On the Measurement of Intermediate Inequality: A Dominance Criterion for a Ray-Invariant Notion
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2014-09-30
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Research on Economic Inequality
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Emerald Publishing
Melbourne Authors
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Melbourne Institute of Applied Economic and Social Research
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AZPITARTE, F. & Alonso-Villar, O. (2014). On the Measurement of Intermediate Inequality: A Dominance Criterion for a Ray-Invariant Notion. Bishop, JA (Ed.). Rodriguez, JG (Ed.). Economic Well-Being and Inequality: Papers from the Fifth ECINEQ Meeting, ECONOMIC WELL-BEING AND INEQUALITY: PAPERS FROM THE FIFTH ECINEQ MEETING, (1), 22, pp.401-420. Emerald Publishing.
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Abstract
This paper introduces a unit-consistent Lorenz dominance criterion that allows ranking income distributions according to centrist measures a` la Seidl and Pfingsten (1997). In doing so, it defines α-Lorenz curves that generalize the absolute Lorenz curve. These curves allow implementing unanimous rankings for a broad set of centrist inequality notions, whereas they become closer and closer to the absolute curve when α approaches equity. In addition, this paper provides an empirical illustration of these tools using Australian income data. The results suggest that despite the reduction of relative inequality for Australian-born people between 1999 and 2003, their inequality increased for most centrist value judgments.