Anity and Continuity of Credal Set Operator

Tom, Pod Vod · 2009

The credal set operator is studied as a set-valued mapping that assigns the set of dominating probabilities to a coherent lower prevision on some set of gambles. It is shown that this mapping is ane on certain classes of coherent lower previsions, which enables to nd a decomposition of credal sets. Continuity of the credal set operator is investigated on nite universes with the aim of approximating credal sets.

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