Abstract
Five axioms which play a role in the theory of the price index are introduced in the form of inequalities and functional equations. It is shown that there exists a subset of four of these axioms which are independent and which imply the fifth one.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. N. Afriat, The theory of international comparisons of real income and prices, in: D. J. Daly, ed., International comparisons of prices and outputs, National Bureau of Economic Research, New York, 1972, 13–69.
C. Blackorby and R. R. Russell, Indices and subindices of the cost of living and the standard of living, International Economic Review, forthcoming.
W. E. Diewert, Exact and superlative index numbers, J. of Econometrics 4 (1976), 115–145.
W. Eichhorn, Fisher’s tests revisited, Econometrica 44, (1976), 247–256.
W. Eichhorn, Functional equations in economics, Reading, forthcoming.
F. M. Fisher and K. Shell, The economic theory of price indices, two essays on the effect of taste, quality and technological change, New York - London, 1972.
M. Kréin and D. Milman, On extreme points of regular convex sets, Studia Mathematica, 9 (1940), 133–138.
J. Muellbauer, The cost of living and taste and quality change, J. of Economic Theory 10, (1975), 269–283.
R. A. Pollak, Subindices in the cost of living index, International Economic Review 16, (1975), 135–150.
P. A. Samuelson and S. Swamy, Invariant economic index numbers and canonical duality: survey and synthesis, American Economic Review 64, (1974), 566–593.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1978 Springer Basel AG
About this chapter
Cite this chapter
Eichhorn, W. (1978). Inequalities and Functional Equations in the Theory of the Price Index. In: Beckenbach, E.F. (eds) General Inequalities 1 / Allgemeine Ungleichungen 1. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 41. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5563-1_3
Download citation
DOI: https://doi.org/10.1007/978-3-0348-5563-1_3
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5565-5
Online ISBN: 978-3-0348-5563-1
eBook Packages: Springer Book Archive