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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.
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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

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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