Production Sets - 1st Edition - ISBN: 9780124041400, 9781483271354

Production Sets

1st Edition

Editors: Murray C. Kemp
eBook ISBN: 9781483271354
Imprint: Academic Press
Published Date: 1st January 1982
Page Count: 174
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Production Sets is a 12-chapter text that provides a comprehensive account of the properties of production sets.

After a brief history of the analysis of production set possibilities, this book goes on examining the flatness of the transformation surface and the properties of production set possibilities with pure intermediate products. The succeeding chapters cover the shape aspects of production sets and the nonsubstitution over the production-possibility frontier. These topics are followed by discussions of some implications of variable returns to scale, specifically the relation between output responses and the shape of the locus of production possibilities. The final chapters explore the production-possibility set with public intermediate goods and the scale effect of public goods on production-possibility sets. These chapters also look into the properties of the per capita production set in the two-sector model of economic growth.

This book will prove useful to economists, teachers, and students.

Table of Contents

List of Contributors


1 A Baedeker

1. The Production Set of a Single Country—Nonjoint Production

2. The World Production Set

3. Joint Production

4. Variable Returns to Scale

5. Public Intermediate Goods

6. Exhaustible Resources

7. The 2 x 2 Model of Production

8. Final Remarks


2 On the Flatness of the Transformation Surface

1. Introduction

2. Assumptions

3. Analysis


3 The Properties of the Set of Production Possibilities with Pure Intermediate Products

1. Introduction

2. The Model and the Assumptions

3. Analysis


4 On the Shape of the World Production Frontier

1. Introduction

2. Analysis

3. Extensions and Specializations


5 On the Shape of the Single-Country and World Commodity-Substitution and Factor-Substitution Surfaces Under Conditions of Joint Production

1. Introduction

2. A Single Country

3. The World

4. An Extension


6 Nonsubstitution Over the Production-Possibility Frontier

1. Introduction

2. Nonsubstitution with One Primary Resource and without Joint Products

3. Nonsubstitution with Many Primary Resources and with Joint Products

4. Quality

5. Concluding Remark


7 Some Implications of Variable Returns to Scale

1. Introduction

2. Restrictions on Production Functions and Factor Supplies

3. The Shape of the Neoclassical Locus of Production Possibilities

4. The Relation Between Commodity Prices and Equilibrium Outputs

5. The Relation Between Output Responses and the Shape of the Locus of Production Possibilities

6. Generalizations

Appendix: A Reply to the Criticisms of Wolfgang Mayer


8 Further Implications of Variable Returns to Scale

1. Introduction

2. Assumptions and Definitions

3. The Production Transformation Locus and the Locus of Competitive Outputs

4. Prices, Outputs, and Relative Factor Rewards

5. The Stolper-Samuelson Theorem

6. The Rybczynski Theorem


9 The Production-Possibility Set with Public Intermediate Goods

1. Introduction

2. Assumptions

3. Analysis


10 The Scale Effect of Public Goods on Production-Possibility Sets

1. Introduction

2. The 2 x 1 x 1 Case

3. Set-Theoretic Considerations in the General Case

4. Conclusion


11 Exhaustible Resources and the Set of Feasible Present-Value Production Points

1. Introduction

2. Properties of the Set of Production Points

3. Application

4. Final Remarks—Renewable Resources


12 Some Properties of the per Capita Production Set in the Two-Sector Model of Economic Growth

1. Introduction

2. Properties of the per Capita Production Set

3. Applications




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© Academic Press 1982
Academic Press
eBook ISBN:

About the Editor

Murray C. Kemp

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