Objectivism rejects anarchism for very good reason.
In the following link, Dr. Harry Binswanger explains why an officially established ("monopolistic") government is necessary for a free society, and why the "anarcho-capitalists'" objections to it are baseless:
By the nature of the following refutation of determinism, it can also be considered a proof (1) of (libertarian-type) volition. It is a refutation of any theory that would deny the existence of non-necessitated events--in the form of fundamental, agent-controlled choices--located in a conceptual consciousness, including incompatibilist determinism and compatibilism.
Here is a short video (by someone else) explaining the general outlines of the argument:
------------------ (1) The argument shows that volition is a prerequisite of all knowledge and that the denial of volitional choice implies self-contradiction, thus establishing volitional choice as an axiom of epistemology. Strictly speaking, I think, by Leonard Peikoff's definitions, this is not a proof, but an axiomatic validation. It establishes the axiom as absolutely and unquestionably true, but does not involve the specific process of logical proof of the positive proposition.
