Yup... I have a Toshiba laptop with 8.1 and I've been having this issue since I got my computer. However, before a prompt would pop up and if I closed that then the game would run fine. However, recently it's been BSODing without that prompt.
I've tried updating my drivers, but I can't. Either they aren't validated for my laptop (drivers from intel) or they're up to date (from Toshiba). I can't uninstall the intel drivers because they reinstall themselves. I can't downgrade to Windows 7 either because my laptop isn't able to do that.
So I'm pretty much screwed until either Intel or Toshiba get their act together? That's good to know...