Related to post: Etiquette for answering your own question
As far as I can tell, Stack Overflow is semantically both of a) a place to share information and b) a nerd battleground.
Users do not care about the system when they do battle. They care about their own life which is the respect they get by being awesome and careers based on their skills. They can affect this enormously by asking new questions that nobody has asked and producing answers they already know. This is legal according to the FAQ.
However, we could show some status information on HOW MUCH a user has asked and answered his own questions, as this would expose question manufacturers. For example, 0.1% would tell us that every one answer in a thousand is a self-answer.
The FAQ says:
It's also perfectly fine to ask and answer your own programming question
However FAQ does not say that information about the ratio of answers should be hidden.