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SoullessAutomaton comments on The Aumann's agreement theorem game (guess 2/3 of the average) - Less Wrong
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That's an interesting variation. Next time we might try this with the stipulation that the five highest answers (if there are at least five submissions greater than 0; otherwise all the positive answers) will get tossed out.
I still doubt that 0 would win that one, though.
Here's an interesting question: What percentage of outliers would need to be thrown out for you to confidently guess zero (assuming general pre-knowledge of how many will be thrown out, of course)?
I'd probably feel extremely confident if, for instance, only the middle third was kept.