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A political tic-tac-toe math question

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This diary is frivolous.  If you don't like frivolousness (even when it has a chance of becoming frivolity), then I'm sorry for yanking your chain.  Get out while you can!

For the past few days, the front page feature box has shown a graphic linking to a story on the 4/26 DKos/SEIC PPP poll dealing with the intensity gap.  It looks like this:

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The first things I noticed about it was that (1) someone is going to win and (2) you can't figure out who it is without knowing who moved first.  (The third thing I noticed is that the colors are reversed.  Weird.  Why?)  Something about that second point nagged at me.  I thought that it might be possible to figure out who went first by seeing what moves could have led to that position.  Easy, right?  Some protracted time later, I came to a tentative conclusion: I don't think that this is an end game that you can reach in tic-tac-toe with two rational players, meaning players who will take the win as soon as they can get it.

I write this diary to see if anyone else can solve this puzzle more appealingly.


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