So Alpha does better. But if my pair chooses Beta, then Alpha gets me -1; Beta gets me 1.
此时选α较好,但是如果我对手选β,我选α得-1,选β得1
You feel desperate because you know that if you crash into these five workers, they will all die.
你此时极度绝望,因为你深知,如果电车撞向那五名工人,他们全都会死。
Ask yourself, how would you feel if you discovered now that you have been living your life ? hooked up to an experience machine?
问问你自己,你会有何感受,如果你发现此时此刻,你的人生,一直都是在体验机器上度过?
So if the other person's choosing Right with probability 0, that's the same as saying they're going to choose Left, and if I chose Middle against Left, I get what?
如果对手选右的概率是0,也就是说对手选左,此时我选中的收益是什么
They go back to this formula. If you sold it after five years, then there are twenty-five years left, so 25 x 12 is the number of months left; they plug that into this formula.
如果五年后卖掉房子,他们又搬出公式,此时剩余期限是20五年,所以剩余月份数是25乘以12,把月份数代入这个公式
If I had a competition where I'd give $100,000 to the person who looks the most as if they are in pain, it is a very good tactic to take a pen and jam it into your groin because you will look extremely persuasively as if you are in pain.
如果我在这里举行一个竞赛,谁最能将痛苦表演的和真的一样,谁就能拿到10万美元,那么最好用的一招莫过于拿根笔,狠狠地戳进你的腹股沟,因为此时的你看上去真的,足以使他人相信你非常痛苦。
That's because, at the end, if- -suppose you're one month or two months away from the payoff of the mortgage, you don't have any balance left, so the interest that you're paying is -hardly any balance left--is very low and so you're payment is paying off principal, mostly.
这是因为,在最后,如果,假设你还剩1到2个月,就可以还清抵押贷款,那么剩下的贷款余额就很少了,因此你所需要付的利息,将会非常少,因为贷款余额几乎为零,此时你偿还的就主要是本金
If I shoot to the left and there's no probability of the goalie diving to the right, which means that they dive to the left, then my payoff is 4, meaning I score 40% of the time.
如果我从左路射门,而门将不会去扑向右路,也就是说他会扑向左路,此时我的收益是4,也就是说我进球的概率是40%
So the thing that I hope jumps out at you from this picture is no great guesses about figuring out this is a ?, so if the probability that the goalie's going to jump to the right is less than a ?, then the best you can do is represented by this green line, which is shoot to the right.
我希望大家都能从图中看出来,得出这一点的横坐标是?不难,如果门将扑向右路的概率,小于?的时候,此时你的最佳策略用这段绿线表示,即你应该从右路射门
Conversely, if you think the goalie's going to shoot to the right with probability more than a ?, then the best you can do is represented by the pink line, and that's shooting to the left, or if you think the goalie's going to dive to the right with the probability more than a ?, the best you can do, your best response is to shoot to the left.
相反如果你认为门将扑向右侧的概率,大于?的情况下,此时你最佳策略用粉线表示,即从左路射门,也就是说如果你觉得门将扑向右路的,概率大于?的话,你最好选择从左路射门
If these are facts about how Peggy Sue likes to kiss and tell, or then goes around and talks about who's a good kisser and who's a bad kisser, maybe that gives you a reason to not continue what you're doing.
如果这些是关于Peggy,Sue如何喜欢接吻并告诉,或者然后到处去谈论谁是接吻高手,谁接吻很烂的事实的话,也许那就给了你一个不再继续你此时行为的理由。
So strategy ?i is a best response to the strategy S-i of the other players if my payoff from choosing ?i against S-i, is weakly bigger than that from choosing Si' against S- i, and this better hold for all possible other strategies I could choose.
策略?i是其他参与人策略S-i的,最佳对策,如果此时我选?i的收益,弱优于此情况下选Si'的收益,这对于所有我可以选择的策略都成立
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