They run off of a fake "respect" demand, and yes there are ranks. There are also "disciplines" for disrespect. I learned too much about it when I was in prison.
Anarchy does not mean chaos. It means no central authority.
The American colonies had no central government. Thomas Paine became the first ideological leader when he published Common Sense in 1776.
The Dutch Empire had no central government.
The tribes on the east side of the river Rhine, known to Romans as Germanicus had no central government and they whipped one third of the entire Roman army in one battle. They even mailed the general's head to the senate to be sure they knew who did what.
The portion of Hebrew history known as Judges had no central government and no laws in the land between cities.
Each of these examples lasted about 150 years and then the people threw away their achievements and demanded a central government. After that they either were conquered or collapsed from within.