Anarchism

Could anyone give me a straight answer as to how a self ruling state or country would operate?  Sounds to me like its just Democracy without figureheads.  How would they create laws and decide on issues?

As well, could anyone explain the difference between anarchy and socialism?

No laws, you dumbfuck.

Issues?  Everyone does what they want.  Certain actions will cancel certain other people's actions out.  Whatever is left is the decision on the issue.