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wedrifid 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.
No. If you know all relevant data yourself you don't have to know it again just because B knows it. That is just a naive, inefficient way to implement the 'source code'. Call the code 'DRY' for example. Or consider it an instruction to do a 'shallow copy' and a 'memory free' after a getting a positive result for a 'deep compare'.