And they said, suppose we know we're going to be paired together, I'll choose Beta if you choose Beta. Would that work?
他俩这么商量的,咱俩会被分到一组,你要是选β我也选β,这会成功吗
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
But if we have credit markets, then people can individually choose to be off the production possibility frontier and at a higher level of consumption than otherwise would.
但如果存在信贷市场,那么个人可以选择超越,PPF曲线的范围,达到比没有信贷市场时更高的消费水平
On the other hand, we've seen n that if the size of a is n, that's to say, we have n elements to choose from, then the number of possible subsets is 2 to the n.
另一方面,我们看到,如果a集合的大小是,也就是说我们有n个元素可供选择,而可能的子集的元素,个数就是2的n次方。
Suppose I reason and say if we, me and my pair, both reason this way and choose Alpha then we'll both get 0.
假如我和我队友都这么想,如果我们都选α我们得到0单位效用
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 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
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
So the easy ones are on the diagonal: you both get B- if we both choose Alpha; we both get B+ if we both choose Beta.
这样就更直观了,如果我们都选α的话得B-,如果我们都选β的话得B+
And what about if we both choose 2?
如果两人都选了立场2呢
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