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by Jessica Taylor 1163 days ago | Patrick LaVictoire and Stuart Armstrong like this | link | parent

I think it would help to explain how this works for prisoner’s dilemma specifically. This is NicerBot:

def NicerBot(opponent):
    with probability epsilon:
        cooperate
    otherwise:
        cooperate with the same probability that the opponent does (by querying the oracle)

It’s easy to see that NicerBot(NicerBot) will always cooperate, while NicerBot(DefectBot) will defect with \(1 - \epsilon\) probability. This seems like the correct analogue of FairBot in reflective oracle land.



by Vadim Kosoy 1162 days ago | Stuart Armstrong likes this | link

Note that the NicerBot is exactly what you get from the threat game formalism. Specifically, see the two equations near the end.

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by Stuart Armstrong 1162 days ago | link

Yep! I try and not make use of symmetry when I can avoid it, to make the result more general.

Note that NicerBot is neLP() with the allowable area being half of the output area (the half delimited by CC, DD and DC).

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