Any government structure results in a hierarchy of those who have and those who don't. Of course, even anarchists can't agree what this means, so that's problematic.
"Look what I did to this city with a few drums of gas and a couple of bullets. You know what I noticed? Nobody panics when things go according to plan. Even if the plan is horrifying. If tomorrow I tell the press that like a gang banger will get shot, or a truckload of soldiers will be blown up; nobody panics. Because, it's all part of the plan. But when I say that one little old mayor will die, well then everyone loses their minds! [Joker hands Two-Face a gun and points it at himself] Introduce a little anarchy. Upset the established order, and everything becomes chaos. I'm an agent of chaos. Oh, and you know the thing about chaos? It's fear." —The Joker