<p>The French use a variation of the medical residency match system or admission to a number of their top engineering schools.</p>
<p>Each student provides a ranked list of the schools he/she wishes to attend. I don’t believe there is a limit.
Then applicants are ranked based on results from a common entrance examination.
Based on your rank you get assigned to your highest ranked school with spots still available.</p>
<p>Oxford and Cambridge use a still different system to allocate students among the dozens of college that constitute each university. (Each admits yearly about as many undergrads as HYP combined)</p>
<p>You can either pick a first choice or leave your choice blank in which a computer assigns you to a college. If you are not selected by your first choice, you get put back in a common pool from which all the colleges can tap.</p>
<p>These types of systems can work fairly well when the types of colleges are part of a common system and cost and financial aid is similar across schools. </p>
<p>Some variation of these systems could be implemented for the UCs for instance. There is already a common UC app. There would only be one offer of admission for a particular candidate: from his highest ranked school for which he qualifies. </p>
<p>Why not also the Ivy League, NESCAC, the Patriot League? They all use the Common App. Just provide an ordered ranking. Same thing with the colleges with all the applicants.</p>