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When coherent preferences may not preserve indifference between equivalent random variables: A price for unbounded utilities.
equivalent random variables
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2008/4/18
We extend de Finetti’s (1974) theory of coherence to apply also to unbounded random variables. We show that for random variables with mandated infinite prevision, such as for the St. Petersburg gamble...
Indifference, Sample Space, and the Wine/Water Paradox
Probability Indifference Paradoxes
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2008/4/14
Von Mises’ wine/water paradox has served as a foundation for detractors of the Principle of Indifference and logical probability. Mikkelson recently proposed a first solution, and here several additio...
Ignorance and Indifference
Indifference Ignorance
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2008/4/14
The epistemic state of complete ignorance is not a probability distribution. In it, we assign the same, unique ignorance degree of belief to any contingent outcome and each of its contingent, disjunct...