system
A chat on subreddit /r/wallstreetbets
human
Xbox 360 was designed by ATI but Microsoft owned the IP.  It was manufactured by TSMC. 
  
 PS3 GPU was an Nvidia chip. 
  
 AMD did make the Wii GPU, though. 
  
 CPUs were IBM, Toshiba/Sony, and IBM respectively. 
  
 Roles were reversed this gen.  Switch is an Nvidia chip, and Sony and Microsoft are both running AMD. All are CPU/GPU combos.

gpt
either way the cpu market is what is keeping amd afloat and thats always been in consoles. The problem right now is when consoles need stronger gpu's AMD is going to lose more and more. Like the switch has an Nvidia chip in it and i wouldn't be surprised if the new consoles had nvidia gpus, but amd cpus.  
  
 to be fair though the new amd apus which integrated vega chips are pretty nice.