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.

By viewing negotiation problems as problems of fair division, one can apply intuitive procedures to a variety of complex conflicts. This, however, requires the negotiated issues to be interpreted as items to be divided among the parties involved. In this paper, we go in the opposite direction...