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JGWeissman comments on The Aumann's agreement theorem game (guess 2/3 of the average) - Less Wrong
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OK, but I don't see why the assumptions listed above should result in everyone guessing 0 (which is my point), and 2 minutes with google hasn't told me about any further assumptions.
If one of the assumptions is that a tie is as valuable as a win, then I see your point, but I haven't seen that made explicit.
I think a reasonable assumption is that a tie between N people is worth 1/N of a unique win, to each of the winners. This would makes sense if there were a prize that was to split between the winners (and your utility function is linear with respect to the prize).