Maximal Number of Vertices of Polytopes Defined by F-Probabilities

نویسنده

  • Anton Wallner
چکیده

Every F-probability (= coherent probability) F on a finite sample space Ωk with k elements defines a set of classical probabilities in accordance with the interval limits. This set, called “structure” of F , is a convex polytope having dimension ≤ k−1. We prove that the maximal number of vertices of structures is exactly k!.

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تاریخ انتشار 2005