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lavalamp comments on The Aumann's agreement theorem game (guess 2/3 of the average) - Less Wrong
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The problem is that the game is not well-defined, since we are not told how to value ties. If everyone is allowed to value ties as they please, the game is far more complicated. Instead the OP should say something explicit, and probably it should be "ties are exactly as valuable as wins". But it's hard to enforce that, isn't it?
Yes, because I would continue to prefer to win without a tie. :)