The Dynamic Systems of Basic Economic Growth Models

  • Bjarne S. Jensen

Part of the Mathematics and Its Applications book series (MAIA, volume 302)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Introduction and Overview

    1. Front Matter
      Pages 17-17
    2. Bjarne S. Jensen
      Pages 1-16
  3. Basic Economic Growth Models — An Axiomatic Approach

    1. Front Matter
      Pages 31-31
    2. Bjarne S. Jensen
      Pages 19-30
    3. Basic One-Sector Growth Models

      1. Bjarne S. Jensen
        Pages 33-56
      2. Bjarne S. Jensen
        Pages 67-72
      3. Bjarne S. Jensen
        Pages 73-74
      4. Bjarne S. Jensen
        Pages 75-88
      5. Bjarne S. Jensen
        Pages 89-98
    4. Basic Two-Sector Growth Models

      1. Bjarne S. Jensen
        Pages 123-141
      2. Bjarne S. Jensen
        Pages 142-154
      3. Bjarne S. Jensen
        Pages 155-157
      4. Bjarne S. Jensen
        Pages 159-159
  4. Basic Dynamic Systems

    1. Front Matter
      Pages 161-161
    2. Bjarne S. Jensen
      Pages 163-209
    3. Bjarne S. Jensen
      Pages 211-258
    4. Peter Gross, Bjarne Sloth Jensen
      Pages 259-275

About this book

Introduction

Two central problems in the pure theory of economic growth are analysed in this monograph: 1) the dynamic laws governing the economic growth processes, 2) the kinematic and geometric properties of the set of solutions to the dynamic systems. With allegiance to rigor and the emphasis on the theoretical fundamentals of prototype mathematical growth models, the treatise is written in the theorem-proof style. To keep the exposition orderly and as smooth as possible, the economic analysis has been separated from the purely mathematical issues, and hence the monograph is organized in two books. Regarding the scope and content of the two books, an "Introduction and Over­ view" has been prepared to offer both motivation and a brief account. The introduc­ tion is especially designed to give a recapitulation of the mathematical theory and results presented in Book II, which are used as the unifying mathematical framework in the analysis and exposition of the different economic growth models in Book I. Economists would probably prefer to go directly to Book I and proceed by consult­ ing the mathematical theorems of Book II in confirming the economic theorems in Book I. Thereby, both the independence and interdependence of the economic and mathematical argumentations are respected.

Keywords

Keynes calculus economic growth growth growth model linear algebra production

Authors and affiliations

  • Bjarne S. Jensen
    • 1
  1. 1.Copenhagen Business SchoolCopenhagenDenmark

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-011-1036-5
  • Copyright Information Kluwer Academic Publishers 1994
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-4451-6
  • Online ISBN 978-94-011-1036-5
  • About this book
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