timtyler comments on Timeless Decision Theory: Problems I Can't Solve - Less Wrong

39 Post author: Eliezer_Yudkowsky 20 July 2009 12:02AM

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Comment author: timtyler 30 November 2010 10:57:32PM 1 point [-]

Strategies are probability (density) functions over choices.

After looking at this: http://lesswrong.com/lw/vp/worse_than_random/

...I figure Yudkowsky will not be able to swallow this first sentence - without indigestion.

Comment author: Sniffnoy 30 November 2010 11:51:00PM 2 points [-]

In this case, I can only conclude that you haven't read thoroughly enough.

(There are exceptions to this rule, but they have to do with defeating cryptographic adversaries - that is, preventing someone else's intelligence from working on you. Certainly entropy can act as an antidote to intelligence!)

I think EY's restriction to "cryptographic adversaries" is needlessly specific; any adversary (or other player) will do.

Of course, this is still not really relevant to the original point, as, well, when is there reason to play a mixed strategy in Prisoner's Dilemma?

Comment author: Vaniver 30 November 2010 11:56:30PM 1 point [-]

Even if your strategy is (1,0) or (0,1) on (C,D), isn't that a probability distribution? It might not be valuable to express it that way for this instance, but you do get the benefits that if you ever do want a random strategy you just change your numbers around instead of having to develop a framework to deal with it.

Comment author: timtyler 01 December 2010 09:15:10AM *  0 points [-]

The rule in question is concerned with improving on randomness. It may be tricky to improve on randomness by very much if, say, you face a highly-intelligent opponent playing the matching pennies game. However, it is usually fairly simple to equal it - even when facing a smarter, crpytography-savvy opponent - just use a secure RNG with a reasonably secure seed.