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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Authors addresses:
Gert de Cooman
Universiteit Gent
Onderzoeksgroep SYSTeMS
Technologiepark - Zwijnaarde 9
9052 Zwijnaarde
Belgium
Enrique Miranda
Department of Statistics and Operations Research
C/Calvo Sotelo, s/n
33007 Oviedo, Spain
E-mail addresses:
| Gert de Cooman | gert.decooman@rug.ac.be |
| Enrique Miranda | alu426@pinon.ccu.uniovi.es |