So in that game we played at the end last time, what were the set of strategies?

上节课我们最后做的游戏,策略的集合是什么样的呢

耶鲁公开课 - 博弈论课程节选

So these strategies -- let's be careful here with the word weakly here -- these strategies are not weakly dominated in the original game.

所以这些策略,对于这里的弱一词,我们要谨慎对待,这些策略在原博弈中并不是弱劣势的

耶鲁公开课 - 博弈论课程节选

Every game we've seen in the class so far has had a discrete number of strategies.

目前为止我们遇到的博弈,每个策略都是不连续的

耶鲁公开课 - 博弈论课程节选

The strategies that are less than 67 but bigger than 45, I think these strategies are not, they're not dominated strategies in the original game.

对于选择大于45而小于67的数,我认为他们并不是,在原博弈中并不是劣势策略

耶鲁公开课 - 博弈论课程节选

So we've now got all of the ingredients of the game: players, strategies, payoffs.

现在这个博弈的所有要素都有了,参与人,策略和收益

耶鲁公开课 - 博弈论课程节选

Notice this game is not symmetric in the payoffs or in the strategies.

但注意此博弈的策略与收益是非对称的

耶鲁公开课 - 博弈论课程节选

Delete those. Look at the game with all those dominated strategies deleted.

先剔除劣势策略,然后重新观察这个博弈

耶鲁公开课 - 博弈论课程节选

Is one of the strategies dominated in this game?

这里有劣势策略吗

耶鲁公开课 - 博弈论课程节选

Second ingredient of the game are strategies.

博弈的第二个要素是策略

耶鲁公开课 - 博弈论课程节选

And underlining what arises in this game, notice that in this game we're able to eliminate one of the strategies, in this case the strategy of shooting to the middle, even though nothing was dominated.

我们从这个博弈中可以得出,我们能够剔除其中的一个策略,在本案例中是从中路射门,尽管这里并没有劣势策略

耶鲁公开课 - 博弈论课程节选

So the players in this game are two firms and the strategies in this game for the firms and this is going to turn out to be important the strategies are the quantities that they produce of an identical product.

这个博弈的参与人是两家公司,他们的可选策略如下,以后你会知道这是多么重要,策略是,某种同质商品的产量

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

Okay, so if we had stopped the class after the first week where all we learned to do was to delete dominated strategies, we'd be stuck, we'd have nothing to say about this game and as I said before, this is the most important game, so that would be bad news for Game Theory.

好了,如果我们只学了第一周的内容,即如果我们只学到了剔除劣势策略的话,我们没招了,我们无法解释这个博弈,但我之前说了,这是个很重要的博弈,这对博弈论来说可不是个好消息

耶鲁公开课 - 博弈论课程节选