MrHen comments on A Request for Open Problems - Less Wrong

25 Post author: MrHen 08 May 2009 01:33PM

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Comment author: MrHen 08 May 2009 04:59:10PM 0 points [-]

This isn't a formal problem that can be "solved" with a formal solution. I am specifically talking about problems like the Angel problem or P = NP.

Examples I can think of from the top of my head are Newcomb's problem and the Prisoner's dilemma. Both of these can be expressed formally with Bayesian terms. Have the problems been solved? I assumed so or I would have brought them up in my post.

For fun, I am starting to work out what is needed to tackle Newcomb's problem and it certainly seems doable. I figured it is a good test of my new Bayesian skillz. Game theory claims to have "solved" one-shot PDs but not in a way that makes sense in helping someone decide what to do in a real life example. Newcomb's seemed easier so I am starting with that.

Comment author: RichardKennaway 08 May 2009 05:39:31PM 0 points [-]

Ok, I had interpreted the scope more widely than you intended.

I believe Eliezer has a formal analysis of Newcomb's problem, but I don't know if he's published it anywhere.

Comment author: conchis 09 May 2009 11:17:16AM *  2 points [-]

There are a fair number of formal analyses of Newcomb's problem. I particularly like this one:

D.H. Wolpert and G. Benford, What does Newcomb's paradox teach us? (showing that the standard approaches to the paradox encode fundamentally different - and inconsistent - views about the nature of the decision problem, and clearing up a number of other confusions.)

Comment author: taw 11 May 2009 05:39:59PM 0 points [-]