Every weighted tree corresponds naturally to a cooperative game that we call a tree game; it assigns to each subset of leaves the sum of the weights of the minimal subtree spanned by those leaves. In the context of phylogenetic trees, the leaves are species and this assignment captures the...

Experimental evidence stresses the importance of so–called social preferences for understanding economic behavior. Social preferences are defined over the entire allocation in a given economic environment, and not just over one’s own consumption as is traditionally presumed. We study the...

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.

It is well known that an upper semi-continuous compact- and convex-valued mapping fi from a nonempty compact and convex set X to the Euclidean space of which X is a subset has at least one stationary point, being a point in X at which the image fi(x) has a nonempty intersection with the normal...

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...

Within this paper we compute 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.