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.

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.

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.