First, HYP, they all do that. H and Y are traditional rivals. Have you heard H and Y are rivals and P is still irrelevant?
Second, Y is the most liberal, P is the most conservative and H is in between. H is arrogant and Y is more laid back and humble. If you visit the campus then you will see the difference.
Third, look at matriculation rates as WXC501 cited, who is more insecure?
Forth, When H revokes EA, P follows and when H reinstates EA, P follows again. Who lacks confidence? Y stood regardless. Y is confident and comfortable in whatever the place and does whatever it supposes to do. It's P that lacks confidence.
Fifth, P's admission is most strange one among HYP and at least in our region, students choose H, Y and P in order, which confirms the cross-admission matriculation.