Articles liés à Topological Methods in Walrasian Economics

Topological Methods in Walrasian Economics - Couverture souple

Dierker, E.

 
9783540066224: Topological Methods in Walrasian Economics
Couverture souple
ISBN 10 : 3540066225 ISBN 13 : 9783540066224
Editeur : Springer Berlin Heidelberg, 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

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de la quatrième de couverture

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer Berlin Heidelberg
Date d'édition
1974
Langue
anglais
ISBN 10 
3540066225
ISBN 13 
9783540066224
Reliure
Broché
Nombre de pages
131
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