Coherent lower previsions and exact cooperative games are mathematically essentially the same. We investigate in this paper the smallest class containing these functionals resp. games. This class will be denoted to consist of exact functionals which coincide with coherent lower previsions up to normalization. We investigate the exact functionals from a functional analytic point of view, i.e. we characterize this class by a norm, present a Hahn-Banach type theorem, a powerful construction method and adopt the concept of the core resp. sigma-core from cooperative game theory.
Keywords. exact functionals, coherent lower previsions, exact cooperative games, core.
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| Sebastian Maaß | Sebastian.Maass@email.de |