A cephoid is a Minkowski sum of finitely many prisms in R^n. We discuss the concept of duality for cephoids. Also, we show that the reference number uniquely defines a face. Based on these results, we exhibit two graphs on the outer surface of a cephoid. The first one corresponds to a maximal...

We discuss the structure of those polytopes in /R/n+ that are Minkowski sums of prisms. A prism is the convex hull of the origin and "n" positive multiples of the unit vectors. We characterize the defining outer surface of such polytopes by describing the shape of all maximal faces. As this...

Within this paper we study the Minkowski sum of prisms ("Cephoids") in a finite dimensional vector space. We provide a representation of a finite sum of prisms in terms of inequalities. -- Convex analysis ; Minkowski sum ; polytopes

A cephoid is an algebraic ("Minkowski") sum of finitely many prisms in R^n. A cephoidal game is an NTU game the feasible sets of which are cephoids. We provide a version of the Shapley NTU value for such games based on the bargaining solution of Maschler-Perles. -- Cephoids ; Bargaining theory ;...

Within this paper we conclude the treatise of vNM-Stable Sets for (cooperative) linear production games with a continuum of players. The paper resumes a series of presentations of this topic, for Part I, II, III, IV, see IMW 483, IMW 498, IMW 500, IMW 534. The framework has been outlined...

We consider (cooperative) linear production games with a continuum of players. The coalitional function is generated by r + 1 "production factors" that is, non atomic measures defined on an interval. r of these are orthogonal probabilities which, economically, can be considered as "cornered"...

This paper constitutes the second part in a series dealing with vNM-Stable sets for (cooperative) linear production games with a continuum of players, see [2]. The coalitional function is generated by r + 1 "production factors" (non atomic measures). R factors are given by orthogonal...

Within this paper we establish the existence of a vNM-Stable Set for (cooperative) linear production games with a continuum of players. The coalitional function is generated by r+1 "production factors" (non atomic measures). r factors are given by orthogonal probabilities ("cornered" production...