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• W3103341522 abstract "This paper studies implications of the consistency conditions among prior, posteriors, and information sets on introspective properties of qualitative belief induced from information sets. The main result reformulates the consistency conditions as: (i) the information sets, without any assumption, almost surely form a partition; and (ii) the posterior at a state is equal to the Bayes conditional probability given the corresponding information set. Implications are as follows. First, each posterior is uniquely determined. Second, qualitative belief reduces to fully introspective knowledge in a ``standard'' environment. Thus, a care must be taken when one studies non-veridical belief or non-introspective knowledge. Third, an information partition compatible with the consistency conditions is uniquely determined by the posteriors. Fourth, qualitative and probability-one beliefs satisfy truth axiom almost surely. The paper also sheds light on how the additivity of the posteriors yields negative introspective properties of beliefs." @default.
• W3103341522 created "2020-11-23" @default.
• W3103341522 creator A5059851425 @default.
• W3103341522 date "2019-07-19" @default.
• W3103341522 modified "2023-09-26" @default.
• W3103341522 title "On the Consistency among Prior, Posteriors, and Information Sets (Extended Abstract)" @default.
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• W3103341522 doi "https://doi.org/10.4204/eptcs.297.13" @default.
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