Each of them is trying to play a best response for what they anticipate the other person's going to do.
每家公司都想采取预料的对方策略的,最佳对策来制定产量
If you want to do the nightlife in San Francisco, you go there. That's the best.
如果你想在旧金山过过夜生活,那里是最佳选择。
I could do the same thing for Player 2 to find Player 2's best response for every possible choice of Player 1.
同理对于参与人2来说,可以算出参与人1不同策略的最佳对策
And in a moment, I'll ask whether it's the best possible explanation, but before we do turn to that question, there is an objection to this entire way of looking at things that's probably worth pausing for a moment and considering.
而马上,我要问你们这是否是最好的解释,但在我们转向那个问题之前,有一个对这一整套,看待问题的方式的反驳,或许值得我们稍微停留并考虑一番
So, that's the menu for today, at least that's what Moungi assigned me to cover, and I'll do the best I can.
这就是今天这堂课的重点,至少这是Moungi让我来讲的内容,我也将尽可能把它讲好。
And the president, on many occasions, took unpopular positions that he thought were the right policy because that's what he thought he was elected to do was to use his best judgement and that judgement didn't necessarily need to be the most popular thing around.
许多场合下总统,都会采取并不受推崇的做法,但他认为是正确的政策,因为他认为这是他当选总统该做的,就是运用他最好的判断力,这种判断未必是,最受欢迎的。
So what we're going to do together is to figure out what these best responses look like and let's try and do that.
所以我们将一起找出,最佳对策是什么,我们一起试着找找
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
So the thing that I hope jumps out at you from this picture is no great guesses about figuring out this is a ?, so if the probability that the goalie's going to jump to the right is less than a ?, then the best you can do is represented by this green line, which is shoot to the right.
我希望大家都能从图中看出来,得出这一点的横坐标是?不难,如果门将扑向右路的概率,小于?的时候,此时你的最佳策略用这段绿线表示,即你应该从右路射门
So what we're going to do is we're going to figure out Player 1's best response quantity to each possible choice of Player 2, and then we're going to flip it around and figure out Player 2's best response quantity to each possible choice of Player 1, and then we're going to see where those coincide, where they cross.
下面我们就需要表示出,参与人1对于2不同产量下的最佳产量,然后反过来写出,在参与人1的不同产量下,参与人2的最佳产量,然后再来看看这两者在哪里相交
So for each possible choice of S2, I'm going to draw Player I's best response and we'll do it in red.
对于任意定义域内的S2,我用红色来表示参与人I的最佳对策
So what I need to do then is I need to figure out what is Player 1's best response for each possible choice q2 of Player 2.
所以我们要先找出,在参与人2的每个可选策略q2下,参与人1的最佳产量
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