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bgrah449 comments on The Aumann's agreement theorem game (guess 2/3 of the average) - Less Wrong
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I saw Warrigal's comments about any guess that is not trying to win as being dishonest. This appears to mean that any answer over 67 is not only wrong, but if I know it is wrong, it is dishonest; but since I know that, any answer over 44 is not merely wrong but also dishonest, etc.
Clever, but not quite; if you knew you were playing the game with 3 other people, who you knew would each probably (dishonestly) play 100, it would be perfectly honest and rational to submit 60 (and simply rational to submit any x with 0 < x < 100, since you'd still win).