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Gavin comments on Timeless Decision Theory: Problems I Can't Solve - Less Wrong
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If we wanted to be clever we could include Eliezer playing against himself (just report back to him the same value) as a possibility, though if it's a high probability that he faces himself it seems pointless.
I'd be happy to front the (likely loss of) $10.
It might be possible to make it more like a the true prisoner's dilemma if we could come up with two players each of whom want the money donated to a cause that they consider worthy but the other player opposes or considers ineffective.
Though I have plenty of paperclips, sadly I lack the resources to successfully simulate Eliezer's true PD . . .
Meaningful results would probably require several iterations of the game, though, with different players (also, the expected loss in my scenario was $5 per game).
I seem to recall Douglas Hofstadter did an experiment with several of his more rational friends, and was distressed by the globally rather suboptimal outcome. I do wonder if we on LW would do better, with or without Eliezer?