In my humble opinion, with a true Anarchy, the masses wouldn't be able to deal having "no control" on them whatsoever.
there will always be a need for a type of government or higher power to maintain things in control.
You are right Digit in saying that your pure socialist world would be an "ideal". In our real world of chaos and nonesense, hard to come true, unfortunately.
Pride and Greed are too strong in certain people for them to feel that they really "own" nothing and anything of their's can belong to anyone. see the pattern here?
just my .02
