Anarcho-Capitalism is redundent in using the term "capitalism". With anarchy there is no government...hence no restrictions on capitalism. It's like saying Libertarian who loves freedom, or intelligent genius.
Anarcho-Capitalism promotes a stateless society, where people are unprotected from buying things they might actually want. Anarcho-Capitalism allows employers to pay employees whatever they want...but what's worse is it allows employees to actually accept any wage they want.
Anarcho-communism is one of many leftist philosophies that grew out of the USSR's collapse. Anarcho-Communists claim to be against government as well as capitalism. The ideology is contradictory in that it portends to be against authority and force, despite the fact that you need authority and force to limit capitalism. Noam Chomsky, a lingistics professor at MIT is one of a several modern leaders of the movement, and he too perpetuates the ideology's contradictions by being for increased government to stop corporations. To be brief, an anarcho-communist makes as much sense as it's name...none. A follower of anarcho-communism is often called an "oxymoron" or simply "moron" for short.
"Colombia's paramilitaries killed workers who tried to join a union. It's not the government's fault...it's Coca Cola's fault." "About 30 million people died under Stalin's authoritarian communist government. It's not Communism's fault...it's capitalism's fault for making Stalin work so hard that he killed people. The solution? Just take away the word 'authoritarian'" "Government is evil...but we need it to protect the environment, provide healthcare, education, jobs, food, and protect people from capitalists who want to sell us things we might want to buy" "Anarcho-communism isn't contradictory...you are contradictory!"
An anarchist who likes government. A libertarian who hates freedom. A communist/socialist with a different name for PR reasons. Basically something that doesn't make sense. Another way of describing it...a monkey in a pinata.
Libertarian Socialism is the perfect ideology for a schizo.