There's no point at which the 6, at which it shooting in the middle gets a higher payoff.

在6那条线,即从中路射门的线上,任何一点都无法使你获得较高的收益

耶鲁公开课 - 博弈论课程节选

Here, at least, we got somewhere, we got rid of the idea of shooting to the middle.

但现在,至少我们有点办法了,我们至少剔除了从中路射门的策略

耶鲁公开课 - 博弈论课程节选

So you might think that maybe middle dominates left, but notice that middle has a higher payoff against left than shooting to the left.

你可能认为中路比左路好,那请你仔细看一下在门将扑向左路时,从中路射门的收益确实比左路高

耶鲁公开课 - 博弈论课程节选

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

耶鲁公开课 - 博弈论课程节选

So this line represents the expected payoff of shooting to the middle as a function of the probability that the goal keeper dives to the right.

这条线表示从中路射门时罚球者的收益,是门将扑向右路概率的一个函数

耶鲁公开课 - 博弈论课程节选

And underlining what arises in this game, notice that in this game we're able to eliminate one of the strategies, in this case the strategy of shooting to the middle, even though nothing was dominated.

我们从这个博弈中可以得出,我们能够剔除其中的一个策略,在本案例中是从中路射门,尽管这里并没有劣势策略

耶鲁公开课 - 博弈论课程节选

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

耶鲁公开课 - 博弈论课程节选

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

耶鲁公开课 - 博弈论课程节选