Paretian egalitarianism holds that equality should be promoted, but only when this not conflict with certain (Pareto) efficiency considerations. Like leximin, it has the feature of never favoring leveling down. It also offers the promise of avoiding’s monomaniacal focus on the worst off affected person. We here show that, given certain accepted assumptions, certain forms of Paretian egalitarianism are incoherent and those are coherent share leximin’s monomaniacal focus on the worst off affected person. It thus that Paretian egalitarianism is not a significant alternative to leximin. We end by one of the assumed conditions: contraction consistency (Alpha). If this condition is, Paretian Egalitarianism remains a significant alternative to leximin.
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Tungodden et al. (2005) studied this question.
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