Maximal Social Welfare Relations on Infinite Populations Satisfying Permutation Invariance
We study social welfare relations (SWRs) on an infinite population. Our main result is a new characterization of a utilitarian SWR as the \emph{largest} SWR (in terms of subset 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 `Quasi-Independence'' axiom.
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