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So the cluster I chose is the LA cluster,
所以说我选的就是洛杉矶集体课，
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So if that was the reason they were included in the ancient world,it's not the reason they're still in now, because modern scholars don't believe the apostles actually wrote all of these texts in the New Testament.
如果那就是它们在古代被选上的原因,它不是现代人所认为的原因，因为现代学者认为,新约里的书并非全为使徒所写。
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Such a person might pick a point up here and that would be a portfolio with--a leveraged portfolio.
那样的人可能会在这里选一个点来投资,那就是一个有。。。这是个杠杆投资组合。
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So not only was he choosing a position close to the Conservatives: he was choosing exactly their position.
他不只是选了一个临近保守派的立场,他选的就是一个保守派的立场
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putting all those things together, if you looked at this question again we'd get 100% on it, 0 9 that our only option here is 0. 9, and that it's not the negative, it's the positive version, because we're talking about how much energy we have to put into the system in order to eject an electron.
把这些放在一起，你们再看一下题目,大家100%都能选对，我们唯一的选择就是这个，它不是负数，它是正的，因为我们说的，是要,把电子激发出来,需要提供的能量。
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So, it makes a binary decision, either I create an action potential or I don't, but that decision could be based on many inputs, not just on input from one cell.
所以 这里产生一个二选一的决策,就是产生动作电位亦或不产生,不过这个决定可能是,根据很多输入信号做出的,而不是仅凭单个细胞所传来的信号
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There was a paper that I wrote with a colleague in globalization and health, and this quote that I--that I'll show you is from that and I'll read it in case it's a little hard to see.
这篇论文是我和一位,研究全球化和健康的同事一起写的,它引用了,我给你们看的就是选自其中,我会给你们念,它不太容易看到
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Agamemnon has been chosen as the generalissimo and that is what gives him, temporarily, the title of wanax.
阿伽门农被选为临时大元帅,这就是某种意义上的王
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Say it again: if everyone chose 1, then everyone's best response would be to choose 1, so that would be a Nash Equilibrium.
重复一下,如果每个人都选了1,那么每个人的最佳对策也就是1,这就会成为纳什均衡
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We'll try to make sure everybody's schedule is accommodated, and you'll either meet on Thursdays or Fridays, in discussion sections,and we'll organize those sections closer to the end of the shopping period, when we have a better idea who will be in here.
我们会尽量选大家都有空的时段，不是周四就是周五，这些讨论环节,会在选课周临近结束前决定，这样我们可以知道谁选了这门课。
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If the invader chooses the hard pass he will lose one battalion of his army simply in getting over the mountains, simply in going through the hard pass.
如果侵略者选择崎岖的路,仅在穿越阿尔卑斯山的途中,他就要损失一个营的兵力,这就是选崎岖之路的代价
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If you selected the cells right than the only ones that have that resistance to Ampicillin are the ones that successfully got your plasmid and are using this Ampicillin resistant gene.
如果你选对了细胞,那么对氨苄青霉素有抗性的就是,成功得到了质粒并表达了基因的细胞
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That's the highest line and that line corresponds to me choosing Up.
也就是最高的那条线,即表示我选上的收益那条线
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So this isn't so hard, we know that if I choose Up and there's probability 0 that the other guy is going to choose Right, that's the same as saying I choose Up and the other guy chooses, let's try it again.
这不是很难得,我们知道如果我选上的话,我对手选右的概率就是0,也就是说我选上,我对手会选择,我说错了,重新来
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So certainly part of the problem here, with the reasoning I just gave you-- the reasoning that said I should choose Beta, because if we both reason the same way, we both do better that way-- involves some kind of magical reasoning.
那么说问题就出在了这里,就是之前我们说应该选β的问题,如果我们要都这么想,确实得到更好成绩,但这是有前提的
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Good, so even if everyone in the number-- everyone in the room didn't choose randomly but they all chose a 100, a very unlikely circumstance, but even if everyone had chosen 100, the highest, the average, sorry, the highest two-thirds of the average could possibly be is 66 2/3, hence 67 would be a pretty good choice in that case.
好的,如果每个人,教室里的每个人不是随机选择数字,而是全选了100,这好像不太可能,但如果每个人真的都选了100,就是最大的书,那平均数,抱歉,平均数的2/3会是66又2/3,此情况下67应该是个不错的选项
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I think maybe the best option is to take both if you're really interested in the subject matter.
如果你真的对金融很感兴趣的话,我觉得最明智的选择就是都选
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The payoff from choosing 3 against 3, is of course 50%, so, so far so good.
双方都选立场3的收益,就是各得到50%,握手言和
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So that's here, and if I knew they were choosing Right for sure, that's the probability of 1 that they're choosing Right, and if I choose Middle I get 4, that's here.
对应的是这个点,如果说对手肯定选右,即他们选右的概率是1,此时我选中的收益是4,就是这个点
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It's my belief that the other guy's going to choose Right.
也就是我关于对手选右概率的信念
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The payoff from choosing 3 against 4 is going to be all the people at 1, all the people at 2, and all the people at 3, for a total of 30%, which again is bigger.
当对手选4我选3的收益,就是立场1的选票,加上立场2和立场3的选票,一共是30%,立场3收益更多
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We played a game at the very end last time, where each of you chose a number - all of you chose a number - and we said the winner was going to be the person who gets closest to two-thirds of the average in the class.
我们在上节课最后做了一个游戏,你们每个人都选了一个数字,你们所有的人都选择了一个数字,选择的数字最接近全班,平均数的三分之二的人就是赢家
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So here's the straight line, and this line is the expected payoff to Player I from choosing Down as it depends on the probability that the other person chooses Right, and then once again, we can write down the equation.
这就是第三条直线了,它表示参与人I选择下获得的收益,是另一个参与人,选右概率的一个函数,对于这一条直线,我们依然能够给出方程式
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So to say it in words, Player i's strategy "s'i" is strictly dominated by her strategy "si," if "si" always does strictly better -- always yields a higher payoff for Player i -- no matter what the other people do.
用文字来描述就是,参与人i的策略s'i严格劣于si,如果si总是更好的选择,即总能给参与人i带来更高的收益,而无论其他参与人怎么选
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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
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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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