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Uniform random dictatorship: A characterization without strategy-proofness
,
R. SANVER
2023, Economics Letters, 227, pp.111127
Abstract
Although they exclude any possibility of a compromise ex-post, uniform random dictatorship methods provide a solution to conflicts of interest that guarantees an ex-ante fairness. Axiomatic characterizations of random dictatorships in the classical literature of social choice theory use strategy-proofness. In a probabilistic framework that embeds tops-onlyness and anonymity, for three or more alternatives, we provide a characterization that uses an independence condition instead: uniform random dictatorship is the only social choice rule that is efficient and independent. This characterization also establishes that under efficiency and anonymity, independence and strategy-proofness are equivalent. In the particular case of two alternatives, independence becomes vacuous and we propose a characterization without independence.

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