orthonormal comments on The Aumann's agreement theorem game (guess 2/3 of the average) - Less Wrong

15 [deleted] 09 June 2009 07:29AM

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Comment author: orthonormal 09 June 2009 07:42:41PM *  0 points [-]

By allowing you to choose a real number rather than just an integer, Warrigal has made it easy to avoid ties. Since I have myself played a non-integer, it is extremely unlikely that anyone will guess the exact value of the answer, so there is no penalty to picking a probably unique real number very close to your actual guess.

EDIT: On second thought, there is a penalty in that you could tie for the right answer with someone else if you chose a salient number, but you would roughly halve your chances of being the winner if you added or subtracted an epsilon.

Comment author: Vladimir_Nesov 09 June 2009 07:50:54PM *  4 points [-]

To improve on in this point, so that it's possible to move either way from anyone else's choice, we could make the choice to be from the open set (0,100) rather than from [0,100]. ;-)