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