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Topological Methods in Walrasian Economics

  • Egbert Dierker

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 92)

Table of contents

  1. Front Matter
    Pages N1-V
  2. Egbert Dierker
    Pages 3-14
  3. Egbert Dierker
    Pages 15-24
  4. Egbert Dierker
    Pages 40-46
  5. Egbert Dierker
    Pages 47-55
  6. Egbert Dierker
    Pages 56-66
  7. Egbert Dierker
    Pages 89-95
  8. Egbert Dierker
    Pages 96-103
  9. Egbert Dierker
    Pages 117-125
  10. Back Matter
    Pages 126-133

About this book

Introduction

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

Keywords

agents economics economy equilibrium general equilibrium general equilibrium theory linear optimization mathematics

Authors and affiliations

  • Egbert Dierker
    • 1
  1. 1.Wirtschaftstheoretische AbteilungInst, für Gesellschafts- und WirtschaftswissenschaftenBonnGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-65800-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1974
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-06622-4
  • Online ISBN 978-3-642-65800-6
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site
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