Every F-probability (= coherent probability) FF on a finite sample space Omega_k with k elements defines a set of classical probabilities in accordance with the interval limits. This set, called ``structure'' of FF, is a convex polytope having dimension <= k-1. We prove that the maximal number of vertices of structures is exactly k!.
Keywords. Geometry of interval probability, number of vertices of structures/cores/credal sets, combinatorial theory of polyhedra, 0/1-matrices.
The paper is availabe in the following formats:
Institut fuer Statistik