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Plasmon comments on How should Eliezer and Nick's extra $20 be split - Less Wrong
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Comments (66)
EY believes he deserves the money with probability p.
NB believes he deserves the money with probability q.
The following rules would, I think, be considered fair by most people:
If p=q, f(p,q) should be 1/2.
If p=0, f(p,q) should be 0 (EY gets nothing).
If q=0, f(p,q) should be 1 (EY gets everything).
The simplest rational function obeying these conditions is f(p,q) = p/(p+q)
You are using the same notation the OP used to mean something different!
Really?
Oh! You're right. The OP's q is 1-(my q), so this solution reduces to option (1) in the OP.