5b) AI production: In the industrial era, my production absolutely skyrocketed until it was several times as large as that of the next best AI. Many factors contributed to this (playing Frederick, having Assembly Plants, managing to build the Three Gorges Dam, having a large empire), but I still got the impression that the AI didn't give production a high priority. Due to this, they were never able to build a meaningful amount of tanks - tanks are a very powerful unit which can't be gotten by upgrading others, so tanks are the point where having high production translates directly into military power. However, the only two enemies I fought that had Industrialism managed to field exactly one tank each (Gilgamesh may have had some more since he had this war against his neighbors before I reached him).
*nod*, the AI still doesn't go exponential enough in the modern era. I find that I tend to have a handful of specialized high-production cities (that use mines and the like), which then build wonders that leverage that high production to make it ridiculous production (national epic for a unit factory, ironworks for a wonder factory, etc).
The AI is horrid at city specialization.
5c) Tech Trades: The AI doesn't see that making a lot of "bad" trades can add up to a substantial advantage. Example: An AI could trade a technology to five other AIs, but doesn't do so because none of those have anything to offer except 1000 gold each, and the technology is worth much more. So the AI won't trade its tech. Then the human player comes along, researches the same tech, and trades it to all five AIs for 1000 gold each. As a result, the human player now has 5,000 gold more, and probably better diplomatic modifiers with five other civs, whereas the AI who researched the tech first has neither.
Part of this is that the 5th AI shouldn't value the tech that highly any more.
The value of trading away a tech to an infinite number of clients should be roughly the value of researching the tech. But that isn't how the AI values technology.
Suppose we revalued technology to be worth (1/2^n) times it's lightbulb value, where n is the number of empires that have the technology.
So if you research a technology worth 1000, you can trade it away for 500 gold to the first person, 250 to the 2nd person, 125 to the 3rd person, etc.
With a large number of other players "on side", you could tech up using only their gold paying for it -- they would also get the technology, however.
In the case that two civilizations know different sets, we could use the average of what each civilization thinks it is worth.
Dunno.
5d) Resource trades and Corporations: How does the AI value resources that it trades to me for use in my corporations? I get the impression that the AI gives such resources very little value. They usually give me several resources for one of mine, or they add gold per turn to the deal. This is not in proportion to the use I get from these resources when I have an empire with well-spread corporations - or am I missing something?
Yes -- I think the AI's resource value code is still stuck in the pre-corporation model, where a 2nd resource isn't worth as much as the 1st by orders of magnitude.