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Let's be careful about this.
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What makes it a sequential move game
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is not simply that Player I moved first
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and Player II moved second, although that's true,
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what really made this a sequential move game is
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that Player II knew what Player I had done
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before he got to make his move.
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It isn't the timing per se that matters,
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it's going to turn out it's the fact that
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Player II could observe Player I's choice
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before having to make his or her choice that matters.
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Notice, just while we're on the subject,