Lecture Notes in Economics and Mathematical Systems

Set Valued Dynamical Systems and Economic Flow

Authors: Cherene, L. J. Jr.

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About this book

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.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-3-642-45504-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.99
price for USA in USD
  • ISBN 978-3-540-08847-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Set Valued Dynamical Systems and Economic Flow
Authors
Series Title
Lecture Notes in Economics and Mathematical Systems
Series Volume
158
Copyright
1978
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-45504-9
DOI
10.1007/978-3-642-45504-9
Softcover ISBN
978-3-540-08847-9
Series ISSN
0075-8442
Edition Number
1
Number of Pages
VIII, 83
Number of Illustrations
1 b/w illustrations
Topics