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...

In this paper a government form is modeled as an effectivity function scheme (EFS) i.e. a parameterized family of effectivity functions having admissible (strong) weight-profiles as the relevant parameters. Working in a 2-jurisdiction outcome space we show that the existence of umpires is...

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,...

We address the problem of ranking distributions of opportunity sets in terms of poverty. In order to accomplish this task, we identify a suitable notion of `multidimensional poverty line', extend the most widely used income poverty criteria to opportunity profiles, and provide characterizations...

The domain of polyconvex sets, i.e. finite unions of convex, compact, Euclidean sets, is large enough to encompass most of the opportunity sets typically encountered in economic environments, including non-linear or even non-convex budget sets, and opportunity sets arising from production sets....

The concept lattice of a coalitional game form is introduced and advocated as a structural classificatory tool. The basic properties of such lattices are studied. Sufficient concept-latticial properties for convexity of the underlying coalitional game form are identified. Spectral issues...

It is shown that concept lattices can be attached in a natural way to any voting protocol. The concept lattices of some voting protocols that are solvable with respect to some prominnent solution concepts and outcome-efficient are studied: it is proved that they typically amount to chains