In this drawing I'm buying the book Toleration from the author... Andrew Cohen. In reality I didn't buy it from Cohen in person... I bought his book on Amazon. Amazon made it stupid easy for Cohen and I to trade with each other.
Most people tend to think of payment as compensation. But in reality, it's actually communication. Money is one way that we communicate with each other. It's an extremely effective way to communicate because actions speak louder than words. When we give somebody a dollar, we're giving them a unit of volume. This is why in the drawing there's a megaphone near the dollars that I'm giving to Cohen.
So Amazon isn't just facilitating trades... it's facilitating communication. The more people who buy Cohen's book... the larger his megaphone...
This drawing should give you an idea why J.K. Rowling's megaphone is larger than Cohen's megaphone.
Now let's take a look at the economics of education...
Any given elementary/middle/high school consists of parents (consumers), producers (teachers) and an intermediary (principal). Each parent gives the same amount of money to the school... and the school gives the same amount of money to each of its teachers. This means that every teacher has the same size megaphone.
The problem with this system is that not all teachers are equally effective. As you can see in the diagram, they don't all produce the same amount of value for parents. They aren't all Jaime Escalante.
The solution is to unbundle teachers...
This diagram isn't as pretty but you should get the idea that more dollars/volume would be given to the teachers who produce more value. The best teachers would have significantly larger megaphones than the worst teachers.
Can you guess which system a terrible teacher would prefer? The many-one-many system? Or the many-many system? Would terrible teachers prefer it if teachers were "sold" in a bundle or "sold" individually?
These diagrams also clearly show us why school vouchers really aren't that effective.
With the many-one-many system a school is one product within a market. But with the many-many system a school becomes a market with many products. Each school would become a market within a market. Schools would facilitate trades between consumers (parents) and teachers (producers). This means that schools would facilitate communication between parents and teachers.
We can also think of a many-one-many system as monolithic and a many-many system as modular. The benefit of a modular system is that you don't have to throw the baby out with the bath water. For example, if your computer monitor breaks then you simply replace your monitor. You're not forced to replace fully functional components. You just replace an inferior (broken) component with a superior component. This is why modular systems facilitate marginal improvements.
Let's get back to J.K. Rowling. It should be pretty straightforward that her megaphone wouldn't be as large as it is if she could only trade with people in the UK. Would it make sense to limit literary exchanges by geography? Nope. So we really wouldn't want to limit educational exchanges by geography either. Parents in America should be able to trade with teachers in the UK. This probably doesn't mean that they'd send their kids to the UK. It just means that exceptional UK teachers would have megaphones that were large enough for their voices to reach America. Which is easy enough to accomplish with live video feeds.
While the actual logistics are kind of fun to try and work out... the important part to understand is that we can greatly improve education by facilitating trading/communication between teachers and parents. Let's make it stupid easy for parents to give the best teachers, wherever they are, the largest megaphones.