So what do we have to do check whether this is an equilibrium or not?

我们有必要一定要检查这是不是个均衡吗
We have to mimic the argument we had before.

我们得把争论最小化
We have to compare the temptation to defect today and

我们得比较这一次的诱惑的值
compare that with the value of the reward to cooperating

与合作的奖励的收益
and the value of the punishment from defecting tomorrow.

减去背叛收益的值
So this basic idea is going to re-emerge.

这些基本的思想还得再出现
Having said that, let me now delete it so I have some room.

都这么说了我得删掉这些腾出些空间
To show this is an equilibrium,

为了证明这是一个均衡
we need to show that the temptation to defect--

我们得知道背叛的诱惑
the temptation to cheat in the short term--

在短期背叛的诱惑
is outweighed by the difference between the value of the reward

要比奖励的值减去惩罚的值
and the value of the punishment.

相对要小