The Ivy League is a resource shared by both the commons and the elites. The belief stated at the end of my comment, that collective action taken to make Harvard more inclusive will inevitably strip it and all the other Ivy League schools of its vitality, will spoil that resource, forcing the elites to stop sending their kids there and snuffing the Ivy League's social ladder aspect out of existence.
That's a classic case of a tragedy of the commons. It's both a tragedy, in that nobody wanted that outcome, and it's driven by the collective action of the commons.
I thought you had some interesting economic point to make about these kinds of situations. So instead let me make one of my own. Economics isn't physics, it's broadly applicable to any kind of situation you think to apply it to. Any time you have a situation where you'd want to say, "this is why we can't have nice things," you're looking at a tragedy of the commons.