left wing anarchists?
left wing: the part of a political group that consists of people who support liberal or socialist ideas and policies : the part of a political group that belongs to or supports the Left
http://www.merriam-webster.com/dictionary/left%20wing
Definition of SOCIALISM
1: any of various economic and political theories advocating collective or governmental ownership and administration of the means of production and distribution of goods
2a : a system of society or group living in which there is no private property
b : a system or condition of society in which the means of production are owned and controlled by the state
3: a stage of society in Marxist theory transitional between capitalism and communism and distinguished by unequal distribution of goods and pay according to work done
First Known Use of SOCIALISM
1837
http://www.merriam-webster.com/dictionary/socialism
Does that sound like there could be an absence of government in that scenario?
You fall into the fallacy of false dichotomy. Your very definition that you quote says "liberal OR socialist" policies. There are liberal policies that are not necessarily socialist, such as eliminating laws on drugs or abortion, both of which lessen the authority of the State, but at a cost to society. That's where your linear model falls apart.
Others have already pointed to other models that fit better, such as the Pournell model.