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.
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Authors addresses:
Institut fuer Statistik
Ludwig-Maximilians-Universitaet Muenchen
Ludwigstr. 33
80539 Muenchen
E-mail addresses:
| Anton Wallner | toni@stat.uni-muenchen.de |