- Title Pages
- Preface
- Introduction
- I.1 About Choice
- I.2 Processes of Choice
- I.3 Democratic Choice
- I.4 Budget Allocation and Priority
- I.5 Ramsey's Savings Rule
- II.1 Utility Hypothesis
- II.2 Algebra of Revealed Preference
- II.3 Combinatorics of Demand
- II.4 Separable Utility
- II.5 Direct and Indirect Utility
- II.6 Efficiency and Inefficiency
- III.1 Price and Quantity Levels
- III.2 The True Index
- III.3 Fisher and Byushgens
- III.4 The Four‐Point Formula
- III.5 Wald's ‘New Formula’
- IV.1 Opportunity Models
- IV.2 Leontief's Input‐Output
- IV.3 The Market
- IV.4 Sraffa's Prices
- IV.5 General Economic Equilibrium
- IV.6 Von Neumann's Economic Model
- V.1 Optimal Programming
- V.2 Convex Programming
- V.3 Linear Programming
- V.4 Minimum Paths
- V.5 Distribution Matrices
- VI.1 Calculus of Propositions
- VI.2 Algebra of Relations
- VI.3 Intersections and Fixed Points
- Bibliography
- Index

# Fisher and Byushgens

# Fisher and Byushgens

- Chapter:
- (p.211) III.3 Fisher and Byushgens
- Source:
- Logic of Choice and Economic Theory
- Author(s):
### S. N. Afriat

- Publisher:
- Oxford University Press

This is the third of five chapters about the cost of living problem and price indices, a typical area for what is understood as choice theory. Together with the next two chapters, it discusses theoretical matters arising from the finding of S. S. Byushgens (1925) that Irving Fisher's ‘Ideal Index’ is exact if demand is governed by a homogeneous quadratic utility. The four sections of the chapter are: Byushgens's theorem; the existence question; purchasing power correspondence; and many‐period generalization.

*Keywords:*
S. S. Byushgens, Byushgens's theorem, choice, choice theory, cost of living, demand, economic theory, Fisher's Ideal Index, Irving Fisher, price index, price theory, purchasing power, purchasing power correspondence

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- Title Pages
- Preface
- Introduction
- I.1 About Choice
- I.2 Processes of Choice
- I.3 Democratic Choice
- I.4 Budget Allocation and Priority
- I.5 Ramsey's Savings Rule
- II.1 Utility Hypothesis
- II.2 Algebra of Revealed Preference
- II.3 Combinatorics of Demand
- II.4 Separable Utility
- II.5 Direct and Indirect Utility
- II.6 Efficiency and Inefficiency
- III.1 Price and Quantity Levels
- III.2 The True Index
- III.3 Fisher and Byushgens
- III.4 The Four‐Point Formula
- III.5 Wald's ‘New Formula’
- IV.1 Opportunity Models
- IV.2 Leontief's Input‐Output
- IV.3 The Market
- IV.4 Sraffa's Prices
- IV.5 General Economic Equilibrium
- IV.6 Von Neumann's Economic Model
- V.1 Optimal Programming
- V.2 Convex Programming
- V.3 Linear Programming
- V.4 Minimum Paths
- V.5 Distribution Matrices
- VI.1 Calculus of Propositions
- VI.2 Algebra of Relations
- VI.3 Intersections and Fixed Points
- Bibliography
- Index