Here are some aspects of pirate ship democracy

Captain
The captain was elected, just as the U.S. president. The captain was granted total power only during times of distress.

Quartermaster
The quartermaster resembled a judge in settling shipmate disputes and preventing the captain from overstepping his authority.

Crew
Crew members were assigned certain duties. They also had a say in the ship's affairs. In peacetime, major issues were decided through democratic voting, including where to raid.