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Vladimir_Nesov comments on The Aumann's agreement theorem game (guess 2/3 of the average) - Less Wrong
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Nope, it's the same argument. You can't know that I pick X and at the same time know that I pick X*4/9 instead. From the outset, you can't assume to know precisely what I pick, and considering all possible values that I pick and you know I pick (a set of situations indexed by X) doesn't fix that.