NancyLebovitz comments on Does Solomonoff always win? - Less Wrong

11 Post author: cousin_it 23 February 2011 08:42PM

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Comment author: NancyLebovitz 25 February 2011 03:37:49AM 0 points [-]

First let's set the input sequence to be very malevolent toward Omega: it will always say the reverse of what Omega is projected to say based on the previous bits.

This is probably a very uninformed question, but couldn't Omega break even vs. a intended-to-be malevolent bit stream by choosing a random sequence?

Comment author: cousin_it 25 February 2011 06:06:34AM *  0 points [-]

In the post I wasn't talking about any possible Omega, but about one specific Omega that has a mathematical definition. But I wouldn't call your question uninformed, because it might be the correct question to ask here: paulfchristiano has already suggested that Solomonoff induction augmented with randomizing has the potential to win more games than the regular kind.

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