You can only build one economic, research, and manufacturing capital ( one of each), but I notice in the current game I'm playing that you can capture another civilizations capital and still own the ones you built....
I have done this and noticed in their capital was a manufacturing capital, so now I have at least 2.
More importantly, while capturing systems, I have captured a few that are building capitals. This concerns me.
If I build them, will they destroy ones already built? is there any rule that you cannot build more than 1 or they destroy previous ones built?
I'd hate to take them out of the planet's build queu and not be able to build them at all if they would actually help my empire....