Resumen de The extreme points of the set of belief measures

Martin Brüning, Dieter Denneberg

• It is known that the s-additive Möbius transform of a belief function (we prefer to call it belief measure) can be derived from Choquet�s Theorem. One has to show that the extreme points of the compact convex set of belief measures are the {0, 1}-valued belief measures, which are called filter games as well. A proof is implicit in the famous 1953/54 paper of Choquet but it is hard to read it. We present a direct proof and � for the sake of completeness � derive the Möbius transform.