We discuss the structure of those polytopes in Rⁿ+ 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 shape...

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.

We present a superadditive bargaining solution defined on a class of polytopes in Rⁿ. The solution generalizes the superadditive solution exhibited by MASCHLER and PERLES.

A cephoid is a Minkowski sum of finitely many prisms in Rⁿ. 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...