If there are at least three alternatives which the members of the society are free to order in any way, then every social welfare function satisfying Conditions 2 and 8 and yielding a social ordering satisfying Axioms I and II must be either imposed or dictatorial.

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Quote text and notes from Wikiquote: Kenneth Arrow (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.