DanielLC comments on Bayesians vs. Barbarians - Less Wrong
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I know this post is long, long dead but:
Isn't this a logical impossibility? To have knowledge is to contain it in your source code, so A is contained in B, and B is contained in A...
Alternatively, I'm considering all the strategies I could use, based on looking at my opponent's strategy, and one of them is "Cooperate only if the opponent, when playing against himself, would defect."
"Common knowledge of each other's rationality" doesn't seem to help. Knowing I use TDT doesn't give someone the ability to make the same computation I do, and so engage TDT. They have to actually look into my brain, which means they need a bigger brain, which means I can't look into their brain. If I meet one of your perfectly rational agents who cooperates on true prisoners dilemma, I'm going to defect. And win. Rationalists should win.
A = "Preceded by it's own quotation with A's and B's swapped is B's source code" preceded by it's own quotation with A's and B's swapped is B's source code. B = "Preceded by it's own quotation with B's and A's swapped is A's source code" preceded by it's own quotation with B's and A's swapped is A's source code.
A and B each now contain the other's source code.
Edit: I used "followed" when it should have been "preceded".