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Multi-Output Production and Duality: Theory and Applications

Our original reason for writing this book was the desire to write down in one place a complete summary of the major results in du­ ality theory pioneered by Ronald W. Shephard in three of his books, Cost and Production Functions (1953), Theory of Cost and Produc­ tion Functions (1970), and Indirect...

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Bibliographic Details
Main Authors: Färe, Rolf, Primont, Daniel (Author)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1995, 1995
Edition:1st ed. 1995
Subjects:
Microeconomics
Quantitative Economics
Econometrics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Theories of the Firm Through Duality
  • 1.1 The Different Behavioral Assumptions
  • 1.2 Using Duality Theory to Overcome Data Problems
  • 1.3 The Completion of Ronald W. Shephard’s Duality
  • 1.4 Remarks on the Literature
  • 2 Distance Functions
  • 2.1 Input and Output Distance Functions
  • 2.2 Efficiency Measurement
  • 2.3 Quantity Index Applications
  • 2.4 Modelling Returns to Scale
  • 2.5 Remarks on the Literature
  • 3 Cost and Revenue Functions
  • 3.1 Duality Theorems
  • 3.2 Derivative Properties of Cost and Revenue Functions
  • 3.3 Shadow Pricing of Inputs and Outputs
  • 3.4 Overall Efficiency Measurement
  • 3.5 Price Indexes
  • 3.6 Inverse Homotheticity
  • 3.7 Remarks on the Literature
  • 3.A Appendix
  • 4 Indirect Distance Functions
  • 4.1 Cost and Revenue Constrained Firms
  • 4.2 Dualities
  • 4.3 Derivative Properties of the Indirect Distance Functions
  • 4.4 Nonparametric Testing
  • 4.5 Remarks on the Literature
  • 4.A Appendix
  • 5 Indirect Cost and Revenue Functions
  • 5.1 Duality Theorems
  • 5.2 Derivative Properties
  • 5.3 Cost Benefit Analysis
  • 5.4 Remarks on the Literature
  • 5.A Appendix
  • 6 The Profit Function
  • 6.1 Duality Theorems
  • 6.2 The Profit, Cost, and Revenue Functions
  • 6.3 The Profit, Indirect Input Distance and Indirect Output Distance Functions
  • 6.4 The Profit, Indirect Cost and Indirect Revenue Functions
  • 6.5 Remarks on the Literature
  • 7 Towards Empirical Applications
  • 7.1 An Overview
  • 7.2 Monotonicity, Homogeneity and Convexity
  • 7.3 Homogeneous and Inversely Homothetic Technologies
  • 7.4 Functional Forms
  • 7.5 Remarks on the Literature
  • References
  • Author Index

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