"The private ownership envisaged by the anarcho-capitalists would be very different from that which we know. It is hardly going too far to say that while the one is nasty, the other would be nice. In anarcho-capitalism there would be no National Insurance, no Social Security, no National Health Service and not even anything corresponding to the Poor Laws; there would be no public safety-nets at all. It would be a rigorously competitive society: work, beg or die. But as one reads on, learning that each individual would have to buy, personally, all goods and services needed, not only food, clothing and shelter but also education, medicine, sanitation, justice, police, all forms of security and insurance, even permission to use the streets (for these also would be privately owned), as one reads about all this a curious feature emerges: everybody always has enough money to buy all these things.
"There are no public casualty wards or hospitals or hospices, but neither is there anybody dying in the streets. There is no public educational system but no uneducated children, no public police service but nobody unable to buy the services of an efficient security firm, no public law but nobody unable to buy the use of a private legal system. Neither is there anybody able to buy much more than anybody else; no person or group possesses economic power over others.
"No explanation is offered. The anarcho-capitalists simply take it for granted that in their favoured society, although it possesses no machinery for restraining competition (for this would need to exercise authority over the competitors and it is an anarcho- capitalist society) competition would not be carried to the point where anybody actually suffered from it. While proclaiming their system to be a competitive one, in which private interest rules unchecked, they show it operating as a co-operative one, in which no person or group profits at the cost of another."
George Walford [On the Capitalist Anarchists]