Princeton University Press
Theory of Cost and Production Functions
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About this book
A sequel to his frequently cited Cost and Production Functions (1953), this book offers a unified, comprehensive treatment of these functions which underlie the economic theory of production.
The approach is axiomatic for a definition of technology, by mappings of input vectors into subsets of output vectors that represent the unconstrained technical possibilities of production. To provide a completely general means of characterizing a technology, an alternative to the production function, called the Distance Function, is introduced.
The duality between cost function and production function is developed by introducing a cost correspondence, showing that these two functions are given in terms of each other by dual minimum problems.
The special class of production structures called Homothetic is given more general definition and extended to technologies with multiple outputs.
Originally published in 1971.
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Frontmatter
i -
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Preface
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Table of Contents
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Chapter 1. Introduction
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Chapter 2. The Producton Functon
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Chapter 3. The Distance Function of a Production Structure
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Chapter 4. The Factor Minimal Cost Function
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Chapter 5. The Cost Structure
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Chapter 6. The Aggregation Problem for Cost and Production Functions
114 -
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Chapter 7. The Price Minimal Cost Function
147 -
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Chapter 8. Duality of Cost and Production Structures and Related Functions
159 -
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Chapter 9. Production Correspondences
178 -
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Chapter 10. Cost and Benefit (Revenue) Functions for Production Correspondences, and the Related Cost, Benefit (Revenue), Cost-Limited-Output and Benefit (Revenue)-Afforded-Input Correspondences
223 -
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Chapter 11. Dualities for Production Correspondences
261 -
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Appendix 1. Mathematical Concepts and Theorems for Semi-Continuity and Quasi-Concavity (Convexity)
295 -
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Appendix 2. Mathematical Concepts and Propositions for Correspondences
298 -
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Appendix 3. Utility Functions
301 -
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Index
306