I don't think you understand how "being bought" works.
And how is all that xbox and switch talk relevant? The real question here is if take-two are fixing or open t sell and if sony are willing to buy. Funy thing about things like these is that sony doesn't even have to use their "own money" if they really wanted to make a deal like this happen.
Having said all that, I think this is one of those empty rumors that has no stock. And I just don't see sony fixing to spend around $10B on a studio(s). Unless its a pre-emptive move which would mean MS was abut to buy them. This is a deal that would have meant more for MS than it would for sony.
Its not rocket science. If your company makes profits, and you don't have to share the profits with anyone than why the hell would you want to be brought out so the profits get divided? If Sony brought Take-Two than they will require a % of the profits. Take-Two make all the money they need and I highly doubt they need Sony or another company to help make them more, if anything they will make less under an umbrella.
Xbox and Switch are platforms that Take-Two can make a fortune on which is why Take-Two are better being on there own because the potential market share they can gain is a lot bigger than being stuck on 1 platform. That's why they are mentioned here. You want to maximise your profits, than you need to see the industry as a whole not just tunnel vision.
We are talking about a brand that makes there billions due to multiplatform freedom. So what part don't you think I understand?
MS don't throw there money away unless they see potential fast gain return. Minecraft was considered one of there biggest purchases in there gaming division, the difference is Minecraft is like the 3rd best selling game ever made and continues to sell. Its a purchase with a very good return and MS keep it multiplat for that very reason. Sony wont buy Take-Two and keep there games multiplat which means its going to take a lot longer for Sony to make there money back especially when Rockstar make a game every 5 years.
Its just not a finically good business decision for a company like Sony, they aren't as big as many make them out to be. $10b is a lot of money and even though they have other options to purchase them, they need to hold onto there options as the industry is pushing into a direction where they have other services that need attending, not throw half of it away for 1 brand that already makes Sony money without the need of spending billions on them.