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cousin_it comments on AI cooperation in practice - Less Wrong
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Your proposed change will make A always output 1, and thus become a rather poor player in the Prisoner's Dilemma. You don't want to cooperate with everybody.
However, B will as well, and you do want to cooperate with everybody who cooperates with you, so my proposed change works very well.
Not if they will cooperate regardless of what you do. Then you can win more by defecting.
A knows B's source code, and so it knows that B will only output a 1 if A and B output the same thing, i.e. only if A and B both output 1.
No, A doesn't know that because it doesn't know B's proof checker is correct.
You really have to be triple extra careful when talking about this stuff. I'm trying to.
Yes, I see that.