Incomplete Preference and Indeterminate Comparative Probabilities

The notion of comparative probability defined in Bayesian subjectivist theory stems from an intuitive idea that for a given pair of events, one event may be considered ‘more probable’ than the other. Yet it is conceivable that there are cases where it is indeterminate as to which event is more probable, due to, for example, lack of robust statistical information. I take it that these cases involve indeterminate comparative probabilities. This article provides a Savage-style decision-theoretic foundation for indeterminate comparative probabilities.

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