So the idea here is shooting to the left if you're right footed is the natural direction, so left here means the natural direction.

就是说如果你习惯用右脚射门,那么你从左路攻门就是自然方向,在这里左路表示自然方向

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And there is no belief you could possibly hold given these numbers in this game that could ever rationalize shooting the ball to the middle.

在给出的这些数据下,无论你认为门将有多大概率会扑向右路,从中路射门绝对不是一个合理的选择

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It turns out, if you look at those dotted lines, there's an area in the middle, the area between here and here, this little area here, you actually might be just fine shooting to the middle.

请大家看这条虚线,在这两点中间的范围内,就是这个小区间内,从中路射门也是个不错的选择

耶鲁公开课 - 博弈论课程节选

So, not surprisingly in this game, it turns out that if the goalie dived to the left you're best off shooting to the right, second best off shooting to the middle, and worst off shooting to the left.

因此毫无争议地说,如果门将扑向左路,你最好选择从右路射门,其次是从中路射门,最差的选择是从左路射门

耶鲁公开课 - 博弈论课程节选

And if the goalie dives to the right, you're best off shooting to the left, second best off shooting to the middle, and worst off by shooting to the right; and that's kind of common sense.

如果门将扑向右边,你最好从左路射门,其次从中路射门,从右路射门是最差的选择,这些都是常识了吧

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Here it goes in the middle, and if you look carefully there, I didn't really make it clear enough, you can see, suddenly a strategy that looked crazy shooting to the middle, that suddenly started to seem okay.

这是中路射门的情况,如果你仔细看,我可能画的不是很清楚,你会发现曾经卖傻似的中路射门法,现在竟然一下子变成香饽饽了

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Conversely, if you think the goalie's going to shoot to the right with probability more than a ?, then the best you can do is represented by the pink line, and that's shooting to the left, or if you think the goalie's going to dive to the right with the probability more than a ?, the best you can do, your best response is to shoot to the left.

相反如果你认为门将扑向右侧的概率,大于?的情况下,此时你最佳策略用粉线表示,即从左路射门,也就是说如果你觉得门将扑向右路的,概率大于?的话,你最好选择从左路射门

耶鲁公开课 - 博弈论课程节选