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Theory of technical change and economic invariance : application of Lie groups

Author: Ryūzō Satō
Publisher: New York : Academic Press, 1981.
Series: Economic theory, econometrics, and mathematical economics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Theory of Technical Change and Economic Invariance.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Satō, Ryūzō, 1931-
Theory of technical change and economic invariance
(DLC) 80068563
(OCoLC)7552416
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Ryūzō Satō
ISBN: 9781483276496 148327649X 9781322470795 1322470790
OCLC Number: 892068086
Description: 1 online resource (xv, 439 pages).
Contents: Front Cover; Theory of Technical Change and Economic Invariance; Copyright Page; Dedication; Table of Contents; Foreword; Preface; Chapter 1. An Overview; I. Introduction: Why Lie Groups?; II. Holotheticity: Invariance of Production Function under Technical Change; III. Theory of Endogenous Technical Progress; IV. G (Group)-Neutral Technical Change; V. Comparative Statics and Integrability Conditions; VI. Implicit Technology; VII. Self-Duality; VIII. Dynamic Symmetries and Economic Conservation Laws; IX. Invariance of Index Numbers; X. The Group Structure of Observable Market Behavior. Appendix: A Brief Survey of Lie's Theory of Continuous Transformation GroupsReferences; Chapter 2. Holotheticity of a Technology; I. Introduction and Motivation: Relative Significance of the Scale Economies and Technical Progress (the Solow-Stigler Controversy); II. Holotheticity and the Group Properties of Technical Progress Functions; III. Existence of General Holothetic Technology; IV. Existence of a Lie Type of Technical Progress; V. Structures of Holothetic Technology; VI. Holothetic Technologies under Special Types of Technical Change; VII. Simultaneous Holotheticity. VIII. Multifactor GeneralizationIX. Estimation of Technical Change; References; Chapter 3. A Theory of Endogenous Technical Progress; I. Introduction; II. Formulation of the Model; III. Solution of the Model; IV. Analysis of the Solution; Mathematical Appendix; References; Chapter 4. ""G-Neutral"" Technical Change, Comparative Statics, and Integrability Conditions; I. ""G-Neutral"" Types of Technical Change; II. Comparative Statics under r-Parameter Infinitesimal Transformations; III. Integrability Conditions; References; Chapter 5. Holotheticity of an Implicit Technology. I. Introduction and MotivationII. Implicit Formulation of a Technology Holothetic under a Given Lie Type of Technical Progress; III. General Nonexistence Theorem of a Lie Type of Technical Progress for a Given Implicit Technology; IV. Special Types of Implicit Technologies; V. Analysis of Implicit Technology by r-Parameter Lie Type of Technical Change; VI. Two-Parameter Groups and Holotheticity of Degree 2; VII. Projective Holotheticity: Holotheticity of Degree 8; VIII. Classification of Implicit CES and Related Technologies; Mathematical Appendix; References. Chapter 6. Self-Dual Preferences and TechnologiesI. Introduction: Why Self-Duality?; II. ""Exact"" (or Strong) Self-Duality; III. Uniform and Self-Dual Demand Functions; IV. Weakly Self-Dual Demand Functions; V. Special Cases of Self-Dual Demand Functions; VI. Method of Deriving Self-Dual Demand Functions by Infinitesimal Transformations; VII. Implicit Self-Duality: Duality of Production and Cost Functions; VIII. Uniformity and Implicit Self-Duality; IX. Duality of Scale Effect between Production and Cost Functions; References; Chapter 7. Dynamic Symmetries and Economic Conservation Laws.
Series Title: Economic theory, econometrics, and mathematical economics.
Other Titles: Economic invariance.
Responsibility: Ryūzō Satō.

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Theory of Technical Change and Economic Invariance.

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