Probability

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Lexicographic probability, conditional probability, and nonstandard probability

The relationship between Popper spaces (conditional probability spaces that satisfy some regularity conditions), lexicographic probability systems (LPS’s) [Blume, Brandenburger, and Dekel 1991a; Blume, Brandenburger, and Dekel 1991b], and nonstandard probability spaces (NPS’s) is considered. If countable additivity is assumed, Popper spaces and a subclass of LPS’s are equivalent; without the as...

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Many writers who entertain the use of subjective probability or credal probability for, among other things, the evaluation of expected values of options in decision problems insist that such credal probability judgments should be determined by the agent’s “available evidence” or “available knowledge”. Notable 20 century examples are H. Jeffreys (1921, 1951), J.M. Keynes (1921), R. Carnap (1950,...

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ژورنال

عنوان ژورنال: Nature

سال: 1950

ISSN: 0028-0836,1476-4687

DOI: 10.1038/166413b0