Utility and production functions: theory and applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford u.a.
Blackwell
1994
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 226 S. |
| ISBN: | 1557864179 |
Internformat
MARC
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| 100 | 1 | |a Chung, Jae W. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Utility and production functions |b theory and applications |c Jae Wan Chung |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Oxford u.a. |b Blackwell |c 1994 | |
| 300 | |a XIV, 226 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Fonctions de production (Théorie économique) | |
| 650 | 4 | |a Funciones de producción (Teoría económica) | |
| 650 | 7 | |a Productiefuncties |2 gtt | |
| 650 | 7 | |a Utilitarisme |2 gtt | |
| 650 | 4 | |a Utilité (Économie politique) - Modèles mathématiques | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Production functions (Economic theory) | |
| 650 | 4 | |a Utility theory |x Mathematical models | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
List of Figures x
Preface xi
Acknowledgments xiii
Introduction 1
Part I Utility Functions 5
1 The Linear Logarithmic Utility Function 7
1.1 The Function and its Properties 8
1.2 Consumer Demand Function 10
1.3 Price and Income Elasticities 11
1.4 Engel Expenditure System 12
1.5 Duality, Expenditure Shares, and Elasticities 14
1.6 Empirical Remarks 16
1.7 Summary 17
2 The Stone Geary Utility Function 20
2.1 The Function and its Properties 21
2.2 Consumer Demand Function 22
2.3 Stone Geary Linear Expenditure System 25
2.4 Dual Approach to the Expenditure Share Functions
and Allen Uzawa Partial Elasticities of Substitution 26
2.5 Empirical Remarks 27
vi Contents
2.6 Summary 29
Appendix 30
3 The Houthakker Addilog Utility Function 33
3.1 Additivity and its Consequences 34
3.2 The Direct Addilog Utility Function and the
Expenditure Share Functions 40
3.3 Indirect Addilog Utility Function and the
Expenditure Share Functions 42
3.4 Elasticities 43
3.5 Empirical Remarks 44
3.6 Summary 45
4 The Rotterdam System of Demand Functions 47
4.1 General Features of the Utility Function 48
4.2 The Fundamental Matrix Equation of the Theory
of Consumer Demand under Almost Additive
Preferences 48
4.3 Demand Equations in Infinitesimal Changes 52
4.4 Empirical Remarks 54
4.5 Summary 55
5 The Constant Elasticity of Substitution Utility Function
and Its Generalization 57
5.1 The Constant Elasticity of Substitution Utility
Function and its Properties 58
5.2 The S Branch Utility Function and its Properties 60
5.3 Empirical Remarks 63
5.4 Summary 64
6 The Transcendental Logarithmic Utility Function 67
6.1 Direct and Indirect Utility Functions and
Expenditure Shares 68
6.2 Properties of the Indirect Utility Function 69
6.3 Elasticities 72
6.4 The Almost Ideal Demand System 73
6.5 Empirical Remarks 74
6.6 Summary 75
Appendix 76
7 The Constant Elasticity of Substitution Translog Utility
Function 81
L
Contents vii
7.1 The Function and its Properties 82
7.2 Expenditure Share Functions and Elasticities 84
7.3 Empirical Remarks 85
7.4 Summary 86
Appendix 86
Part II Production Functions 91
8 The Cobb Douglas Production Function 93
8.1 The Function and its Properties 94
8.2 Factor Intensity 98
8.3 Derived Demand for Productive Factors 102
8.4 Output Cost Duality and Allen Uzawa Partial
Elasticities of Substitution 104
8.5 The Price Equation 106
8.6 Empirical Remarks 106
8.7 Summary 107
9 The Constant Elasticity of Substitution Production
Function 110
9.1 The Function and its Properties 111
9.2 Productivity, Factor Shares of Output, and Factor
Intensity 113
9.3 Demand for Inputs 115
9.4 Dual Approach to Production 117
9.5 Empirical Remarks 118
9.6 Summary 120
Appendix 121
10 The Generalized Constant Elasticity of Substitution
Production Function 125
10.1 The Partial Elasticity of Substitution 126
10.2 The Unit Cost Function and the Allen Uzawa
Partial Elasticity of Substitution 127
10.3 The n Factor Constant Elasticity of Substitution
Production Function, Elasticities of Substitution,
and Factor Shares 128
10.4 Empirical Remarks 129
10.5 Summary 130
11 The Two Level Constant Elasticity of Substitution
Production Function 132
viii Contents
11.1 The Function and its Properties 133
11.2 Intra class and Inter class Elasticities of
Substitution 134
11.3 Factor Share Functions 136
11.4 Empirical Remarks 137
11.5 Summary 137
12 The Transcendental Logarithmic Production Function 139
12.1 The Function and its Properties 141
12.2 Duality, Translog Cost Function, Factor Share
Functions, and Elasticities 144
12.3 Empirical Remarks 147
12.4 Summary 151
Appendix 151
13 The Constant Elasticity of Substitution Translog
Production Function 155
13.1 Limitations of the Translog Production Function 155
13.2 The Constant Elasticity of Substitution Translog
Cost Function 157
13.3 Factor Share Functions and Elasticities 157
13.4 Empirical Remarks 158
13.5 Summary 160
Appendix 160
14 The Leontief Production Function 164
14.1 Input Output Table 165
14.2 The Output Frontier and the Factor Price Frontier 168
14.3 The Leontief Production Function 171
14.4 The Leontief Cost Function 173
14.5 Empirical Remarks 174
14.6 Summary 174
15 The Generalized Leontief Production Function 176
15.1 Differences between the Leontief Production
Function and the Diewert Production Function 177
15.2 Factor Share Functions and Elasticities 179
15.3 The Constant Elasticity of Substitution Generalized
Leontief Production Function 179
15.4 Empirical Remarks 180
15.5 Summary 182
Contents ix
Appendices 185
Appendix A Monotonicity 185
Appendix B Concavity and Convexity 185
Appendix C Homogeneity and Homotheticity 187
Appendix D Additivity and Separability 188
Appendix E Four Classical Properties of Consumer
Demand 189
Appendix F The Slutsky Equation: Derivation and
Implications 192
Appendix G Duality between Direct Utility Function
and Indirect Utility Function 197
Appendix H Roy s Identity 199
Appendix I The Shephard Samuelson Theorem 200
Appendix J Shephard s Duality 201
Appendix K Shephard s Lemma 202
Appendix L Allen Uzawa Partial Elasticity of
Substitution 203
Epilogue 206
References 207
Index 219
List of Figures
1.1 Concave utility function and indifference curve
1.2 Income elasticity
1.3 Engel curves
8.1 Constant returns to scale
8.2 Capital labor ratios and wage rental ratios
8.3 Factor intensity (1)
8.4 Factor intensity (2)
8.5 Factor price ratios and factor intensities
8.6 Relationship between commodity price ratio and factor price
ratio
9.1 Factor intensity
14.1 Output frontier
14.2 Factor price frontier
14.3 Leontief isoquant
15.1 Generalized Leontief isoquant
|
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| id | DE-604.BV008865236 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:26:18Z |
| institution | BVB |
| isbn | 1557864179 |
| language | English |
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| physical | XIV, 226 S. |
| publishDate | 1994 |
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| spelling | Chung, Jae W. Verfasser aut Utility and production functions theory and applications Jae Wan Chung 1. publ. Oxford u.a. Blackwell 1994 XIV, 226 S. txt rdacontent n rdamedia nc rdacarrier Fonctions de production (Théorie économique) Funciones de producción (Teoría económica) Productiefuncties gtt Utilitarisme gtt Utilité (Économie politique) - Modèles mathématiques Mathematisches Modell Production functions (Economic theory) Utility theory Mathematical models Produktionsfunktion (DE-588)4047354-5 gnd rswk-swf Nutzentheorie (DE-588)4131868-7 gnd rswk-swf Produktionsfunktion (DE-588)4047354-5 s Nutzentheorie (DE-588)4131868-7 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005863790&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chung, Jae W. Utility and production functions theory and applications Fonctions de production (Théorie économique) Funciones de producción (Teoría económica) Productiefuncties gtt Utilitarisme gtt Utilité (Économie politique) - Modèles mathématiques Mathematisches Modell Production functions (Economic theory) Utility theory Mathematical models Produktionsfunktion (DE-588)4047354-5 gnd Nutzentheorie (DE-588)4131868-7 gnd |
| subject_GND | (DE-588)4047354-5 (DE-588)4131868-7 |
| title | Utility and production functions theory and applications |
| title_auth | Utility and production functions theory and applications |
| title_exact_search | Utility and production functions theory and applications |
| title_full | Utility and production functions theory and applications Jae Wan Chung |
| title_fullStr | Utility and production functions theory and applications Jae Wan Chung |
| title_full_unstemmed | Utility and production functions theory and applications Jae Wan Chung |
| title_short | Utility and production functions |
| title_sort | utility and production functions theory and applications |
| title_sub | theory and applications |
| topic | Fonctions de production (Théorie économique) Funciones de producción (Teoría económica) Productiefuncties gtt Utilitarisme gtt Utilité (Économie politique) - Modèles mathématiques Mathematisches Modell Production functions (Economic theory) Utility theory Mathematical models Produktionsfunktion (DE-588)4047354-5 gnd Nutzentheorie (DE-588)4131868-7 gnd |
| topic_facet | Fonctions de production (Théorie économique) Funciones de producción (Teoría económica) Productiefuncties Utilitarisme Utilité (Économie politique) - Modèles mathématiques Mathematisches Modell Production functions (Economic theory) Utility theory Mathematical models Produktionsfunktion Nutzentheorie |
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