Convex vNM-Stable Sets for a Semi Orthogonal Game. Part IV: Large Economies: The Existence Theorem

Convex vNM-stable sets for linear production games

A characterization of vNM-stable sets for linear production games

We discuss linear production games or market games with a continuum of players which are represented as minima of nitely many nonatomic measures. Within this contex we consider vNM-Stable Sets according to von Neumann and Morgenstern. We classify or characterize all solutions of this type which are convex polyhedra, i.e., which are the convex hull of nitely many imputations. Speci cally, in eac...

A Representation Theorem for Bounded Convex Sets

Orthogonal Designs IV: Existence Questions

In [5] Raghavarao showed that if n = 2 (mod 4) and A is a {O, 1, -1} matrix satisfying AAt = (n 1) In. then n 1 = a2 b2 for a, b integers. In [4] van Lint and Seidel giving a proof modeled on a proof of the Witt cancellation theorem, proved more generally that if n is as above and A is a rational matrix satisfying AAt = kIn then k = q12 + q22 (q1, q2 E Q, the rational numbers). Consequently, if...

An embedding theorem for convex fuzzy sets

In this paper we embed the space of upper semicontinuous convex fuzzy sets on a Banach space into a space of continuous functions on a compact space. The following structures are preserved by the embedding: convex cone, metric, sup-semilattice. The indicator function of the unit ball is mapped to the constant function 1. Two applications are presented: strong laws of large numbers for fuzzy ran...