I thought there were anti-trust laws to make this sort of things go away, at least in the US? Or have I been misinformed?
I can tell you that EA to me seems to be a fire-eating steaming all gaming eating dragon that isn't satisfied untill they own everything in the universe, gamewise. Unfortunately, they seem to have the money to buy things they wanna buy...
EA does not need to buy Bethsoft as they only need to buy the parent company, Zenimax Media Inc. However, Zenimax Media Inc. really is the rich men's playground as Donald Trump etc. sit on the board of Zenimax Media. Bethesda Game Studios is in a very unique position as the money to develop games don't come from say Microsoft (I think?) but from the parent company, Zenimax Media Inc. Bethesda Sofftworks is the publishing arm of the Zenimax Media Inc. company. Hopefully, this means that EA keep its fingers a very long way away from Zenimax and Bethesda.
However, a giant like EA can also be too big, me thinks. This means that at some point EA will crush under its own weight....