In the NBA,some people think twenty-five-year-old LeBron James could become the best player ever.

VOA: special.2010.07.26

Identify the best responses of each player as a function of the others and find out where they intersect.

把每个人的最佳对策看成别人策略的函数,然后找出函数的交点

耶鲁公开课 - 博弈论课程节选

So what is this? This is Player 2's best response, so Player 1's best response to Player 2 producing half monopoly output.

这是什么,这是参与人2的最佳对策,即参与人1对于2半垄断产量的最佳对策

耶鲁公开课 - 博弈论课程节选

Ghanaian forward Dominic Adiyiah was rewarded with the golden ball as the tournament's best player.

VOA: standard.2009.10.17

When the programmers play these programs or indeed when anybody, a good chess player, plays these programs, the best way to try to beat them is simply ask yourself, "What's the best move to make right now?"

当程序员或其他任何人,玩这个程序时,比如,一个优秀的棋手,在玩这些程序时,战胜它们的最好办法就是,问问自己,现在怎么走才最为明智

耶鲁公开课 - 死亡课程节选

The famous former basketball player Michael Jordan is considered to be one of the best "slam dunkers" of all time.

VOA: special.2011.03.25

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

耶鲁公开课 - 博弈论课程节选

That team included Michael Jordan, who is said to be the best basketball player of all time.

VOA: special.2009.07.10

The more I did of my strategy, the more the other player did as a best response.

我如果采用付出更多努力的策略,其他参与人的最佳对策也是这样

耶鲁公开课 - 博弈论课程节选

One of Rounder's artists is sometimes called the best banjo player in the world.

VOA: special.2010.04.19

So, in particular, what would be Player 1's best response if Player 2 didn't produce at all?

比如说,参与人2产量为0时1的最佳对策是什么

耶鲁公开课 - 博弈论课程节选

This was the best response of player 1 and this was the best response of Player 2.

这是参与人1的最佳对策,而这是参与人2的最佳对策

耶鲁公开课 - 博弈论课程节选

Good, so what I have here is an equation that tells me Player 1's best response for each possible choice of Player 2.

这个方程表示,参与人2不同策略下参与人1的最佳对策

耶鲁公开课 - 博弈论课程节选

In that game, if you remember what the best responses looked like, they looked like this where this was the effort of Player 1; this was the effort of Player 2.

不知道你们还记不记得最佳对策是什么了,这条线代表参与人1的付出,这条代表参与人2的付出

耶鲁公开课 - 博弈论课程节选

What is Player 1's best response? Someone read it off for me.

谁来说一下,参与人1最佳对策是什么

耶鲁公开课 - 博弈论课程节选

This is the best response of Player 1 to the best response of Player 2, to the best response of Player 1 to Player 2 producing half monopoly output and there are lots of brackets here.

它表示参与人1对于参与人2的最佳对策,是参与人2生产垄断产量一半的情况下的,这里有一大堆的括号

耶鲁公开课 - 博弈论课程节选

So her best thing now is to successfully meet David at The Bourne Ultimatum and David's preferences are Player 2's preferences, so his favorite thing is to successfully meet at The Good Shepherd.

她最希望和大卫一起看《谍影重重》,大卫扮演参与人2,他最想和妮娜一起看《特工风云》

耶鲁公开课 - 博弈论课程节选

We learned that in this game deleting strategies that are never best response, and then deleting strategies that are never best response to anything that is a best response and so on and so forth, yielded a single strategy for each player.

我们学到了在剔除,非最佳对策的策略后,要再剔除那些在对手最佳对策下,不是最佳对策的策略,以此类推,最后每个参与人都只有一个策略了

耶鲁公开课 - 博弈论课程节选

Because at this point, as in the partnership game, which there was a similar thing, as in the partnership game where the best responses intersect is where Player 1 is playing a best response to Player 2, and Player 2 is playing a best response to Player 1.

因为这一点,与合伙人博弈的情况一样,两者的情况是很类似的,合伙人博弈中最佳对策曲线的交点处,参与人1采用了回应参与人2的最佳对策,参与人2采用了回应参与人1的最佳对策

耶鲁公开课 - 博弈论课程节选

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

耶鲁公开课 - 博弈论课程节选

So the line I've just drawn is the best response for Player I as it depends on Player II's choice.

我画的这条线表明参与人I的最佳对策,取决于参与人II的策略

耶鲁公开课 - 博弈论课程节选

So, in particular, I want to figure out what is Player I's best response to each possible choice of Player II?

下面,我想知道怎样计算,参与人I,在参与人II每个策略下的最佳对策呢

耶鲁公开课 - 博弈论课程节选

What will Player II's best response look like as a function of Player I's choice in the same picture?

在同一个图像里面怎么表示,参与人II的最佳对策是I策略的函数

耶鲁公开课 - 博弈论课程节选

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

耶鲁公开课 - 博弈论课程节选

If Player II chooses 0 then Player I's best response is 1, and that's as low as he ever goes.

参与人II选0时参与人I最佳对策是1,这是最小值了

耶鲁公开课 - 博弈论课程节选

So if Player I chooses S1*, Player II will want to choose S2* since that's her best response.

所以当参与人I选择S1*时,参与人II就会选择最佳对策S2

耶鲁公开课 - 博弈论课程节选

If Player II is playing S2*, Player I will want to play S1* since that's his best response.

如果参与人II选择S2,参与人I就会选最佳对策S1

耶鲁公开课 - 博弈论课程节选

What's that telling me is that if Player 2 chooses not to produce then Player 1's best response is a - c over 2b.

参与人2产量为0而参与人1最佳对策是,/2b,这能说明什么

耶鲁公开课 - 博弈论课程节选

So the strategies below 1 and above 2 are never a best response for Player I.

也就是说小于1及大于2的策略,都不是参与人I的最佳对策

耶鲁公开课 - 博弈论课程节选

So these strategies down here less than 1 are never a best response for Player I.

参与人I的小于1的策略,永远都不会成为最佳对策的

耶鲁公开课 - 博弈论课程节选