bill comments on Post Your Utility Function - Less Wrong

28 Post author: taw 04 June 2009 05:05AM

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Comment author: bill 06 June 2009 11:53:15PM 0 points [-]

Example of the "unappealingness" of constant absolute risk aversion. Say my u-curve were u(x) = 1-exp(-x/400K) over all ranges. What is my value for a 50-50 shot at 10M?

Answer: around $277K. (Note that it is the same for a 50-50 shot at $100M)

Given the choice, I would certainly choose a 50-50 shot at $10M over $277K. This is why over larger ranges, I don't use an exponential u-curve.

However, it is a good approximation over a range that contains almost all the decisions I have to make. Only for huge decisions to I need to drag out a more complicated u-curve, and they are rare.