The Index Number Problem Construction Theorems

by Afriat, Sydney

• ISBN13: 9780199670581
• ISBN10: 0199670587
• Format: Hardcover
• Copyright: 2014-04-15
• Publisher: Oxford University Press

Author Biography

Sydney Afriat, Visiting Professor, University of Siena

Sydney Afriat was awarded a State Bursary at school for two years at Pembroke College, Cambridge. He graduated in mathematics and part physics and spent an interval during WWII at the National Physical Laboratory, Teddington, High Speed Section, Aerodynamics Division, directed by J. H. C. He was released at end of the war and whilst studying for his DPhil at Queen's College, Oxford, he became research assistant to the economist J. R. Bellerby, and then joined the Department of Applied Economics at Cambridge. He has held positions at many universities including Jerusalem, Princeton, Rice, Yale, Purdue, UNC, Waterloo, Ottawa, and Berkeley. He has been Visiting Fellow at All Souls, Oxford, Izaak Walton Killam Memorial Fellow, an Academic Visitor at the London School of Economics, Visiting Fellow at Macquarie University NSW, Visiting Professor at the Institute of Social and Economic Research, Osaka and at the University of Siena, and Jean Monnet Fellow at the European University Institute.

Table of Contents

Preface
Acknowledgements
Introduction
I The Index Number Problem
I. The New Formula
II. The Power Algorithm
III. Combinatorics
IV. Consistency
V. Illustration
Bibliography
II Construction Theorems
1. The system of inequalities ars > xs - xr
2. Principles of Choice and Preference
3. Utility construction-revisited
4. The construction of separable utility functions from expenditure data
5. The Connection between Demand and Utility
6. Revealed Preference Revealed
Appendix: Terminology
Appendix 1. Constant returns, conical, homogeneous
Appendix 2. Notation
Appendix 3. Cost Efficient, Cost Effective
Appendix 4. Part, Chapter, Section
Note: RES 2011 Conference Preliminary to 'Afriat's Theorem and the Index Number Problem'