List of Figures .............................................. xiii
Introduction: The Index Number Problem .......................... 1
I The Index Number Problem
I The New Formula .............................................. 5
1 The Price Index .............................................. 5
2 Data ......................................................... 7
3 Chain Consistency ............................................ 8
4 The New Formula .............................................. 9
II The Power Algorithm ........................................ 16
1 Power Test .................................................. 16
2 Utility-Cost ................................................ 17
3 Laspeyres and Paasche ....................................... 21
4 True Index .................................................. 22
III Combinatorics ............................................. 25
1 Minimal Chains .............................................. 25
2 System and Derived System ................................... 27
3 Triangle Inequality ......................................... 29
4 Extension and Exhaustion Properties ......................... 32
IV Consistency ................................................ 34
1 Consistency ................................................. 34
2 Utility Model ............................................... 38
3 Solution Structure .......................................... 44
4 Principal Solutions ......................................... 48
5 Inconsistency and Approximation ............................. 51
6 Old and New An Illustration ................................. 58
7 Final ....................................................... 62
V Illustration ................................................ 64
1 Review of Method ............................................ 64
2 Illustration: Three References .............................. 66
Bibliography ................................................... 69
Contents II Construction Theorems
1 The System of Inequalities ars > xs — xr .................... 79
2 Principles of Choice and Preference ......................... 91
3 Utility Construction—Revisited ............................. 115
4 The Construction of Separable Utility Functions from
Expenditure Data ........................................... 133
5 The Connection Between Demand and Utility .................. 148
6 Revealed Preference Revealed ............................... 178
Appendix: Terminology ......................................... 207
Appendix 1 Constant Returns, Conical, Homogeneous ............. 207
Appendix 2 Notation ........................................... 208
Appendix 3 Cost Efficient, Cost Effective ..................... 210
Appendix 4 Part, Chapter, Section ............................. 214
Note: RES 2011 Conference Preliminary to 'Afriat's Theorem
and the Index Number Problem' .............................. 215
Index ......................................................... 217
|
