<p>I believe, of all of the schools listed NYU is the best in econ, although looking at the rankings now NYU is tied with UMich at #12. </p>
<p>Michigan is the best at CS. </p>
<p>As far as music goes, NYU is (likely) the best of the three, since it is quite famous for the arts. Music is a major within CAS, but performing music is actually in Steinhardt. You have to audition for admission into Steinhardt and you can double major in CAS.</p>