I'm hoping everyone is used to seeing the term max.

我希望大家都习惯地使用最大化一词
As I solve the maximization problem,

解最大化问题时如果其他人选了S-i
how do I maximize my payoff given that other people are choosing S-i?

我如何最大化自己的收益呢
Again, for the math phobics in the room, don't panic,

在座的有数学恐惧症的同学不必惊慌
this is just writing down in words

这仅仅是用数学表达式来表示
what we've already seen a couple of times already today,

我们今天学到的一些知识点罢了
well today and last time.

其实是这一讲和上一讲的知识点
Let's generalize this definition a little bit,

我想让这个定义更具有普遍性
since we want it to allow for more general beliefs.

因为我想让它适用于更广义的信念中
So just rewriting, Player i's strategy, same thing,

我来写一下参与人i的策略
i is a best response.

和之前一样 ?i是最佳对策
But now let's be careful,

但请注意它是在你对其他参与人