That's just a graphical incarnation of this thing called an array and notice, the games can, in fact, interact with a human much like Wednesday, I'm leaving my house.

它其实是数组变量的,图形化，具体化，这个游戏实际上是与人交互的，如周三看到的，我正要离开我的房子。

哈佛公开课 - 计算机科学课程节选

We'll discuss this in a second, but why don't we actually record what the game is, that we're playing first.

一会再开始分析,我们先记录一下这个游戏的内容

耶鲁公开课 - 博弈论课程节选

And so if you choose to elect the hacker edition of this week's problem set the challenge will be to figure out not only how to implement the game but how to implement a solver for the game.

因此，如果你选择这周的应用题目为升级版,那么你将面临的挑战,不仅是如何实现这个游戏，而且,要实现此游戏的解决方法。

哈佛公开课 - 计算机科学课程节选

The fact that I haven't seen this particular combination of words " isn't enough to make it interesting."

尽管我没见过这个特别的文字组合,但不足以让这个游戏变得有趣“

耶鲁公开课 - 死亡课程节选

I mean, one thing--I play a fair amount of I play a little bit of poker and I'm very interested in the game.

举个例子说，有一件事情-我自己也玩的很多,我会玩一点扑克,而且我对这个游戏非常感兴趣。

耶鲁公开课 - 金融市场课程节选

You played the game; I don't know if there's a videogame now, if people play games like this where London Bridge is Falling Down.

你们也玩过这个游戏吧,我不知道现在是不是有电子游戏了,如果有人玩过伦敦桥这个游戏

耶鲁公开课 - 生物医学工程探索课程节选

Another example. This captured my imagination-- when I was a kid, my dad told me about the invention of the chess game-- some of you know the story.

另一个例子，这个例子捕获了我的想象力-,在我小时，父亲给我讲象棋游戏的由来-,有些人可能知道这个故事。

哈佛公开课 - 幸福课课程节选

Those of you in my section will already be familiar with this.

参加过我课后辅导的同学,应该已经熟悉这个游戏了

耶鲁公开课 - 聆听音乐课程节选

So, Bohr came way ahead of the game.

波尔主导了这个游戏。

麻省理工公开课 - 固态化学导论课程节选

Let me change the game slightly.

让我稍微改动一下儿这个游戏。

麻省理工公开课 - 计算机科学及编程导论课程节选

And this is going to be the prize for this game and we better give this to someone we trust.

这就是这个游戏的奖金,把它交给一个大家信得过的人

耶鲁公开课 - 博弈论课程节选

It doesn't matter if we finish a little bit early, but I want to try to get this game at least started.

不管能不能提前下课了,还是先开始这个游戏吧

耶鲁公开课 - 博弈论课程节选

So let me go ahead and pull up the staff solution 15 to the standard edition for a moment, the game is called 15, it takes one command line argument which is the dimensions of the board 3 by 3, 4 by 4, I'll do it 4 by 4.

下面我们继续,等一会儿，我会给出标准的解答，这个游戏叫做，有一个命令行参数，标识其大小是,3阶还是4阶，我选择4阶。

哈佛公开课 - 计算机科学课程节选

Sure, there'd be some new particular puzzle you hadn't seen before, but you'd sort of step up a level and say, "Although I haven't seen this particular one before, I've seen crossword puzzles before.

当然肯定有你没见过的特殊填字游戏，但你会退一步说，“虽然我没见过这个特殊的填字游戏，但我见识过填字游戏。

耶鲁公开课 - 死亡课程节选

How do we know that everyone choosing 1 is the Nash Equilibrium in the game where you all chose numbers?

我们怎么知道在那个数字游戏中,选择1就是这个博弈的均衡呢

耶鲁公开课 - 博弈论课程节选

We handed out again the game with the numbers, but just in case, let me just read out the game you played.

再来介绍一下这个数字游戏,但是以防万一,我来介绍下游戏规则

耶鲁公开课 - 博弈论课程节选

This has outcomes in it, it's an outcome matrix, but it isn't a game, because for a game we need to know payoffs.

这个游戏有不同的结果,我们用结果矩阵来表示,但是它不是一个博弈,因为我们必须知道收益才能进行博弈

耶鲁公开课 - 博弈论课程节选

It's asking a lot to get to 1 here, and in fact, we didn't get to 1.

需要很多条件才能使最终结果是1的,实际上这个游戏一直都没有到1

耶鲁公开课 - 博弈论课程节选

But the game here is gonna be played pretty much the same.

但这个游戏在开始时应该是相同的。

哈佛公开课 - 计算机科学课程节选

Did people play Nash Equilibrium when we played that game?

谁在做这个游戏时就想到纳什均衡了吗

耶鲁公开课 - 博弈论课程节选

Now, again, let's just iterate the point here.

好吧,我们重申一下这个游戏的要点

耶鲁公开课 - 博弈论课程节选

They're trying to win the game.

他们想要成为这个游戏的赢家

耶鲁公开课 - 博弈论课程节选

This is a game where you get a little plastic device, it's got 15 plastic numbers on it and one hole in this little plastic board and you can move those numbers up, down, left to right, and the goal is to take what's a random assortment of tiles and arrange them in numeric order and that's one of these little things you can play sort of absentmindedly.

在这个游戏中，你会拿到一个可塑的装置，上面有15个数字和一个孔,你可以将数字上下移动，左右移动，目标就是,拿到一个随机的组合后,将其按数字顺序排列,这个你可以随便玩玩。

哈佛公开课 - 计算机科学课程节选

I think what makes a difference is not only do you, yourselves, know better how to play this game now, but you also know that everybody around you knows better how to play the game.

我觉得因为不仅你们自己,玩这个数字游戏玩得更好了,你们也了解到周围的人,也玩得更高了

耶鲁公开课 - 博弈论课程节选

This is incredibly important because,when you look at this number that we started out with,saying the benchmark was 9.9 but net of fees the managers on average only lost thirty basis points--or .3% -you'd say,well that's a game I don't mind playing.

这极其重要,因为当你看这些数字时,刚才说过基准收益是9.9%,但是主动管理型基金经理人的平均净利润,只落后了30个基点或者说0.3%,你可能会说这个游戏,我不介意玩一玩

耶鲁公开课 - 金融市场课程节选

Now for the hacker edition, if you are feeling up to a bit more of a challenge you'll find that when you run the game, one it's not all that hard to use some ASCII art just make it a little fancier as the teaching fellow who implemented this solution did.

对于升级版，如果你能应付更大的,挑战，你会发现当你在玩这个游戏时，用一些字符画把它做得,比那些教学人员做的更有新意,并不是那么困难。

哈佛公开课 - 计算机科学课程节选

So it turns out that the average in this class, the average choice was about 13 1/3, which means two-thirds of the average was 9.

这个游戏的最终结果,平均数大概是13又1/3,它的2/3是9

耶鲁公开课 - 博弈论课程节选

It's true we repeated it but what is it about repeating it?

我们重复了这个游戏,重复了又怎么样了呢

耶鲁公开课 - 博弈论课程节选

Discussing this game raised not just each person's sophistication, but it raised what you know about other people's sophistication, and you know that other people now know that you understand how to play the game.

对这个游戏的分析,不仅让每个人都更老练了,也使你们更了解别人老练的程度,并且你知道别人知道,你知道如何玩好这个游戏

耶鲁公开课 - 博弈论课程节选