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cousin_it comments on Circular belief updating - Less Wrong
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Well, it seems possible to set up an equivalent game (with the same probabilities etc) where the sorcerer is affecting a card deck that's shown to you.
Maybe I should have drawn the distinction differently. If the sorcerer can only affect your experiences, that's basically the same as affecting a card deck. But if the sorcerer can affect the way you process these experiences, e.g. force you to not do a Bayesian update where you normally would, or reach into your mind and make you think you had a different prior all along, that's different because it makes you an imperfect reasoner. We know how to answer questions like "what should a perfect reasoner do?" but we don't know much about "what should such-and-such imperfect reasoner do?"
I see what you mean now, I think. I don't have a good model of dealing with a situation where someone can influence the actual updating process either. I was always thinking of a setup where the sorcerer affects something other than this.
By the way, I remember reading a book which had a game-theoretical analysis of games where one side had god-like powers (omniscience, etc), but I don't remember what it was called. Does anyone reading this by any chance know which book I mean?
You might be thinking of Superior Beings by Steven Brams.
(My favourite result of this kind is that if you play Chicken with God, then God loses.)