Abstract
We study the construction of Paretian egalitarian social ordering functions in a distribution model with multiple goods and heterogeneous preferences. Given the impossibility to combine equality of resources with efficiency (Fleurbaey and Trannoy, Soc Choice Welf 21:243–263, 2003), we define weaker axioms of equality and efficiency relying on the mean bundle in the allocation. We identify a leximin social ordering function that satisfy these weaker axioms by relying on welfare measures representing the fraction of the mean bundle that would leave an agent indifferent with her bundle.
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