PhilGoetz comments on Morality is not about willpower - Less Wrong

9 Post author: PhilGoetz 08 October 2011 01:33AM

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Comment author: taw 21 October 2011 01:57:58PM 2 points [-]

Here's fundamental impossibility result for modeling risk aversion in expected utility framework, and this is for the ridiculously oversimplified and horribly wrong version of "risk aversion" invented specifically for expected utility framework.

Actual risk aversion looks nothing like a concave utility curve, you can get one bet right, then when you change bet size, bet probability, wealth level or anything, you start getting zeroes or infinities where you shouldn't, always.

Prospect theory provides simple models that don't immediately collapse and are of some use.

Comment author: PhilGoetz 22 October 2011 03:00:14AM 0 points [-]

Also, prospect theory is a utility theory. You compute a utility for each possible outcome associated with each action, add them up to compute the utility for each action, then choose the action with the highest utility. This is using a utility function. It is a special kind of utility function, where the utility for each possible outcome is calculated relative to some reference level of utility. But it's still a utility function.

Every time someone thinks they have a knockdown argument against the use of utility functions, I find they have a knockdown argument against some special simple subclass of utility functions.