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DeepO

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supporting Candle'Bre
Jan 2002 time: 06:20
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It depends on the situation, and difficulty level, but the reason why currency is such a nice tech to research on your own, then trade it to the AIs is that it is very low on the 'to-get' list of the AIs. You have a good chance of being the first to research it, and if you have enough communications at that time will almost certainly get 3-4 techs out of it.
Literature is also something you might discover first, and democracy, banking, and any of the dead-end, optional wondertechs as well. These can be used to trade, and will gain you most, as you're the first one to have it, and the others are not researching it already (so haven't put any beakers in it already).
In the industrial age it is the so called southern line approach: research only the techs on the bottom of the chart, and trade for the techs on top. A vital tactic when you want to play peacefully at higher difficulty levels.
DeepO
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DeepO

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supporting Candle'Bre
Jan 2002 time: 06:20
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Oh, and whether you want to beeline for literature or monarchy: I assume you're playing on a mild difficulty, because otherwise there is no choice. Monarchy is something the AIs will beeline for, and as such is relatively easy to get from them. Literature is something they are not overly interested in, so you should research that, and trade it to them, possibly for monarchy (more likely for one of the prerequisite techs for monarchy).
As both techs are wonder techs, you might get a good deal out of it. But anyway, lately I don't research, or buy monarchy anymore: it's close to impossible to build the hanging gardens, and I'm more interested in republic. I don't make the switch to monarchy, and most of the times will get the tech late in the middle ages when I'm trading some other tech to everybody I know.
DeepO
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DeepO

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supporting Candle'Bre
Jan 2002 time: 06:20
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That depends greatly on what you are planning to do, the difficulty you're playing, the size of the map and the # of AIs. There is no fixed answer for it.
If you are planning on an ultra-early archer rush, 4 or 5 cities will be enough on each map type. If you can get all but one of your cities producing barracks and military unit, the last one building settlers you, you have both enough military and a little growth left. Then, after you conquered some territory, put all cities back to settler-culture building, and expand until you either have everything covered, or gain a new tech that will enable you for another war (e.g. knights)
For peaceful conquest, I'll always expand until every available tile is occupied, while alternating between culture & settlers. And some military to keep the foes out. Never did I have to dismantle military, though, if you have too much of them, just start a war 
What the switching to another government is concerned: This too depends on the situation. Normally, the earlier you switch, the better. However, if you build a lot of troops, a lot of culture, but no marketplaces or adequate roads, it can cost you too much to switch to republic. In that case, stay a little longer, build markets, make sure each worked tile is roaded (for the commerce), and let a few of your core cities grow (so build no settlers in them).
On a huge map, it is very likely that at this time you haven't expanded to all available land, so after switching governments, keep churning out settlers.
DeepO
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DeepO

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supporting Candle'Bre
Jan 2002 time: 06:20
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Chad, that depends on what you are planning, and what the situation is. If you go for early war, one, or even none would be ok, while you train your forces. If, OTOH, you have room to expand and the next AI is a distance away you could just keep on building settlers until you run out of free space. Just keep the capital and another city apart, for wonderbuilding and troops.
So, an example might be that your capital builds 2 settlers, and after that only builds troops, improvements, and wonders. Once you bump into the population limits (6 or 12), you can build workers from there. Another city could be set apart as pure wonderbuilder, if it is a coastal city, starting with the Colussus. (or a palace-prebuild for the great library)
Just always, even late in the game, keep a settler around, and if needed always keep a city on settlerbuilding only. You could use these to claim razed land, or try to squeeze them between two warring AIs to get some free resources / luxs.
DeepO
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