[ QUOTE ]
Did anyone ever figure out the game theoretic solution for N players?

[/ QUOTE ]

there are many (nash) equilibria of this game... for instance, there are equilibria in which exactly one player chooses 1, and the others choose anything else. This is what happened, it seems!

still, we can hardly claim tha game thoery predicts this, since there are many other equilibria with different outcomes (e.g. everyone chooses 1, except for one player who chooses 2)