with some inputs for his business, let's say some fruit.

这里就假设成水果吧
And each period he's supposed to provide me with some input for my business,

而每天他也要为我的企业提供材料
namely vegetables.

假设是蔬菜吧
Clearly there are opportunities here, in each period, for us to cheat.

显然每天我们都有相互欺骗的机会
We could cheat both on the quality of the fruit

即我可以在我提供给杰克的水果的
that I provide or the quantity of the fruit that I provide to Jake,

数量和质量上做手脚
and he can cheat on the quantity or quality of the vegetables

他也可以在他所提供给我的蔬菜的
that he provides to me.

数量上和质量上欺骗我
Our central intuition is:

我们首先能想到的是
perhaps what can give us good incentives is the idea that

我们能想到的最好的动机就是
if Jake cooperates today, then I might cooperate tomorrow,

如果今天杰克合作那么我明天也合作
I might not cheat tomorrow.

我明天也不去欺骗他