So is that enough to get these poor sentient baked goods to agree to cooperate?

So is that enough to get these poor sentient baked goods to agree to cooperate?To figure that out,
we have to factor in another consideration:the gingerbread men probably care about the future
less than they care about the present.In other words, they might discount
how much they care about their future limbs by some number,which we’ll call delta.
This is similar to the idea of inflation eroding the value of money.
If delta is one half,on day one they care about day 2 limbs half as much as day 1 limbs,
day 3 limbs 1 quarter as much as day 1 limbs, and so on.
A delta of 0 means that they don’t care about their future limbs at all,
so they’ll repeat their initial choice of mutual sacrifice endlessly.