The first one is Dr. Marvin Chun who teaches the Introduction to Psychology course in the fall and is my competition.
第一名是马文·春博士,他会在秋季教授心理学导论课程,也是我的竞争对手
Let's just check. If my pair chooses Alpha, then my choosing Alpha yields 0, Beta -3: so Alpha would be better.
我们来验证下,如果我对手选α,我选α得0,选β得-3,所以选α更好
If you have a product and your competitor has a product and you put sugar in yours, people are going to like it better.
如果你和你的竞争对手同样生产一批食品,而你的加糖了,人们会更喜欢你的产品
They start getting into the Mediterranean and that scares the hell out of their commercial rivals.
他们开始进入了地中海地区,而这一举动把他们的竞争对手也吓得够呛
They pay you money, we had a lot of very famous, very prominent customers, but all of a sudden, we started to compete with every one of them. It's quite risky.
他们付你钱,那时我们有许多有名的,重量级的客户,但突然间,客户变成了对手,这么做风险很大。
Shelly Kagan Since there's no competitor,and I've got the personality,I'm Shelly Kagan.
既然没有竞争对手,我具有正确人格,我就是。
Why? Because no matter how the other firm, your competitor, prices you might have an incentive to undercut them.
为什么,因为不管你对手怎么定价,你总有想削弱他们的动机
I get all the voters right on top of me at position 1 and she gets everyone else, is that right?
我得到选择立场1的10%选票,对手得到剩余90%的选票,对吗
The payoff of 2 against 3 is all the people at 1, all the people at 2, so it's 20%.
如果对手选3而我选2我会得到,立场1和2的全部选票,一共20%
If my opponent chooses Beta and I choose Alpha, I get 3; Beta, I get 1. Once again Alpha is better.
如果我对手选β,我选α我得3,选β我得1,也是选α好
If my opponent chooses Alpha and I choose Alpha, I get 0; Beta, I get -1. So Alpha would be better.
如果我对手选α我选α,我得0,选β我得-1,选α更好
Against 3: so now we're comparing my choosing 1 versus 3 and my choosing 2 versus 3.
对手选立场3,现在来计算我选立场1对手选立场3,或者我选立场2对手选立场3的情况
And we've already agreed that if I think it's equally likely they're going to choose right and left, that there's a probability ?
而且我们已经计算过了,如果我觉得对手,选左选右的概率相同,即他们选右的概率为1/2时
Conversely, if there was probability 1 that the other guy is going to choose Right, and I choose Up, then I get 0.
相反,如果对手,选择右的概率为1,并且我选的是上,那我的收益为零
If the pair chooses Beta, then if she chooses Alpha she gets 3, Beta she gets 1, and 3 is bigger than 1.
如果她对手选β,她选α得到3,她选β得到1,3也比1大
And we know that Down does best if I think it was equally likely that the person was going to choose Left and Right.
我们还知道如果我们认为对手,选左或者是右的可能性相同的情况下,下是此情况下最好的策略
So 2 against 1 gives me 90% of the votes, 3 against 1 gives me what?
我选立场2他选1,我得90%选票,要是我选立场3对手选1呢
What's my share of the vote if I choose 2 and the other candidate chooses 1?
如果我选立场2,而对手选立场1呢
That's illegible, but what it says is rational and knowledge that other people are rational.
这也是有点拗口,但他的意思就是,理性的你知道呢的对手也是理性的
Both firms have an incentive to undercut the other firm, driving down profits for both.
每个企业都有削弱对手的动机,最后他们的利润都下降了
I believe the other guy is going to choose Left, I can rationalize choosing Up.
我认为对手应该会选左,这样我认为选上是合理的
Yeah, okay while we're here, why don't we do the same for my pair?
好了,我们再把对手的情况也写下来
So what's my payoff if I choose 1 and my opponent chooses 2?
我选立场1对手选立场2我收益是什么
We mean that if these are your payoffs, no matter what your pair does, you attain a higher payoff from choosing Alpha, than you do from choosing Beta.
我们说如果这是你的收益,那么不论你的对手选什么,你选择α总会比选择β,得到更好的收益
Well now I need to be rational, I need to know that other people are rational, and I need to know that other people know that other people are rational.
我自己已经是理性的了,我也知道对手也是理性的,我还需要知道对手们明白,他们的对手也是理性的
What about my expected payoff from choosing Middle against , so in this case where I think it's equally likely that my opponents going to choose Left or Right?
那我在情况下,选中的预期收益是什么呢,在此情况下我依然认为,对手选左选右的可能性相同
But look at my opponent. My opponent's Alpha dominates her Beta.
但是对我的对手来说,选α优于β
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
So, in particular, let's start working out what share of the votes you'd get if you chose position 1 or position 2, against different positions the other guy can choose.
先来看看如果你选择立场1和2,在你对手选择不同立场时,你分别能获得多少选票
The assumption that your opponents are being rational as well.
你需要假设你对手也是理性的
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