So, by putting ourselves in Hannibal's shoes, we could figure out that his hard attack strategy was weakly dominated.
那么我们从汉尼拔的角度来考虑一下,我们发现崎岖之途是弱劣势策略
So these strategies -- let's be careful here with the word weakly here -- these strategies are not weakly dominated in the original game.
所以这些策略,对于这里的弱一词,我们要谨慎对待,这些策略在原博弈中并不是弱劣势的
I love Lisp, but Lisp is certainly in the category of a very weakly typed language.
我爱Lisp,但是Lisp当然,是属于在类型检查比较弱的语言一类。
But they are dominated they're weakly dominated once we delete 68 through 100.
可是一旦我们排除掉了68至100的数,他们就成为了劣势的策略,即弱劣势策略
Now since we think that Hannibal, the attacker, is not going to play a weakly dominated strategy, we think Hannibal is not going to choose the hard pass.
好了,既然我们认为入侵者汉尼拔,不会选择弱劣势策略,我们认为汉尼拔不会选择崎岖之途
Just as we said you should never choose a strictly dominated strategy, you're probably never going to choose a weakly dominated strategy either, but it's a little more subtle.
我们说过,不要采用严格劣势策略,你也不应该采用弱劣势策略,不过这个更严密一些罢了
It is the case -- to introduce some jargon -- it is the case that the easy pass for the attacker, weakly dominates the hard pass for the attacker.
对入侵者来说,我们再词引入术语,对入侵者而言,平坦之途,弱优于崎岖之途
Actually, they're only weakly dominated but that's okay, they're certainly dominated.
实际上只是弱劣势,但这么说也对,他们当然是劣势的
What do I mean by weakly dominate?
我所说的弱优于是什么意思
So now we've ruled out the possibility that anyone's going to choose a strategy 68 and above because they're weakly dominated, and we've ruled out the possibility that anyone's going to choose a strategy between 46 and 67, because those strategies are dominated, once we've ruled out the dominated strategies.
现在因为选择68,及以上的数的策略是弱劣势策略,所以我们已经把它们剔除了,并且我们也排除了有人会,选择46至67之间的数的可能,因为一旦我们剔除原博弈的劣势策略,这些策略也就变成劣势策略了
We know from last time that you should not choose a dominated strategy, and we also know we probably aren't going to choose a weakly dominated strategy, and we also know that you should put yourself in other people's shoes and figure out that they're not going to play strongly or strictly or weakly dominated strategies.
上节课我们学到了,不要采用劣势策略,然后今天我们学到了,我们有时可能不会选择弱劣势策略,我们还学会了站在别人立场上思考,然后推测出他们不会选择,严格劣势策略或弱劣势则略
I'll say it again, Player i's strategy "s'i" is weakly dominated by her strategy "si" if she always does at least as well by choosing "si" than choosing "s'i" regardless of what everyone else does, and sometimes she does strictly better.
重申一下,参与者i的策略s'i,弱劣于策略si,当且仅当无论对手怎么做,她选择si的收益至少与选s'i的相等,有些情况下甚至是严格占优的
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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