For a wonderful illustration of capitalism absent government, watch Deadwood.
I've gotta agree such a situation could never exist for long.
The rioting libtards are not anarchists, they may call themselves anarchists, the media may call them anarchists, "look at the chaos these anarchists are creating" but they are not any such thing.
They are disgruntled youths, they know they're pissed off about the state of the world they were born into, but they don't have a clear idea of why or what they would do to fix it yet. Anarchy isn't a reasoned political position for them, it's giving the status quo the finger.
Real Anarchists are a whole different trip, interesting folks generally speaking. They KNOW anarchy isn't a viable political model, and they don't care. They relish the the idea of a bloody, chaotic Darwinian world where they would have the opportunity to pit themselves against each other, generally believing civilization undermines the natural order of things, that survival of the fittest results in a much smaller population of the best survivors until a natural equilibrium is reached in which there's enough room and wealth to go around so they stop murdering each other in pursuit of it with such frequency. A rather romanticised vision IMO, that capitalizes on the fact that all men crave such a challenge, particularly in the pussified society we currently find ourselves in, along with the fact that they're dead right about civilization sheltering and nurturing useless eaters, genetically weakened individuals, culturally and intellectually bankrupt subcultures, the whole Neiche thing.
For further information check out the survival forum...