Overlord Act III Objective
Rule by Fear Alone
At the end of a chapter, advance 
1 for each resource type you have that matches your Outrage.
Control by Fear Alone
At the end of a chapter, advance 2 for each planet type you control that matches your Outrage.
If you're First Regent, you control all Empire-controlled systems for objectives.
At the end of a chapter, you win the game if you completed your objective and have at least 1 Power.
Act: 3
Q: How does Rule by Fear Alone interact with Monopolies?
A: You are considered to "have" these resources, so you do advance for them.