Has it ever been done before?
Yes.
And there's a reason there's no place in the world where there's still anarchy. Some idiot takes power and then bam no longer an anarchy. Besides, without any form of government (and law enforcement), everybody has to fend for themselves like the loving Hunger Games, and then nobody has time to make technological advancements, because they're too busy farming, getting shot, or shooting the person that just tried to shoot them.
Anarchy is not a legitimate way for an area to be run. It's a transition that happens when an area has bad government and people want a better one. They tear down the existing one, live in anarchy for a year or two, and hope a better one appears in it's place and/or tries to create a better one. It's not the cheapest way to make a change nor the most efficient, but it is the fastest.
