timtyler 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: timtyler 28 October 2009 06:55:05PM -1 points [-]

This article had an interesting title so I scanned it - but it lacked an abstract, a conclusion, had lots of maths in it - and I haven't liked most of Stuart's other articles - so I gave up on it early.

Comment author: Stuart_Armstrong 29 October 2009 12:59:43AM 2 points [-]

The article attempts to show that you don't need the independence axiom to justify using expected utility. So I replaced the independence axiom with another axiom that basically says that very thin distribution is pretty much the same as a guaranteed return.

Then I showed that if you had a lot of "reasonable" lotteries and put them together, you should behave approximately according to expected utility.

There's a lot of maths in it because the result is novel, and therefore has to be firmly justified. I hope to explore non-independent lotteries in future posts, so the foundations need to be solid.