So it's true that Ale knows that at least one person in the room has a pink hat on their head.

所以艾尔确实知道,至少有一个人戴着粉色的帽子

耶鲁公开课 - 博弈论课程节选

Well I'll reveal the facts now: that in fact Ale knows that Kaj has a pink hat on his head.

我已经告诉你们了,艾尔只知道卡佳戴着粉色帽子

耶鲁公开课 - 博弈论课程节选

It watched the back of his neck and hat for a minute, and then a hand came in and sat on his shoulder.

他从后面看了看,那个人的脖颈和帽子，然后将手伸进了车窗,搭在了他的肩上。

耶鲁公开课 - 1945年后的美国小说课程节选

So Ale does not know that Kaj knows that there's a pink hat in the room.

所以艾尔不知道卡佳知道,这里有一定粉色的帽子

耶鲁公开课 - 博弈论课程节选

So again, they both know that someone in the room has a pink hat on their head: it is mutual knowledge that there's a pink hat in the room.

但是他们都知道,至少有一个人戴着粉色帽子,至少有一顶粉色帽子是相互知识

耶鲁公开课 - 博弈论课程节选

Remember he goes in to the prostitute's house, Mrs. Watts's, and he's got a hat on, and the hat just makes him look like a preacher.

记得有次他去Watts太太的妓院，他戴了顶让他看上去，像传教士的帽子。

耶鲁公开课 - 1945年后的美国小说课程节选

So the best response for Player 1, as a function of what Player 2 chooses, q2, is just equal to the q1 hat in this expression and if I solve that out carefully, I will no doubt make a mistake, but let's try it.

这个就是参与人1的最佳对策,它是参与人2策略q2的一个函数,它和之前的q1帽那个表达式是相等的,虽然我是很仔细地计算的,还是有可能算错的,我来验证一下

耶鲁公开课 - 博弈论课程节选