Two distinct specifications of single peakedness as currently met in the relevant literature are singled out and discussed. Then, it is shown that, under both of those specifications, a voting rule as defined on a bounded distributive lattice is strategy-proof on the set of all profiles of...

It is shown that a social choice rule f : X^N ? X as defined on a bounded distributive lattice (X, ) is strategy-proof on the set of all profiles of unimodal total preorders on X if and only if it can be represented as an iterated median of projections and constants. The equivalence of individual...

We consider an extension of the class of multi-utility hyper-relations, the class of semi-decent hyper-relations. A semi-decent hyper-relation satis…es monotonicity, stability with respect to contraction, and the union property. We analyze the class of semi-decent hyper-relations both...

We compare inequality of alternative populations of individuals who differ in many characteristics besides income. To do so, we introduce a new criterion for ranking multivariate distributions with different means of marginals (hereafter marginal means) and show that some conditions, relevant in...