The problem with this particular solution is that most companies will have the same minimum wage, roughly, so they will have the same CEO wage, regardless of the size of the company. A bad executive at GE can cost tens of thousands of jobs, and billions of dollars of investor money. Who would want that responsibility when they could get the same compensation running a company 1/100th the size?
The other aspect of CEO compensation is that people who become CEOs are generally people who are already spectacularly successful at their current job. People who want to control CEO compensation want the CEO to take on all the risk, if the company fails to perform, he doesn’t get paid. Who would take on that risk when they have a solid job that they are kicking the crap out of already? Hmmm… I can keep my $2m/yr job that I know I can handle and keep making $2m/yr indefinitely, or I can take a risk on this new company where I might make $5m or I might make $200k and go bankrupt instead.