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Comparing degrees of inequality aversion

Kristof Bosmans

Public Economics Working Paper Series from Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics

Abstract: We propose a straightforward dominance procedure for comparing social welfare orderings (SWOs) with respect to the degree of inequality aversion they express. Three versions of the procedure are considered, each of which uses a different underlying criterion of inequality comparisons: (i) a concept based on the Lorenz quasi-ordering, which we argue to be the ideal version, (ii) a concept based on a minimalist criterion of inequality, and (iii) a concept based on the relative differentials quasi-ordering. It turns out that the traditional Arrow-Pratt approach is equivalent to the latter two concepts for important classes of SWOs, but that it is profoundly inconsistent with the Lorenz-based concept. With respect to the problem of combining extreme inequality aversion and monotonicity, concepts (ii) and (iii) identify as extremely inequality averse a class of SWOs that includes leximin as a special case, whereas the Lorenz-based concept (i) concludes that extreme inequality aversion and monotonicity are incompatible.

Keywords: Inequality aversion; Lorenz; Leximin; Maximin; Risk aversion (search for similar items in EconPapers)
JEL-codes: D63 D81 (search for similar items in EconPapers)
Pages: 24 pages
Date: 2006
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Forthcoming in Social Choice and Welfare.

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