Rushing a temple or library doesn't help much if they have a lot of culture in the city prior to you capturing it, unless the happyness from the temple stops disorder or starts WLTKD. It does help once you expand the borders if it gives you more territory.
I think your strat works well for a few reasons:
1) Restistors require twice as many military to stop a flip. Getting rid of them fast makes it easier to hold on to the cities.
2) Lots of entertainers keeps the city from going into disorder, which would double the military forces needed to stop a flip.
3) Conquering the next row of cities probably ensures that the first set doesn't have any of its 21 production squares in enemy territory.
4) Rushed temple/library ensures that the city borders expand fast, helping ensure the same as 3.
Basically, while you may not be garrisoning enough troops to completely stop a flip, you have enough to make the chance small, and it gets smaller fast with all the things above that you are doing.
Edit: And cities will definately flip within the first two turns of capture. I have definately had a size 17 city flip on the next turn. I'm pretty sure I've seen it other times too.
I think your strat works well for a few reasons:
1) Restistors require twice as many military to stop a flip. Getting rid of them fast makes it easier to hold on to the cities.
2) Lots of entertainers keeps the city from going into disorder, which would double the military forces needed to stop a flip.
3) Conquering the next row of cities probably ensures that the first set doesn't have any of its 21 production squares in enemy territory.
4) Rushed temple/library ensures that the city borders expand fast, helping ensure the same as 3.
Basically, while you may not be garrisoning enough troops to completely stop a flip, you have enough to make the chance small, and it gets smaller fast with all the things above that you are doing.
Edit: And cities will definately flip within the first two turns of capture. I have definately had a size 17 city flip on the next turn. I'm pretty sure I've seen it other times too.
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