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...

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

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.

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 strategic behavior of agents on a financial market in the presence of a central bank which is borrowing and lending money.

The Maschler-Perles solution is the unique bargaining solution which is superadditive and satisfies the usual covariance properties. We provide two proofs for superadditivity that do not rely on the standard traveling time.

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.

We characterize convex vNM-Stable Sets according to von Neumann and Morgenstern for orthogonal linear production games with a continuum of players.The results of Rosenmüller & Shitovitz [International journal of game theory 29 (2000), pp. 39-61] are thereby substantially improved....