Despotism

Despotism is a form of government by a single authority, either an individual or tightly knit group, which rules with absolute political power. In its classical form, a despotism is a state where a single individual (the Despot) wields all the power and authority embodying the state, and everyone else is a subsidiary person. This form of despotism was common in the first forms of statehood and civilization; the Pharaoh of Egypt is exemplary of the classical Despot.

And what does that have to do with anarchy?

If my boys lived under despotism, they would rebel and that would be anarchy.

BTW, Mike wins, being the first to define despotism without the aid of a dictionary OR an 11 year old boy. Way to go Mike!