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© 1978

Set Valued Dynamical Systems and Economic Flow

Book

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 158)

Table of contents

  1. Front Matter
    Pages N2-VIII
  2. Louis J. Cherene Jr.
    Pages 1-3
  3. Louis J. Cherene Jr.
    Pages 4-15
  4. Louis J. Cherene Jr.
    Pages 34-41
  5. Louis J. Cherene Jr.
    Pages 61-76
  6. Louis J. Cherene Jr.
    Pages 85-85
  7. Back Matter
    Pages 77-89

About this book

Introduction

The purpose of this monograph is to illuminate the central issues of dynamic analysis applied to economic models, using a generally accepted language of the study of dynamical systems at a level of sophistication likely to be understood by an economist versed in elementary topology. Whether an economic system is governed by a first order difference equation or several simultaneous multivalued partial differential equations, its solution is a flow that determines the state of the system given an initial condition and elapsed time. Thus the flow of a system is the central concept from which the theory here expounded develops. The explicit examples and applications herein are discrete time models, but the theoretical re­ sults hold for continuous time models as well. The supplementary bibliography in­ cludes several papers at the frontier of set-valued dynamics which may be viewed using the basic concepts defined in this text; all of these works involve demon­ strating that (almost) all possible trajectories that a system may follow converge to some set of equilibria. The application of set valued dynamical analysis to economic models is pro~ vided to engender in the reader an appreciation for the relevance of these con­ cepts to economic theory.

Keywords

Wachstum Wachstum (Wirtsch.) dynamical systems economic growth economic systems economic theory gender population population growth rating

Authors and affiliations

  1. 1.Modelling Research Group, Department of EconomicsUniversity of Southern CaliforniaUniversity Park, Los AngelesUSA

Bibliographic information

  • Book Title Set Valued Dynamical Systems and Economic Flow
  • Authors L. J. Jr. Cherene
  • Series Title Lecture Notes in Economics and Mathematical Systems
  • DOI https://doi.org/10.1007/978-3-642-45504-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 1978
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-08847-9
  • eBook ISBN 978-3-642-45504-9
  • Series ISSN 0075-8442
  • Edition Number 1
  • Number of Pages VIII, 83
  • Number of Illustrations 1 b/w illustrations, 0 illustrations in colour
  • Topics Economic Policy
    Business and Management, general
    Social Sciences, general
  • Buy this book on publisher's site