I'm not sure I see how this is a fallacy. Can you explain even anecdotally?
I just googled "Fixed pie fallacy" - I was assuming (probably wrongly) that most people were familiar with it. I'm not even certain Friedman was the first to identify it.
The first thing I come up with on Google is [1]. It's a decent overview.
[1] http://mjperry.blogspot.com/2006/12/fixed-pie-fallacy.html
Otherwise why would there be exceptional demand (and price) for harvard?
Not everybody needs to go to an Ivy League, just like not everybody needs to own a 75-ft yacht.
I'm OK with that.