We study multidimensional inequality in partitions of finite multisets with thresholds. In such a setting, a Lorenz-like preorder, a family of functions preserving such a preorder, and a counterpart of the Pigou-Dalton transfers are defined, and a version of the celebrated...

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.

Collective Identification Procedures (CIPs) model admission rules regulating membership in associations, communities and clubs: the Libertarian identification rule Fl is the CIP which essentially relies on self-certification. This paper studies Fl in an arbitrary finite atomistic lattice,...

It is argued that when morphisms are ignored virtually all coalitional, strategic and extensive game formats as currently employed in the extant game-theoretic literature may be presented in a fairly natural way as (concrete categories over) discrete subcategories of Chu(Set,2). Moreover, under...

The choice functions that are consistent with selections of VNM-stable sets of an underlying revealed dominance digraph are characterized both under VNM-perfection of the latter and in the general case.

We introduce the dominance dimension principle and the parameterized family of criteria for the assessment of publication/citation profiles it generates. We show that by a suitable choice of parameters dominance dimension may specialize to the most widely known and used of those impact scores...

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

It is argued that virtually all coalitional, strategic and extensive game formats as currently employed in the extant game-theoretic literature may be presented in a natural way as discrete nonfull or even-under a suitable choice of morphisms- as full subcategories of Chu (Poset 2).

This paper contributes to the task of classifying game forms from a structural point of view by studying properties of their concept-or Galoislattices. A characterization of those coalitional game forms that have topological closure systems is provided.It is also shown that CGFs with topological...