Theory of Technical Change and Economic Invariance: Application of Lie Groups / Edition 2

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Editorial Reviews

Reprinted, with amendments, from the 1981 Academic Press edition, this volume comprises the first application of the Lie Theory to modern economics. Its nine chapters address a variety of topics in economic theory, ranging from the analysis of production functions to the general recoverability problem of optimal dynamic behavior. It is generally concerned with economic invariance problems of observable behavior under general transformations such as technical change and taste change. Of likely interest to economists, including scholars of industrial economics, innovation, econometrics, and microeconomics, this volume should also be suitable for advanced undergraduate courses, requiring only some knowledge of the basic elements of modern economic theory, as well as some elementary mathematics used in economics. Annotation c. Book News, Inc., Portland, OR (
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Product Details

Table of Contents

Ch. 1 An Overview
Ch. 2 Holotheticity of a Technology
Ch. 3 A Theory of Endogenous Technical Progress
Ch. 4 "G-Neutral" Technical Change, Comparative Statics, and Integrability Conditions
Ch. 5 Holotheticity of an Implicit Technology
Ch. 6 Self-Dual Preferences and Technologies
Ch. 7 Dynamic Symmetries and Economic Conservation Laws
Ch. 8 A Lie Group Approach to the Index Number Problems
Ch. 9 The Group Structure and the Theory of Observable Market Behavior
App A Brief Survey of Lie's Theory of Continuous Transformation Groups
Author Index
Subject Index
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