My favorite "Incentives matter" story is FedEx - they were having a hell of a time getting drivers to get packages shipped on time. They tried all sorts of things - threatening, praising, performance reviews, training, etc.
None of it worked.
Then they changed their pay from "per hour" to "per shift" - you work a shift, you get paid a certain amount. Go home when you complete your shift, regardless of how long it takes you.
Right away, their on time rate went massively up - in fact, a lot of shifts started being completed early at that point.