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1. Troops add (disband one and see the impact)
2. Self-controlled terriorty counts more than vassal territory (make your city a vasall and see the impact)
3. City improvments did do nothing in my test (destroyed improvments and it had no impact)
4. Troop experience did not matter in the few tests i did
Makes sense, each self-controlled territory is a new potential production source for fresh units.
"Power score, also known as power or strength, is a mixture of 6 values:
10 points per Region Population
10 points per Vassal Population
0.25 points per controlled Tile
10 points per Town
12 points per Tech Unlocked (regardless of Age)
4 points per Unit Age (Warband from Age 1 is 4 pts, Spear from Age 2 is 8 pts, etc.)
The relative power score for getting into Conquest and Generals is based on your "next top rival" meaning whoever is most powerful, not including you. So if you have the highest power score you'll need to be 1.5x stronger than the next highest player to get into the age, and if you're not the strongest then your score will be calculated as some fraction of whomever is the strongest
A similar value is calculated for winning Conquest, and winning Generals, except Age of Generals combines all of the power scores of the nations in your Faction, and compares it to every nation not in your Faction (including nations that aren't in a Faction), basically your Faction vs the Rest of the World."
Could it be that units with no base upkeep don't add to power score?