The Impossibility of Extending Random Dictatorship to Weak Preferences

With F. Brandt and W. Suksompong
Economics Letters, 141:44–47, 2016

Random dictatorship has been characterized as the only social decision scheme that satisfies efficiency and strategyproofness when individual preferences are strict. We show that no extension of random dictatorship to weak preferences satisfies these properties, even when significantly weakening the required degree of strategyproofness.