Oops, sorry, I think I calculated wrongly. Math was never my strength. Correct me if I'm getting this wrong:

the elected officeholder would get a "kickback" of not 1%, not 0.1%, but 0.01% (or 1/10,000th) of the total amount he is able to cut from his budget in a year.

So, if the POTUS were to save $100 billion from the US federal budget, that year he'd get a personal salary bonus of $10 million that would go in his pocket, for having saved the nation from that amount of spending. A nice incentive to spend less public money!

Maybe the bonus should be more or less than what I'm proposing, I don't know. The point is to try to find some way to encourage our elected officials to spend less, not more.