the advantages of brown can be argued based on a preference for the open curriculum/other personally desirable attributes, objective selectivity (brown has a stronger student body by numbers and is harder to get into), or value as determined by revealed preference (the vast majority of students with this choice go to brown)
as seen here, brown is 7th in desirability in the nation while johns hopkins is 28th
http://knowledge.wharton.upenn.edu/papers/1287.pdf