That's an interesting technical problem. PID controllers answer a similar problem in control theory. I don't have the answer here, and I'm not certain there is one. It really depends on how many more cops we'd need to get to a state where enforcement can be rigorous, and whether we as a society prefer the tradeoff of paying for those enforcers to get safer roads. Tough question. But I like tricky questions aimed in a true direction better than easy, wrong answers like, "ticketing people has no effect on speeding."

If people were to stop speeding, perhaps there'd emerge a culture in which speeding is considered bad, reducing the need for traffic cops.

As soon as you stopped enforcing, people would speed again.

In cultures where e.g. drunk driving is considered an awful thing to do, people mostly self-regulate - there's some policing necessary, but it's not like the police are trying to stop something everyone wants to do. There's no reason it would be impossible to create a culture in which speeding is treated similarly.

There's quite a few countries in which people avoid speeding, even when there's no cameras around.

Aggressive enforcement isn't how you do that. And it's a lot harder to do it with speeding than drunk driving because it actually is a lot more dangerous to drive drunk than to drive the 85th percentile traffic speed even though the speed limit is set 10MPH lower than that.

In most of the existing places with a culture of respect for the speed limit, they have a higher speed limit.