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My research minister ordered several techs that can't be researched becuase the prerequistes have yet to be researched. Does this result in the prerequisites being researched, or should I cancel the techs?

If you research a tech that has prerequisites that have not yet been researched, the system is supposed to auto add those techs to your research que,making you complete research on them beofre starting the tech you wanted.

BUt that siad, i did come accross one instance that i never figured out, in which this did not seem to work as intended.

So, its supposed to do so(and has in almost every case),but i have seen what appeared to be an anomoly in which in one case it didnt.

Tkobo's anomaly aside, the prerequisite techs should be added into the queue and researched in order automatically.

One word of advice, your minister will add more and more research projects until all the available slots are filled. While this is alright if you are playing a long campaign and there is nothing you desire finished quickly, you might have to pause several (if not most) of these projects to ever actually see anything finished. There are various strategies for research. I myself keep one active project at a time because there is usually something I want done right away.

-Light

So more research slots is not necessarily better? Under what circumstances should you build another research facility?
I've also found myself trading for techs and units. Expensive, but you can tech broker.

As a lot of things in the game , its complicated.

Things that matter are:

1)length of game
2)techs desired to be achieved
3)economic strength of region
4)population of region
etc....

All of these combine to make it a case by case situation.