This paper proves stronger versions of the Gibbard random dictatorship theorem using induction on the number of voters …-proofness and Unanimity, is a random dictatorship provided that there are at least three alternatives. The weaker notion of strategy … weaker notion of strategy-proofness are sufficient for the random dictatorship result. …

random dictatorship mechanism in the standard public contribution game to investigate the issue of bias when a public good …

A domain of preference orderings is a random dictatorship domain if every strategy-proof random social choice function … satisfying unanimity defined on the domain is a random dictatorship. Gibbard (1977) showed that the universal domain is a random … dictatorship domain. We ask whether an arbitrary dictatorial domain is a random dictatorship domain and show that the answer is …

weak random dictatorship. A weak random dictatorship assigns each individual a chance to be a weak dictator. An individual … strategy proofness and unanimity are sufficient but not necessary conditions for a weak random dictatorship. Copyright Springer …