The book is not an unrestricted survey engaging a vast and repetative literature, but a systematic treatise within clear boundaries, largely a document of Afriat's own work. The original motive of the work is to elaborate a concept of what really is a price index, which, despite some kind of price-level notion having a presence throughout economics, in theory and practice, had been missing. The unique and ingenious S.N. Afriat is back and writing on the subject of the Price Index. This book is totally unique and shall be of great interest to economists and statisticians everywhere.
The book is not an unrestricted survey engaging a vast and repetative literature, but a systematic treatise within clear boundaries, largely a document of Afriat's own work. The original motive of the work is to elaborate a concept of what really is a price index, which, despite some kind of price-level notion having a presence throughout economics, in theory and practice, had been missing.The unique and ingenious S.N. Afriat is back and writing on the subject of the Price Index. This book is totally unique and shall be of great interest to economists and statisticians everywhere.
S. N. Afriat currently associated with the University of Siena, Italy, has a long and distinguished record of publishing at the interface of mathematics and economics. His most recent book The Market: Equilibrium, Stability, Mythology is also published by Routledge (2003).
Inhaltsangabe
Part I: Paasche, Laspeyres and FisherIntroduction - Theory and Practice1. Comparisons2. Fleetwood's student3. What is a price index? I - Three Problems 1. The 'Index Number Problem'2. Formulae and tests3. Utility-cost4. Cost efficiency and effectiveness5. The price index6. Problems II - The General Probem of Limits 1. Consistency of demands2. Revealed choice and preference3. Preference-nonpreference contradiction4. Cost-efficiency and nonsatiation5. Critical costs6. Revealed bounds and classical limits III - The Homogeneous Problem - Laspeyres and Paasche 1. Conical utility and expansion loci2. Homogeneous consistency3. Revealed homogeneous preference4. Range of the price index5. Revealed bounds6. Classical limits IV - Fisher and quadratics 1. Byushgens on Fisher2. Question about Byushgens3. Gradients and quadratics4. Conditions for compatibility5. Theorem on quadratic consistencyPart II - The Cost of Living I - Price and quantity levels 1. Price-quantity duality2. Dual function examples3. Price and quantity levels4. Limits of Indeterminacy II - The True Index 1. The cost of living2. The price index3. Formulae, and Fisher's Tests4. The Paasche-Laspeyres interval5. Existence test6. Theory and practice7. Many periods8. Price levels9. Fisher's formula III - Fisher and Byushgens 1. Byushgens' theorem2. The existence question3. Purchasing power correspondence4. Many-period generalization IV - The Four Point Formula 1. Median multipliers and levels2. Centre locus3. Linear purchasing power4. Critical locations5. Elliptical case V - Wald's New Formula 1. Linear expansions2. Revealed purchasing power3. The critical points4. Marginal price indices, and limits
Part I: Paasche, Laspeyres and FisherIntroduction - Theory and Practice1. Comparisons2. Fleetwood's student3. What is a price index? I - Three Problems 1. The 'Index Number Problem'2. Formulae and tests3. Utility-cost4. Cost efficiency and effectiveness5. The price index6. Problems II - The General Probem of Limits 1. Consistency of demands2. Revealed choice and preference3. Preference-nonpreference contradiction4. Cost-efficiency and nonsatiation5. Critical costs6. Revealed bounds and classical limits III - The Homogeneous Problem - Laspeyres and Paasche 1. Conical utility and expansion loci2. Homogeneous consistency3. Revealed homogeneous preference4. Range of the price index5. Revealed bounds6. Classical limits IV - Fisher and quadratics 1. Byushgens on Fisher2. Question about Byushgens3. Gradients and quadratics4. Conditions for compatibility5. Theorem on quadratic consistencyPart II - The Cost of Living I - Price and quantity levels 1. Price-quantity duality2. Dual function examples3. Price and quantity levels4. Limits of Indeterminacy II - The True Index 1. The cost of living2. The price index3. Formulae, and Fisher's Tests4. The Paasche-Laspeyres interval5. Existence test6. Theory and practice7. Many periods8. Price levels9. Fisher's formula III - Fisher and Byushgens 1. Byushgens' theorem2. The existence question3. Purchasing power correspondence4. Many-period generalization IV - The Four Point Formula 1. Median multipliers and levels2. Centre locus3. Linear purchasing power4. Critical locations5. Elliptical case V - Wald's New Formula 1. Linear expansions2. Revealed purchasing power3. The critical points4. Marginal price indices, and limits
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