I think I may have the solution for this. I have a AsusG73JH with a HD5870 Mobility card. Amnesia didn't work with the officially supported drivers from Asus (which haven't been updated in more than a year - I hate the lousy driver support by PC hardware manufacturers and especially laptop makers). When starting Amnesia it crashed with a grey or black screen with vertical stripes after just a few seconds. Sound kept on for another 30 seconds or so, but then the computer froze and needed to be rebooted.
Amnesia wasn't the only game that didn't work, all games using OpenGL such as Minecraft, Ghost Master and a few more indie titles, and also Oracle's VirtualBox caused the computer to crash.
When I downloaded and installed the latest Catalyst drivers from ATI/AMD, things just got worse. The whole computer became unstable and regularly froze up.
But now, I found this link -
http://forum.notebookreview.com/asus-gam...blues.html
Did as he said, and now for the first time since I bought it, it works fine with the latest Catalyst drivers, and Amnesia and the other games works perfectly!