Except – newsflash! – Stanford has been regarded as equivalent (and in the eyes of many superior) to HYP for at least the past 15-20 years. Yale used to be the only college that won any significant percentage of head-to-head admissions decisions vs. Harvard, but it wouldn’t surprise me at all if Stanford hadn’t pulled ahead of Yale in that regard. On the anecdotal evidence around here (East Coast, traditionally very Ivy League oriented), Stanford wins at least 50% of the head-to-heads.
So it’s really a foursome . . . and that’s being kind to Yale and Princeton (notwithstanding USNWR’s longstanding preference for Princeton).