Topological Methods in Walrasian Economics: 92 (Lecture Notes in Economics and Mathematical Systems, 92) - Softcover

Dierker, E.

Softcover

ISBN 10: 3540066225 ISBN 13: 9783540066224

Publisher: Springer, 1974

Synopsis

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

Edition details

• Publisher: Springer
• Publication date: 1974
• Language: English
• ISBN 10: 3540066225
• ISBN 13: 9783540066224
• Binding: Paperback
• Number of pages: 137