Decomposing Bivariate Dominance for Social Welfare Comparisons

Tina Gottschalk Marling, Troels Martin Range, Peter Sudhölter, Lars Peter Østerdal

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Abstract

The principal dominance concept for inequality-averse multidimensional social welfare comparisons, commonly known as lower orthant dominance, entails less or equal mass on all lower hyperrectangles of outcomes. Recently, it was shown that bivariate lower orthant dominance can be characterized in terms of two elementary mass transfer operations: diminishing mass transfer (reducing welfare) and correlation-increasing switches (increasing inequality). In this paper we provide a constructive algorithm, which decomposes the mass transfers into such welfare reductions and inequality increases.
Original languageEnglish
JournalMathematical Social Sciences
Volume95
Pages (from-to)1-8
Number of pages8
ISSN0165-4896
DOIs
Publication statusPublished - Sep 2018

Bibliographical note

Epub ahead of print. Published online: 5. July 2018

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