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Technologos comments on The Aumann's agreement theorem game (guess 2/3 of the average) - Less Wrong
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Comments (149)
The Danish newspaper Politiken played this game too, for 5000 kroner. Turns out that the actual answer was 21.6 out of 100.
I agree that it's a pretty flawed test of the agreement theorem, but the real assumption that this game tests is common knowledge of rationality. Only if that holds can we say 0 is the rational solution. If any player does not have that common knowledge, the rational solution is likely to be nonzero.
Did the Politiken game have an explicit policy for what to do in the case of ties? That becomes a more pressing question when kroner are involved.
Best I can tell from Google Translate's version of the page linked in that Wikipedia article, they split the winnings among those who tied at the best guess. The article says that five people guessed the same number and won.