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This being a Game Theory class, there's at least one game we have to discuss and we've come to it now.
既然这门课叫博弈论,我们就得学习一下接下来要讲的模型
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I've only been to one basketball game, and I think it was a New York Knicks against someone -
我仅仅看过一场篮球赛，当时好像是纽约尼克斯队和某个队的比赛。
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Even though these best responses are pretty complicated it turns out that there's only one Nash Equilibrium in this game.
虽然最佳对策是很复杂的,在这个博弈中却只有一个纳什均衡
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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。
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But I thought it was actually one of the better places to see a show or a game.
但我想它真是个看表演或比赛的好去处。
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In the language, if I can switch to the language of modern economics, one could say that for Thrasymachus politics is a zero-sum game.
换个领域的词汇，让我用现代经济学的话来说，这可能将，Thrasymachus，式的政治,喻成一场零和游戏。
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We're going to converge in, in this game, to just one strategy for each player, which is where they intersect.
这个博弈最后会归为一点,每个人只有一个策略,就是交点处
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One of the first things we pointed out, is that this is not quite a game yet.
有一点需要强调一下,这还不能称之为博弈
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So, one thing to remark about this game, one thing that we've learned immediately, is that this game is different in a significant way.
这个博弈中最明显的一点,也是直接能观察出来的是,这个博弈和其他博弈有很大不同
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One thing we learned was that communication can help in a coordination game.
从中我们了解到了,交流在协调博弈中可以起到作用
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What it's saying is one strategy for each player in the game.
他表示每个参与人都有一个对应的策略
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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。
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So it could be that they think that this is actually-- they haven't understood the experiment and they think this is a multi shot game, not a one shot game, good.
可能是这些人觉得这是,他们没有理解实验的目的,他们认为这是多次博弈而不是单次博弈
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Now one reason it's a fun class, is the nice thing about teaching Game Theory quieten down folks- one thing about teaching Game Theory is, you get to play games, and that's exactly what we've just been doing now.
为什么这门课很有趣,因为学习博弈论,大家安静一下,在课堂上我们通过一些游戏来学习博弈,我们不刚做完一个游戏吗
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One other remark before we leave this, in the game we played last time, in the investment game, one feature of that game was that the more you thought other people were going to invest, the more you wanted to invest.
在继续讲下面的内容前,我再多说几句,上一讲的投资博弈有一个特征,就是如果你越认为大家会投资,你就越想投资
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Just to see that in a very simple example, again, we don't use such a complicated example as the one we looked at last time, you could imagine a game, a really trivial coordination game, which looked like this .
不妨再举一个例子,我们就不找上一讲那么复杂的案例了,看一下这个简单的协调博弈,如
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