Construction contractors working on the cutting edge of technology nearly always work on a “cost-plus” basis only.
Given that ...
Method 1 (contractor gets paid a fixed % of costs) would lead to higher profits for the contractor the higher the costs, whereas Method 2 (contractors gets paid fixed amount on top of costs) would not.
Why is it that ...
It's more likely that final costs exceed initial estimates with Method 2 more than with Method 1.
Evaluate
Since % of costs gives contractors an incentive to add more costs, we would think that they might initially estimate a job would cost $2000 (and their 20% fee would be $400), but then later they'd tell the client, .
But instead, it's more likely that a contractor who is going to be paid $500 on top of costs, whatever the costs, will initially estimate $2000 and later tell the client the costs will be more like $3000.
Goal
We need some difference between these two types of payment plans (what sort of jobs they're used on / what sort of people use them / what sort of clients agree to them) that allows us to explain why the final cost is higher than the estimate more often for the fixed-amount method, than for the fixed-percentage method.