Invariance Principles and the Structure of Technology
by Ryuzo Sato, Takayuki Nôno
1. Introduction -- 2. Lie Group Methods and the Theory of Estimating Total Productivity -- I. Holotheticity and the Scale Effect -- II. The Lie Operator Technique for Estimating Productivity -- III. The Effect of Technical Progress Represented by New Forms of the Production Function -- 3. Invariance Principle and “G-Neutral” Types of Technical Change -- I. Introduction -- II. “Neutral Types” of Technical Progress 30 -- III. “G-Neutral” Types of Technical Change -- IV. G-Neutral Technical Change Generated by the One-Parameter Lie Subgroups of GP(2, R) -- V. G3-Types of Neutral Technical Change -- VI. Invariance of the Regularity Conditions Under Technical Change -- 4. Analysis of Production Functions by “G-Neutral” Types of Technical Change -- I. Introduction and Summary -- II. G-Neutral Technical Change 53 -- III. Symmetry Groups of Neutral Technical Changes -- IV. G3-Family of Neutrality -- V. Sato-Beckmann Types of Neutral Technical Changes -- 5. Neutrality of Inventions and the Structure of Production Functions -- I. Introduction and Summary -- II. G-Neutral Technical Change -- III. Symmetry Groups of Neutral Technical Changes -- IV. Hicks-Harrod-Solow Family of Neutral Technical Change -- References.