Nah, the tragedy of the commons describes more specific things. Like catching all the tuna until they are extinct. This is more game theory. Pretty simple game theory, but still information/coordination related game theory.
Except there's no "shared limited resource" in this case. Just an overvalued social network.
The "shared limited resource" is the pool of buyers.
What pool of buyers?
The people who would be interested in buying FB shares.