Coscott comments on How should Eliezer and Nick's extra $20 be split - Less Wrong

9 Post author: Coscott 14 June 2013 06:14PM

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Comment author: Coscott 15 June 2013 05:41:44PM 0 points [-]

The geometric mean gives 0 an advantage over 1, which makes it not symmetric in general. If we trust EY and NB the same, then f(p,1-q) should equal 1-f(q,1-p) (in both cases, one person thinks they get p of the dollar and the other thinks they get q.) Your variant of 2 does not satisfy this, which I think is the feature I think is the most important.