I had an idea similar to this. You look at where the statistical performance cliff is. Are the 90-th percentile students that much worse than 99-th percentile?

I had an idea similar to this. You look at where the statistical performance cliff is. Are the 90-th percentile students that much worse than 99-th percentile? After a certain level, it's a lottery. It's already the case where the vast majority of students applying to these schools have near perfect scores, so a lottery makes it fair.