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Review: Savage Arms Stance | An Official Journal Of The NRA

Savage’s foundation of expected utility is considered to be the most convincing justification of bayesian expected utility and the crowning glory of decision theory The purpose of this document is to provide quick and detailed proofs of theorems that are omitted from [savage, 1972] But careful study of admissibility leads almost inexorably to the recognition of personal probabilities and their central role in statistics (savage 1961, section 4

To state savage’s postulates, i employ the following notation and definitions

Given an event e and acts f and h, let feh be the act such that (feh) (s) = f (s) if s ∈ e, and (feh) (s) = h (s) otherwise. It has long been the fashion to invoke languages which lack the terms for expressing such a concept as ‘tree’ or ‘animal’, even though they contain all the words necessary for a detailed inventory of.