A (usually) intentionally ironic combination of the terms "anarchism" and "statism", attributed to Dr Roderick Long of the University of North Carolina. The idea is to imply the hypocrisy of anarchism by noting how anarchists in power invariably turn to totalitarian methods to enforce their authority. A notable use of the term is in the essay "The Anarcho-Statists of Spain" by Bryan Caplan.
"...the Anarchists preferred to become another predictive success of Bakunin's theory; they collaborated with some governments, established others on their own, and in each case proved themselves to be at least as oppressive as other governing classes throughout history. This is why I call the Spanish Anarchists 'anarcho-statists.' "