As defined before, an anarchism type of government is a government with no central state. People exist in this type of society on a basis of consent. If the people want something to get done, they get it done without outside organization or control.
This would probably be a hard government to create in any world, even the real world. The Russian revolution was originally begun and supported by anarchists of the time until the Bolshevicks turned against them and created the Russian Communist state.
The main problem with anarchism is that it doesn't take into account man's selfish nature, instead relying on man to seek a common good over what is good for the individual.
My recommendation, avoid anarchism, unless you're writing a story about an anarchist society becoming a dictatorship or monarchy, or vice versa.