Title: "Maximal Social Welfare Relations on Infinite Populations Satisfying Permutation Invariance"
Abstract:
We study social welfare relations (SWRs) on an infinite population.
Our main result is a characterization of the common core shared by
prominent utilitarian SWRs over distributions which realize finitely
many welfare levels on this population. We characterize them as the largest
SWR (with respect to set-inclusion when the weak relation is viewed as a
set of pairs) which satisfies Strong Pareto, Permutation Invariance
(elsewhere called ``Relative Anonymity'' and ``Isomorphism
Invariance''), and a further ``Pointwise Independence'' axiom.
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