As a kid, one of the comic books I loved was the sci-fi Scrameustache [1]. One of the recurring characters was a society of aliens called "Galaxians", who's society was based on extreme sortition. Every week (or day?), they traded posts. One would be a squad leader one day and the janitor the next.

Even as a kid, I realized this was a flawed concept, because it assumed experience and knowledge were fungible. Still, it was fun to think about...

[1] https://en.wikipedia.org/wiki/Scrameustache [2] http://www.bedetheque.com/serie-682-BD-Scrameustache.html