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)] are thereby substantially improved. Simultaneously, this...

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 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.

We discuss large but finite linear market games which are represented as minima of finitely many measures. These games describe markets in which the agents decompose into finitely many disjoint groups each of which holds a corner of the market. Most solution concepts like the core, the Shapley...

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

The present note examines the effect of minimum wage noncompliance on the sub-minimum wage rate in a competitive labor market. The note shows that noncompliance shifts leftward the demand curve of labor and shifts rightward the supply curve of labor, unambiguously leading to a fall in the...