Perplexed comments on If you don't know the name of the game, just tell me what I mean to you - Less Wrong

9 Post author: Stuart_Armstrong 26 October 2010 01:43PM

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Comment author: Perplexed 28 October 2010 12:59:43AM *  3 points [-]

In general the μ is not a real number, but a linear isomorphism between the two utilities, invariantly defined by some process.

"Isomorphism" (and "between") seems like a very wrong word to use here. Linear combination of two utilities, perhaps.

I suspect you misunderstand. The two isomorphic utilities (i.e. utility functions) are U2 and μU2. You seem to be referring to the linear combination of U1 and U2.

Comment author: Stuart_Armstrong 28 October 2010 09:11:49AM 1 point [-]

I've added an addendum to the post, laying out what μ actually is.

Though the whole addendum could be summarised as: yes, μ is pretty much what you'd expect. :-)