A characterization of vNM-stable sets for linear production games

We discuss linear production games or market games with a continuum of play ers which are represented as minima of finitely many nonatomic measures. Within this context we consider vNM-Stable Sets according to von Neumann an d Morgenstern. We classify or characterize all solutions of this type which are convex polyhedra, i.e., which are the convex hull of finitely many imp utations. Specifically, in each convex polyhedral vNM-Stable Set (and not o nly in the symmetric ones), the different types of traders must organize th emselves into cartels. The vNM-Stable Set is then the convex hull of the ut ility distributions of the cartels. Using the results from the continuum, we obtain a similar characterization also for finite glove market games.