Abstract
Any dynamic decision model should be based on conditional objects and must refer to (not necessarily structured) domains containing only the elements and the information of interest. We characterize binary relations, defined on an arbitrary set of conditional events, which are representable by a coherent generalized decomposable conditional measure and we study, in particular, the case of binary relations representable by a coherent conditional probability.
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Coletti, G., Vantaggi, B. Representability of Ordinal Relations on a Set of Conditional Events. Theor Decis 60, 137–174 (2006). https://doi.org/10.1007/s11238-005-4570-4
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DOI: https://doi.org/10.1007/s11238-005-4570-4