Preprint A557/2007
Antipodal pairs, criticial pairs and Nash angular equilibria in convex cones
Alberto Seeger | Iusem, Alfredo N.
Keywords: Antipodal pair | convex cone | critical angle | maximal angle | Nash angular equilibria
In this paper we discuss three related geometirc concepts which arise in connection with the angular analysis of a finite dimensional convex cone. Antipodal pairs and critical pairs in convex cones have been studied in earlier papers of ours, but several additional results aree presented here for the first time. The concept of Nash angular equilibrium is new and we set up the basic ingredients of the theory.