Hostname: page-component-7479d7b7d-767nl Total loading time: 0 Render date: 2024-07-13T16:24:54.296Z Has data issue: false hasContentIssue false
  • English
  • Français

The system of inequalities ars > Xr—Xs*

Published online by Cambridge University Press:  24 October 2008

S. N. Afriat
S. N. Afriat
Affiliation:
Princeton University, Princeton, New Jersey, and Rice University, Houston, Texas.
Get access Rights & Permissions [Opens in a new window]

Extract

In the investigation of preference orders which are explanations of expenditure data which associates a quantity vector xr with a price vector pr (r = 1, …, k), in respect to some n goods, there is considered the class of functions φ, with gradient g, which are increasing and convex in some convex region containing the points xr, such that gr = g(xr) has the direction of pr. † Let ur = pr/er, where so that

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 59 , Issue 1 , January 1963 , pp. 125 - 133
Copyright
Copyright © Cambridge Philosophical Society 1963

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

† Afriat, S. N.. Preference, analysis: a general method with application to the cost of living index. (Research Memorandum, no. 29, Econometric Research Program, Princeton University, 08 1961.)Google Scholar

‡ Houthakker, H. S.. Revealed preference and the utility function, Economica, 17 (1950).159–174.CrossRefGoogle Scholar