Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: Jan, 1983, Volume 51, Issue 1

Efficient Methods of Measuring Welfare Change and Compensated Income in Terms of Ordinary Demand Functions<79:EMOMWC>2.0.CO;2-W
p. 79-98

Yrjo O. Vartia

A utility maximizing consumer with a completely known system of ordinary demand functions q = h(p,C) is considered. Let (p^o, q^o) and (p^1,q^1) to two arbitrary equilibrium situations; the problem is to evaluate in which of the situations the utility is higher without knowing the utility function. Revealed preference theory tells that the ordinary demand functions (which are in principle observable) contain enough information to solve the problem. Remaining difficulties are therefore mainly computational. We present how the how the compensated income C^1 = C(p^1,q^o) and the compensated demand q^1 = h(p^1,C^1) are calculated with arbitrary accuracy using only the ordinary demand system. Our two efficient algorithms also have interesting interpretations in terms of index numbers and consumer surplus measures.

Log In To View Full Content

Journal News