lavalamp comments on The Aumann's agreement theorem game (guess 2/3 of the average) - Less Wrong
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It depends where in the range of 0-average the guess is.
But of course I see what you mean; I meant between 0 and (average * 3/4), sorry.
EDIT: (average * 3/4 + average * 3/8) is the upper bound, unless I forgot something or you're not allowed to go over.
EDIT 2: The point being, there's a lot more winning non-zero answers than zero answers.
Sure, but what are the odds of you getting the right one. If they're too low, then you could still better of with zero.
If I rank a tie and a loss the same, then I'm don't risk anything by guessing a non-0 value for the chance of winning outright.