Possibility measures can be given a behavioural interpretation as systems of upper betting rates. As such, they should arguably satisfy certain rationality requirements. Using a version of Walley's notion of epistemic independence suitable for possibility measures, we investigate what these requirements tell us about the formation of independent product possibility measures from given marginals.
Keywords. Possibility theory, upper probability, coherence, conditioning, epistemic independence, independent product.
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Gert de Cooman
Technologiepark - Zwijnaarde 9
Department of Statistics and Operations Research
C/Calvo Sotelo, s/n
33007 Oviedo, Spain
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