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and shoot first to try and pre-empt you from shooting him,
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you might be tempted to shoot before the worse shot shoots to
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preempt the worse shot from pre-empting you from shooting him.
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And if you're the worse shot maybe you're going to try
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and shoot first, even earlier,
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to pre-empt the better shot from pre-empting the worse shot,
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from pre-empting the better shot from shooting the worse shot and so on.
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So what's clear is that this game has a lot to do with pre-emption.
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Pre-emption's a big idea here,
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but I claim it's not at all obvious who's going to shoot first,
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the better shot or the worse shot.
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Is that right?