[ByronT]

Here's an interesting social networking concept: the mixture of real names with anonymity. Your name would appear if you "liked" something, but dislikes would be anonymous. You could also have the option to post comments anonymously. Of course, bullying and drama would certainly be more prevalent, but nonetheless, it'd be an interesting experiment. (I also think people would be less afraid to speak their mind when a friend posts something incredibly stupid.)

[willismichael]

To continue your thought experiment, I imagine that if it allowed plugins or extensions of some sort (like facebook apps), somebody would inevitably write a machine learning algorithm that attempts to deduce who (out of a given set of people) wrote an anonymous comment.