Someone always has the de facto authority to wield violence.
In modern society, this authority is the state.
In Dread Pirate Robert's universe, no authority should wield violence... except Dread Pirate and his associates if it suites them.
Libertarian and anarchistic ideologies start from the wish that no-one would wield violence and all would be equal.
Unfortunately, how real world scenarios evolve is that existing system is replaced by chaos, from which a few entities reach political authority, at which point they take the authority to wield violence and make the decisions for everyone else they want to make.
Anarchy and the like work only in smaller social groups such as a family or a commune where everyone can rationally assume everyone can be trusted and to act fairly within the context of an uncodified behavioral standard - to stay within the groups culture.
At larger scales these types of population dynamics just don't work, and the stuff rises up which require the equivalent of the functions of modern state to function properly as a whole.
The point is, if there is no central auhtority, someone will become that authority (picture somalian warlords, russia after 1917 revolution and so on).
So replacing current state with an entity on 'non-violence' and non-coercion does not work - these are sociological oxymorons that do not exist.