In this paper, we introduce the notion of a linked domain and prove that a non-manipulable social choice function defined on such a domain must be dictatorial. This result not only generalizes the Gibbard-Satterthwaite Theorem but also demonstrates that the equivalence between dictatorship and...

In this paper we consider the standard voting model with a finite set of alternatives A and n voters and address the following question : what are the characteristics of domains D that induce the property that every strategy-proof social choice function f : Dn - A satisfying unanimity, has the...

A domain of preference orderings is a random dictatorship domain if every strategy- proof random social choice function satisfying unanimity dened on the domain, is a random dictatorship. Gibbard (1977) showed that the universal domain is a random dictatorship domain. We investigate the...

We provide an alternative interpretation of the Shapley value in TU games as the unique maximizer of expected Nash welfare. Copyright Springer-Verlag Berlin Heidelberg 2014