I think you've described what we already have. The difference being that the best teachers choose where they want to be based on something other than salary. Quality of living, quality of kids/families attending, appointment to desired duties (coaching, dept head) etc.
Point being that the reasons you cite for not making education private already exist: poorer kids already have lower quality education - unless a way is found to send them to a better school. Talent may not be spotted at the lower end now too, so you get inefficiencies in potential today too.
But a capitalist system maximizes quality. That's why capitalism produces all the best.
Arguing that privatizing education may result in the same problems we already have today - while omitting capitalism's obvious advantages - isn't cogent. jmho
Salary is as important to teachers as any other profession. NYC has been poaching teachers from Texas and other low salary states for years. They'll actually find young teachers and set them up in apartments in NYC. If you're under thirty with a graduate degree and a couple years experience, then it's a good deal.
Capitalism maximizes quality within a very narrow band at the top. Again, it's a get what you pay for world. You expect quality of any product to coincide with price. Low price equals low quality. Education is no different.
"Point being that the reasons you cite for not making education private already exist: poorer kids already have lower quality education - unless a way is found to send them to a better school. Talent may not be spotted at the lower end now too, so you get inefficiencies in potential today too."
Exactly right...which is why a woman was arrested this week for lying about her residence so she could send her child to a different school district.
People lie about their residence all the time.