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saturn comments on Harry Potter and the Methods of Rationality discussion thread, part 3 - Less Wrong
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People stop there because going further starts hurting instead of helping. The PD payoff matrix implies that I want to avoid cooperating if I can, but it's more important that I get you to cooperate, even if in order to do that, I have to cooperate. Adding more restrictions on your reasons for cooperating can't make the outcome better for me, I only care that you do it.
Going one step further doesn't (generally) add restrictions; it just changes them. Consider:
Using classical logic after the modal operator, these reduce to:
Actually, now that I write it out like this, I can see why one would choose (3)!
It's important that there's an ‘if I know that’ instead of an ‘iff’, which I've seen before. But the version above is how I parsed WrongBot's statement, so hopefully WrongBot quoted it correctly. (The search function is not helping me find an original.)