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.

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.