I could do the same thing for Player 2 to find Player 2's best response for every possible choice of Player 1.

同理对于参与人2来说,可以算出参与人1不同策略的最佳对策

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Good, so what I have here is an equation that tells me Player 1's best response for each possible choice of Player 2.

这个方程表示,参与人2不同策略下参与人1的最佳对策

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So here is the best response of Firm 1 to each possible choice of Firm 2.

这是公司2每种策略下公司1的最佳对策

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So what we're going to do is we're going to figure out Player 1's best response quantity to each possible choice of Player 2, and then we're going to flip it around and figure out Player 2's best response quantity to each possible choice of Player 1, and then we're going to see where those coincide, where they cross.

下面我们就需要表示出,参与人1对于2不同产量下的最佳产量,然后反过来写出,在参与人1的不同产量下,参与人2的最佳产量,然后再来看看这两者在哪里相交

耶鲁公开课 - 博弈论课程节选

So, in particular, I want to figure out what is Player I's best response to each possible choice of Player II?

下面,我想知道怎样计算,参与人I,在参与人II每个策略下的最佳对策呢

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So for each possible choice of S2, I'm going to draw Player I's best response and we'll do it in red.

对于任意定义域内的S2,我用红色来表示参与人I的最佳对策

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What is Player I's best response for each possible choice S2 of Player II?

每个s2下参与人I的最佳对策是什么

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So what I need to do then is I need to figure out what is Player 1's best response for each possible choice q2 of Player 2.

所以我们要先找出,在参与人2的每个可选策略q2下,参与人1的最佳产量

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I found out what Player I's best response was for every possible choice of Player II, and I found out what Player II's best response was for every possible strategy of Player I.

我发现了参与人I的最佳对策,取决于参与人II的可选策略,同时也发现,参与人II的最佳对策,取决于参与人I的可选策略

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I know that Player 2's best response for every possible choice of Player 1, which if we had done it would be q2 hat is going to a -c over 2b--q1 over 2, right?

参与人1不同策略下参与人2的最佳对策,即q2帽等于/2b - q1/2

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Okay, now I found out what PlayerIi's best response is to Player II, and what Player II's best response is to Player I for each possible choice of Player II up here, and for each possible choice of Player I down there.

好了,我们已经找到了参与人I,和参与人II互相的最佳对策了,这些是在参与人II有上面的可能策略,同时参与人I有下面的可能策略情况下

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So this the best response for Player II for every possible choice of Player I, and just to make sure we understand it, what this blue line tells me is you give me an S1, an effort level of Player I, I read up to the blue line and go across and that tells me Player II's best response.

这就是在任意参与人I的可选策略下,参与人II的最佳对策,为了让大家都明白,这条蓝色线表示给定一个S1,即参与人I的付出,通过查找蓝色的线,可以得出参与人II的最佳对策

耶鲁公开课 - 博弈论课程节选