Invariance Principles and the Structure of Technology

  • Ryuzo Sato
  • Takayuki Nôno

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 212)

Table of contents

  1. Front Matter
    Pages N2-v
  2. Ryuzo Sato, Takayuki Nôno
    Pages 1-5
  3. Back Matter
    Pages 90-99

About this book


The theory of Lie groups has proven to be a most powerful analytical tool in many areas of modern scientific endeavors. It was only a few years ago that economists discovered the usefulness of this approach in their study of the frontiers of modern economic theory. These frontiers include the areas of technical change and productivity, technology and preference, economic conservation laws, comparative statics and integrability conditions, index number problems, and the general theory of ~ observable market behavior (Sato [1980, 1981], Nono [1971], Sato and N~no [1983], Russell [1983]). 1 In Nono [1971] and Sa to [1981, Chapter 4] the concept of "G-neutral" (group neutral) technical change was first introduced as a natural extension of the well-known concepts of Hicks, Harrod, Solow and Sato-Beckmann-Rose neutrality. The present monograph contains a further extension of the G-neutral technical change to the case of non-constant-returns-to-scale technology and to the case of multiple factor inputs. The methodology of total productivity estimation by means of Lie group transformations is also developed in this monograph. We would like to express our sincere thanks to many individuals notably to Professor M. J. Beckmann, Professor F. Mimura, Professor G. Suzawa, T. Mitchell, K. Mino and P. Calem, for their numerous contributions at various stages of this work. We are also grateful to Marion Wathey for her usual superb typing of this difficult manuscript. Providence, R. I. , U. S. A.


Liesche Gruppe Makroökonomische Produktionsfunktion Technischer Fortschritt economic theory invariance macroeconomics production productivity science and technology transformation value-at-risk

Authors and affiliations

  • Ryuzo Sato
    • 1
    • 2
  • Takayuki Nôno
    • 3
  1. 1.Department of EconomicsBrown UniversityProvidenceUSA
  2. 2.J.F. Kennedy School of GovernmentHarvard UniversityCambridgeUSA
  3. 3.Department of MathematicsFukuoka University of EducationMunakata, FukuokaJapan

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1983
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-12008-7
  • Online ISBN 978-3-642-45545-2
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site
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