It is impossible to ethically rank the income distributions the two principles would mandate without giving priority to one
Equality is not the only social virtue to which we may aspire. Efficiency is another such virtue, a notion that is typically interpreted by economists in terms of the Pareto principle—namely, that if a state of affairs is better for someone without being worse for anyone, then it is a better state. If states of affairs are interpreted as income distributions, and if we assume that everybody prefers more income to less, then a “Paretian" will judge that x is a better distribution than y whenever at least one person has more income and no person has less income in x than in y.
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