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Conversely, if he goes on the hard pass and you defend the easy pass, he's going to lose one of those battalions.
相反,如果他选择崎岖之途,而你却防守平坦之路,那么他仅仅损失一个营的兵力
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Again, easy pass here just means no mountains, we're not talking about something on the New Jersey Turnpike.
强调一下 平坦之途不用翻山越岭,我们说的不是新泽西收费公路
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We should get you flags okay, because these are the Romans defending the easy pass.
应该给你们弄杆军旗来才对,这些都是镇守平坦之途的罗马士兵
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And there are two passes you could defend: the easy pass or the hard pass.
你要选择两条途径中的一条设防,平坦之途的或崎岖之途
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Is it the case that defending the easy pass dominates defending the hard pass?
防守平坦之途是否,到底是不是优于防守崎岖之途呢
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But if the attacker was to attack through the hard pass, again not surprisingly, you do better if you defend the hard pass than the easy pass.
但如果入侵者选择崎岖之途,仍然是毫无疑问,选择防御崎岖之途要比平坦之途好
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It means by choosing the easy pass, he does at least as well, and sometimes better, than he would have done had he chosen the hard pass.
它意味着选择平坦之途,较选择崎岖之途而言,至少要同样的好,可能还稍微好些
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Why does it seem like he's going to attack through the easy pass?
为什么他应该会选择从平坦之途入侵
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So we have a majority choosing easy pass -- had a large majority.
大多数人选择平坦的路,绝大多数
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So how many of you think you're going to defend the easy pass?
那么多少人选择防守平坦的之途
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And the other one is an easy pass. It goes along the coast.
另一条路平坦,只需沿着海岸线走
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Well if you're not defending the easy pass, he doesn't lose anyone, and if he attacks through the hard pass he's going to lose at least one battalion.
如果你没有在平坦之途设防他兵力不减,然而如果他从崎岖之途进军,那么他将至少损失一个营
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It is the case -- to introduce some jargon -- it is the case that the easy pass for the attacker, weakly dominates the hard pass for the attacker.
对入侵者来说,我们再词引入术语,对入侵者而言,平坦之途,弱优于崎岖之途
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How many of you think you should defend the easy pass?
有多少人选择防守平坦之途的
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It seems as though while you don't have a dominating strategy, it seems like Hannibal is better off attacking through-- It seems like he would attack through the easy pass.
虽然看起来你好像没有优势策略,但似乎汉尼拔将军最好的选择是,他应该会选择从平坦之途入侵
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In fact, we could check that if the attacker attacks through the easy pass, not surprisingly, you do better if you defend the easy pass than the hard pass: 1 versus 0.
我们来分析一下,如果入侵者选择平坦之途,毫无疑问,如果你选平坦之途要比崎岖之途更好,1比0
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He's going to attack on the easy pass.
他会选择从平坦之途入侵
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It's not the case that for Hannibal, choosing the easy pass to attack through, strictly dominates choosing the hard pass, but it is the case that there's a weak notion of domination here.
对汉尼拔而言,选择平坦之途入侵并不是,严格优于选择崎岖之途的,但是在这种情况下有一个弱优势
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So if you defend the easy pass, from his point of view, it doesn't matter whether he chooses the easy pass and gets one in there or the hard pass, he gets one in there.
那么如果你防守平坦的路,从他的立场出发,无论怎么选择,选崎岖之途收益是1,而选择平坦之途的收益也是1
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If you were to defend the easy pass and he goes through the easy pass, he will get into your country with one battalion and that's the same as he would have got if he went through the hard pass.
如果你们都选择的是平坦之途,那么他攻入你的国家时他只剩一个营,这与他选择崎岖之途别无二致
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But if you were to defend the hard pass, if you were to defend the mountains, then if he chooses the easy pass, he gets both battalions in and if he chooses the hard pass, he gets no battalions in. So in this case, easy is better.
但是如果你选择防守崎岖之途,即你要低于高山巨岭,而他却选择的是平坦之途,他将兵力全存,而要是选崎岖之途,他将全军覆没,这样来看,选择平坦之途要好些
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