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We have to be a little bit careful.
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It's not the case that for Hannibal,
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choosing the easy pass to attack through,
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strictly dominates choosing the hard pass,
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but it is the case that there's a weak notion of domination here.
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It is the case -- to introduce some jargon --
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it is the case that the easy pass for the attacker,
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weakly dominates the hard pass for the attacker.
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What do I mean by weakly dominate?
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It means by choosing the easy pass,
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he does at least as well, and sometimes better,
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than he would have done had he chosen the hard pass.