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the three choices lead to a tie or he loses,
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so I claim once again this is simple.
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What Player 1 should do is what?
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Choose the tie since there's no way of winning.
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But in that case he could actually force it.
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He could actually choose the tie in which case he's going to tie.
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So this game has a solution called choose the tie.
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And again, we could replace the first node of the game with
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what's actually going to happen which is a tie.
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Everyone happy?
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There's one other possibility I guess.
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The other possibility is that