Standard and Nonstandard Representability of Positive Uncertainty Orderings. Preprint (accepted for the publication in Kybernetika)

Axioms are given for positive comparative probabilities and plausibilities dened either on Boolean algebras or on arbitrary sets of events. These axioms allow to characterize binary relations representable by either standard or nonstandard measures (i.e. taking values either on the reals or on a hyperreal eld). We also study relations between conditional events induced by preferences on conditional acts.