It is shown that the median voter theorem for committee-decisions holds over a full unimodal preference domain whenever (i) the underlying median interval space satisfi?es interval antiexchange and (ii) unimodality is defi?ned with respect to the incidence-geometry of the relevant outcome space...

It is argued that if a finite partially ordered population is given, and incomparability is taken as the relevant type of dissimilarity, then diversity comparisons between subpopulations may be conveniently based on widths namely on the maximum number of pairwise incomparable units they include....

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...

A parameterized characterization of height-based total extensions of principal filtral opportunity rankings is provided and shown to include, as a special case, a version of the well-known Pattanaik-Xu characterization of the cardinality-based ranking. ***** <p>Se presenta una caracterización...</p>

A voting protocol is said to be strongly β-participatory if for any voter i and any strategy profile either the outcome is i′s preferred one or i has a sincere strategy which would ensure her a better outcome, and VNM-strategy-proof if at any preference profile the set of sincere strategies...

This paper studies Collective Identification Procedures in a finite lattice when the standard Independence axiom is dropped and replaced with an Independent Qualified Certification requirement

Generalized individual desirability relations are defined relying on a) effectivity functions (EFs) b) Galois lattices of EFs and c) opportunity rankings as defined on EFs. It is argued that such desirability relations enable an enlargement of the scope of gametheoretic approaches to the...