Perplexed comments on Model Uncertainty, Pascalian Reasoning and Utilitarianism - Less Wrong

23 Post author: multifoliaterose 14 June 2011 03:19AM

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Comment author: Perplexed 17 June 2011 02:39:01PM *  1 point [-]

Why spend only half on U1? Spend (1 - epsilon). And write a lottery ticket giving the U2-oriented decision maker the power with probability epsilon. Since epsilon * infinity = infinity, you still get infinite expected utility (according to U2). And you also get pretty close to the max possible according to U1.

Infinity has uses even beyond allocating hotel rooms. (HT to A. Hajek)

Of course, Hajek's reasoning also makes it difficult to locate exactly what it is that U2 "says you should do".

Comment author: Will_Sawin 17 June 2011 03:40:35PM 0 points [-]

In general, it should be impossible to allocate 0 to U2 in this sense. What's the probability that an angel comes down and magically forces you to do the U2 decision? Around epsilon, i'd say.

U2 then becomes totally meaningless, and we are back with a bounded utility function.