Sniffnoy comments on A summary of Savage's foundations for probability and utility. - Less Wrong

34 Post author: Sniffnoy 22 May 2011 07:56PM

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Comment author: Oscar_Cunningham 22 May 2011 08:54:29PM *  3 points [-]

Excellent summary. Savage's founding of statistics is nice because it only assumes that agents have to make choices between actions, making no assumptions about whether they have to have beliefs or goals. This is important because agents in general don't have to use beliefs or goals, but they do all have to chose actions.

Thanks for the info about boundedness, I didn't notice that on my quick skim through the book.

Comment author: Sniffnoy 22 May 2011 09:03:18PM 2 points [-]

Yeah, obviously in the 1954 edition he didn't know that; in the 1972 edition, he leaves all the obsolete discussion in and just adds a footnote saying that FIshburn proved boundedness and giving a reference! Had to look that up separately. Didn't notice it either until late in writing this.

Fortunately (since I'm away from university right now) I found a PDF of Fishburn's book online: http://oai.dtic.mil/oai/oai?verb=getRecord&metadataPrefix=html&identifier=AD0708563