One tip about this, try to identify all the dominated strategies of all players before you delete, then delete.
这里有一个窍门,在剔除之前试着找出,所有参与人的劣势策略,然后再剔除它们
But it is the case that they're dominated once we delete the dominated strategies: once we delete 67 and above.
但一旦我们剔除了原劣势策略,即选择67及大于67的数之后,他们才是劣势策略
Okay. Having said that and pointing out the advantages and disadvantages of notation let's plunge in then to a discussion of it.
好的,既然我们已经提到,并指出了记谱法的优势和劣势,那接下来我们就来对它进行一番讨论
One of the concerns out of the gate for students in this course, particularly those we dub less comfortable is that you're already starting off at a disadvantage.
另外一个比较关心的是,还没有入门的同学,尤其是那些有点跟不上的同学,你们的学习处于劣势。
If somebody can come at him from this side, he is very vulnerable from there.
如果有人从右侧进攻,那么他将处于劣势
Because, if you did, then you would always be dominated.
如果你选了,你就总是处于劣势。
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
Once you delete the dominated strategies, then you kind of go through it again and then 2 is dominated by 3.
一旦你剔除了劣势策略,再次审视这个博弈时,立场2劣势于立场3
So Thomas said something which was true, but it doesn't quite match with the definition of a dominated strategy.
托马斯所说的是对的,但这的确劣势策略的定义不太相符
So he says that position 1, strategy 1, choosing the most extreme left wing position is a dominated strategy.
他说到立场1,也就是策略1,即选择最极端的左翼立场,是劣势策略
There are ten strategies 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, are any of the strategies dominated?
有10个策略可以选,这里有劣势策略吗
We could do that; we could try iteratively deleting dominated strategies and see if that process converged.
可以尝试迭代剔除劣势策略,然后看看会不会趋向于某种结果
That's a third of the people who seem to be choosing a dominated strategy or is it?
为什么有三分之一,会选择劣势策略呢
So if we do the procedure of iteratively deleting dominated strategies, going back again, looking what's dominated, all that's left is 5 and 6.
如果我们按照这个程序,迭代剔除劣势,不断回头看看那些策略是劣势的,最终将只剩下立场5和6
You can work through this game and you can check pretty quickly that nothing is dominated.
当你从头到尾 仔细分析过之后,你会发现这里没有劣势策略
But they are dominated once we deleted not just the dominated strategies, but also the strategies that were dominated once we deleted the dominated strategies.
但是当我们我们,剔除原博弈中的劣势策略以及,第一次剔除之后仍处于劣势的策略后,它们就又继续成为了劣势策略
The strategies that are less than 67 but bigger than 45, I think these strategies are not, they're not dominated strategies in the original game.
对于选择大于45而小于67的数,我认为他们并不是,在原博弈中并不是劣势策略
Alpha was dominant before--it dominated Beta before-- and it still dominates Beta. Let's just check.
是优势策略,β是劣势策略,在这里α依然优于β,我们来验证下
So when we looked at domination and deleted dominated strategies, we got nowhere here.
因此当我们寻找并剔除劣势策略时,我们是无从下手的
Henry. Henry. So Henry is saying sure i don't have a dominated strategy.
亨利认为我们确实没有劣势策略
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
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
Does 5 dominate 6, or 6 dominate 5, or anything like that?
在选立场5或是6二者中有劣势策略吗
Good, so for both players Snow White is a dominated strategy.
没错,《白雪公主》是劣势策略
We also saw in that numbers game last time that in some games, but by no means all games, in some games this process actually converges to a single choice.
我们同样可以发现,在某些博弈中,不是所有的博弈,迭代剔除劣势策略,最终会导致唯一的选择
One lesson was, do not play a strictly dominated strategy.
其中的一个结论是,不要采用严格劣势策略
But to be a dominated strategy we need something else.
想要成为劣势策略还要满足别的条件
Delete those. Delete those for everyone else, because everyone else is not going to play a dominated strategy.
应该剔除它们,其他人也会这么做,因为其他人也不会,采用劣势策略
So once again what this idea is this idea is you yourself should not play a dominated strategy.
所以再次强调,站在我们自己的立场上说,我们不应采用劣势策略
So with apologies to Strunk and White, this is in the passive form, that's dominated, passive voice.
斯特伦克和怀特很抱歉,我用了被动式,即劣势,被动语态
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