Christoph Waltz earned the Oscar for Best Supporting Actor for his role as a Nazi colonel in the World War II film "Inglourious Basterds."
VOA: standard.2010.03.08
Even though the best response is pretty complicated-- and by the way, obviously the things are symmetric for Payer II.
虽然最佳对策是很复杂的,顺便说一下 选手2的情况也明显是这样
This system has worked well for twenty years now but it is being superseded by another Basel Convention -Basel II -which has been going on for some years now.
至今这个体系已经良好运作了20年,但是它即将被另一个巴塞尔公约所取代,新巴塞尔协议,其实它已经实施了好几年
During World War II, it was home to an internment camp for aliens, as well as American citizens the government considered a threat to the nation's security.
VOA: standard.2010.06.22
I'll tell you, in the south of France near where we live, when there was a lot of resistance in World War II against the Germans, there were some Protestant villages there that were noteworthy for their resistance.
例如在法国南部,当时我们住所的附近,有一些新教徒的村子,这些村民们在二战中奋力抗击德国的入侵,并因为他们的不屈抗争而闻名
And secondly Israel, even though itself, its people originally suffered a great holocaust - the great genocide of World War II - has not recognized it, again for strategic reasons, its connection with Turkey."
VOA: standard.2010.03.19
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
On January 24, Pope Benedict lifted the excommunication of British-born Richard Williamson and three other bishops to try to heal a 20-year-old rift that began when they were thrown out of the Church for being ordained without the permission of Pope John Paul II.
VOA: standard.2009.03.12
There we see in Book II Aristotle offering his criticism of the claims for the sort of excessive unification of centralization concentration of property.
我们在第,II,册中看到,亚里士多德提出了这个评论,针对过度要求,集中一致性,集中财产的主张。
Now I could go through again and do exactly the same thing for Player II, but I'm not going to do that because everything's symmetric.
如果我照此计算同理可得参与人II的,我就不算了,因为都是对称的
And the strategies above 2 were never a best response for Player II.
大于2的也不是参与人II的最佳对策
And all these strategies for Player II are gone, and all these strategies for Player II are gone, and what's left? A lot of scribble is left.What's left?
参与人II的这些策略被剔除了,参与人II的这些策略也被剔除了,划掉的都剔除后,最后剩什么了
So we're throwing away all of the strategies less than 5/4 for Player I and bigger than 6/4 for Player I, which is 1? for Player I and similarly for Player II.
这样我们又剔除了,参与人小于5/4大于6/4的策略,参与人I只有1?的区间,同理可证参与人II
I found out what Player I's best response was for every possible choice of Player II, and I found out what Player II's best response was for every possible strategy of Player I.
我发现了参与人I的最佳对策,取决于参与人II的可选策略,同时也发现,参与人II的最佳对策,取决于参与人I的可选策略
We didn't really pause to talk much about this ? but in Book II you remember he criticizes at considerable length Plato's Republic for the excessive unity it demands of its citizens.
太多这方面的论述,但在第,II,册,记得吗,他花了相当篇幅,评论柏拉图的《理想国》,因为后者对其公民。
For instance, if Player II picks left then Player I wants to pick bottom, but if Player II picks center, Player I wants to pick center.
例如,参与者II选择左,参与者I会选择下,但是若参与者II选择中,参与者I会选择中
What is Player I's best response for each possible choice S2 of Player II?
每个s2下参与人I的最佳对策是什么
Okay, so I'm going to draw for the case, I'm going to draw the best response of Player I and I'm going to draw the best response for Player II in a minute, for the case B equals 1/4.
好的,我们要画这个案例的图像,我要在图中画出参与人I的最佳对策,一会还要画出参与人II的最佳对策,在这里B等于1/4
Similarly, for Player II, the lowest Player I could ever do, is choose 0, in which case Player II would want to choose 1, so the strategies below 1 are never a best response for Player II.
同理,参与人I最低只能选0,此时参与人II应该会选1,小于1的策略不是参与人I的最佳对策
Player II's payoff, from the same choices, top for Player I, center for Player II, again we go along the top row and the center column, but this time we choose Player II's payoff, which is the second payoff, so it's 3.
在这种情况下参与人II的收益,即参与人I 选上参与人II选中时,注意下是上行和中列,但是现在我们要找参与人II的收益,也就是第二个收益,即3
I've deleted all the strategies that were best, that are never best responses for Player I and all the strategies that are never best responses for Player II, and what I've got left is that little box.
我剔除了所有策略,所有非参与人I最佳对策的策略,还有非参与人II最佳对策的策略,最后只剩下了这个小方格
So here what we did before was we drew these graphs with probabilities, with beliefs of Player I and the problem here is, previously we had a nice simple graph to draw because there were just two strategies for Player II.
我们之前画了有关概率的图像,图像是在参与人的某个信念下的,但问题是之前参与人II只有两个策略,所以我们能画出那个简单的图像
If Firm II is charging C, Then a best response for Firm 1 is to set price equal to marginal costs, and if Firm 1 is pricing at marginal cost, then conversely a best response for Firm 2 is to price at marginal cost.
如果公司2选择了C,公司1的最佳对策是,定价在边际成本,如果公司1定价在边际成本,同样的,公司2的最佳对策,也是定价在边际成本
If Player II chooses 4, then the synergy leads Player I to raise his best response all the way up to 2, but these strategies up here above 2 are never a best response for Player I. Is that right?
如果参与人II选4,协同导致,参与人I的最佳对策变成2,参与人I的那些大于2的策略,也永远不会成为最佳对策,对不对
Now we can do the same for Player II, we can draw Player II's best response as it depends on the choices of Player I, but rather than go through any math, I already know what that line's going to look like.
同理也可以画出参与人II的图像,参与人II的最佳对策,取决于参与人I的策略,不用任何数学的方法,我就知道图像是什么样的了
Okay, now I found out what PlayerIi's best response is to Player II, and what Player II's best response is to Player I for each possible choice of Player II up here, and for each possible choice of Player I down there.
好了,我们已经找到了参与人I,和参与人II互相的最佳对策了,这些是在参与人II有上面的可能策略,同时参与人I有下面的可能策略情况下
So this the best response for Player II for every possible choice of Player I, and just to make sure we understand it, what this blue line tells me is you give me an S1, an effort level of Player I, I read up to the blue line and go across and that tells me Player II's best response.
这就是在任意参与人I的可选策略下,参与人II的最佳对策,为了让大家都明白,这条蓝色线表示给定一个S1,即参与人I的付出,通过查找蓝色的线,可以得出参与人II的最佳对策
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