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How quickly you want to use the city and if there's anything of value.
More science buildings. Eventually you might want to annex your puppeted cities, and you can build science buildings there to help offset the tech cost.
This is the tall empire, where you have few cities yet very high population in them. It's much easier to play tall (and more desirable in Brave New World), but wide (many cities with low population) can work if you know what you're doing. The tech penalty you're talking about is a 5% increase in tech cost per city owned (Standard speed, Brave New World expansion).
The tech cost isn't really too bad (not to mention you don't need to keep every city). It really depends on when you want to begin your conquest (and you only need to take the capitals). For me, I usually begin conquest around the Medieval/Renaissance era. But it all depends on when your empire is ready for the costs of conquest.
I highly suggest NOT razing a city. It removes a perfectly good city from the map, leaves an empty culture hole (where another nation will probably build a city), and adds a ton of unhappyness. Unless you want to make some sort of statement or you can't handle the negative side effects, I suggest you DON'T RAZE A CITY.
2. True, another Civ might build another city, but it doesn't really matter unless it's a very strong opponent. You could always repopulate it if you realize that you needed that spot (or reconquer).
3. The unhappiness isn't permanent. It will decrease every turn because the city population is decreasing and eventually the city will be gone.
But yeah, razing won't happen too often (unless you are the Huns).
Puppets don't give all benefits and they add extra unhappiness. So puppeting requires you have extra happiness. Annexing a city has it's cost, you need to buy/build and maintain the courthouse. Courthouse's maitenance is 4 gpt, so it's way too high for small cities, better to raze them. So, annexing requires that you have gold reserves.
Razing and settling a new city to same location can be the best option, because you can avoid happiness penalties and percentual science/culture penalties from puppeting and gold penalties from annexing a city, while unhappiness from razing a small city is very temporary.
I guess I dont see how to progress in science rapidly, and was thinking it's because of taking so many cities.
I put libraries in each city, and got the national college....still I dont get air power till 1900, etc.
FYI, for Domination, you only need the capitals.
You don't need to annex every city though. You can leave it as a puppet. and maybe it'll get around to building science buildings on its own.
You need Universities, Public Schools, and Research Labs in those cities, man. Libraries alone aren't going to cut it.
Ok, this is good to know. I usually put universities in every city as well, but havent put the schools or labs.
Wondering if I can get to tanks/planes in the 1700-1800s....
I seldom annex anything; I start out with just a few cities of my own, then slowly build a puppet empire. Eventually I might annex a former capital, or a small city where I need to buy an airport.
I liberate captured city-states.
In Vanilla and GNK, conquer and Annex your heart out. There's no science penalty for military imperialism.
But given that you talk about your science getting slowed down, I assume you have BNW. For BNW conquest, puppet the unnecessaries and annex the capitals and valuables. Tech costs will still go up if you raze a city, because you have to annex the city to raze it.
This! :)
Annexing is more important in BNW than previous iterations. The science penalty per city applies to puppets as well. The difference is that in annexed cities, you can rush-purchase the science buildings to counter the penalty, where as in puppets they are permanently on gold focus and waste turns building ♥♥♥♥ you don't need.
Sure, you can ♥♥♥♥♥foot around with 4 cities, razing anything you capture, but once you get a good snowball going it is easy to hang onto any city without penalty. Order Ideology is especially good with this. Order's free courthouses + reduced building purchase + Commerce + Big Ben = instant late-game city for a few thousand gold.
Most AI cities are in good locations now. When the game first came out, the AI would spam cities anywhere it could, even on tundra/snow, just because. It doesn't really work that way now. For 90% of the game, the AI will typically pick decent locations, though will start dropping crap cities everywhere in later parts of the game.