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
oh I chose Up because I thought the other guy was going to choose Left."
哦,我选上是因为,我认为对手会选左
They don't understand that somebody could choose what you chose in a malicious way.
他们并不理解,有些人可以心怀恶意去做事情
okay I chose Middle because I believed that the other guy was going to choose Right and Middle was the best thing for me to do against Right."
我选中是因为,我认为另一个人会选右,并且选中是右的最佳策略
Okay, so you chose Alpha right? So why did you choose Alpha?
你选了α对吧,你为什么要选α呢
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
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
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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