Each village/town/city in Overthrow has a current "support" level. This is split into two numbers:
Tip: It is very difficult to raise "support" higher than the "support modifier"
= population supporting / total population % (easier to shift in small towns/villages)
+ Put up posters
++ Deliver medical supplies
+++ Capture any nearby radio towers
- Gunfire/explosions in town
-- Enemy patrols through town
--- Killing civilians
Each member of the population who supports the RF pays a small donation to the cause every 6 hrs (according to difficulty level). If stability is also high (over 75%) they will pay double, regardless of who occupies the town.
When support is really high (over 75%) you can capture the village/town/city and start collecting taxes. Small villages will pass to the resistance automatically. Towns and cities require a battle to take place. The next time any resistance member enters that town/city it will trigger a battle as long as there is not one already and the Occupying Faction has the resources.