And the idea here is that the number 4 represents 40% chance of scoring

4在这里表示进球概率是40%
if you shoot the ball to the left of the goal

前提是你从左路射门
and the goal keeper dives to the left.

而门将也扑向左路
So the payoff here is something like u1(left)

收益u1(l,L)表示门将扑向左路时
if the goal keeper dives to the left is equal to 4,

罚球者从左路进攻的收益是4
by which I mean there's a 40% chance of scoring.

也就是说球被射入球门的概率是40%
So the number for the...

对罚球者来说
The payoff for the shooter is his probability of scoring and the payoff

他的收益是进球的概率
for the goal keeper is just the negative of that.

而门将的收益是其相反数
Let's keep things simple.

我们把问题简化一下
As I said before, for now we'll ignore the possibility

正如之前所说的现在我们先不考虑
that the goal keeper could stay put.

门将可能选择留在中路的情况