Probabilistic Belief Contraction

Minds and Machines 22 (4):325-351 (2012)
Abstract
Probabilistic belief contraction has been a much neglected topic in the field of probabilistic reasoning. This is due to the difficulty in establishing a reasonable reversal of the effect of Bayesian conditionalization on a probabilistic distribution. We show that indifferent contraction, a solution proposed by Ramer to this problem through a judicious use of the principle of maximum entropy, is a probabilistic version of a full meet contraction. We then propose variations of indifferent contraction, using both the Shannon entropy measure as well as the Hartley entropy measure, with an aim to avoid excessive loss of beliefs that full meet contraction entails.
Keywords Probabilistic Belief Change  Principle of Maximum Entropy  Partial Meet Contraction
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DOI 10.1007/s11023-012-9284-0
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Gambling with Truth.Isaac Levi - 1967 - Cambridge: MIT Press.

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