Stuart_Armstrong comments on Expected utility without the independence axiom - Less Wrong

9 Post author: Stuart_Armstrong 28 October 2009 02:40PM

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Comment author: Stuart_Armstrong 29 October 2009 12:52:15AM 1 point [-]

Once you abanndon independence, the possibilities are litteraly infinite - and not just easily controllable infinities, either. I worked with SD as that's the simplest model I could use; but skewness, kurtosis or, Bayes help us, the higher moments, are also valid choices.

You just have to be careful that your choice of units is consistent; the SD and the mean are in the same unit, the variance is in units squared, the skewness and kurtosis are unitless, the k-th moment is in units to the power k, etc...

Comment author: RobinZ 29 October 2009 01:09:07AM *  0 points [-]

That's true - and it occurred to me after I posted the comment that your criteria don't define the decision system anyway, so even using some other method you might still be able to prove that it meets your conditions.