torekp 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: torekp 24 May 2011 01:04:51AM 2 points [-]

I don't think P2 can be justified by Dutch Book type arguments. I don't think it can be justified, as a rational requirement of choice, at all. My reservations are similar to Edward McClennen's in "Sure Thing Doubts".

Comment author: Will_Sawin 25 May 2011 02:35:38PM 0 points [-]

So you would argue that, knowing a fact, your preferences can depend on what would have happened had that fact been false?

Comment author: torekp 25 May 2011 11:54:25PM 0 points [-]

Right. (Not my preference necessarily, but a rational person's.) The facts in question include past actions, which can form the basis of regrets. The value of an event can depend on its historical context - that doesn't seem unreasonable.

Comment author: Will_Sawin 26 May 2011 01:55:04AM 0 points [-]

Would we be able to write the outcomes as full histories?

Comment author: torekp 30 May 2011 07:22:51PM 0 points [-]

I don't see why not. However, I haven't seen many (any?) decision theory treatments that do so.