A Behavioral Interpretation of Belief Functions
Shafer’s belief functions were introduced in the seventies of the previous century as a mathematical tool in order to model epistemic probability. One of the reasons that they were not picked up by mainstream probability was the lack of a behavioral interpretation. In this paper, we provide such a behavioral interpretation and re-derive Shafer’s belief functions via a betting interpretation reminiscent of the classical Dutch Book Theorem for probability distributions. We relate our betting interpretation of belief functions to the existing literature.
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Dokumenttyp: | Artikel |
Erscheinungsdatum: | 2018 |
Reihe/Periodikum: | Kerkvliet , T & Meester , R 2018 , ' A Behavioral Interpretation of Belief Functions ' , Journal of Theoretical Probability , vol. 31 , no. 4 , pp. 2112-2128 . https://doi.org/10.1007/s10959-017-0776-y |
Schlagwörter: | Axioms of probability / Behavioral interpretation / Belief functions / Dutch Book / Epistemic probability / Gamble / Guaranteed revenue / Lower prevision |
Sprache: | Englisch |
Permalink: | https://search.fid-benelux.de/Record/base-28637661 |
Datenquelle: | BASE; Originalkatalog |
Powered By: | BASE |
Link(s) : | https://research.vu.nl/en/publications/e465b57f-9fc6-4760-ad0a-5345cb1283ee |