Hmmmm
Couple things i would look for is to ensure that airflow is at it's highest. Clean very thoroughly. Also check that resolution selection for the game is not over what your capable (i know with my old laptop i acidently had my game trying to use 1080p when the display could only do 720, blank screen would come up and temps would increase. This was, what i think, the computer trying to put out the right resolution, but display not able to give it. I would also run a diagnostic check on hardware. Could be wrong, but Acer does give you a program that does a quick test.
EDIT: how long will it run until it crashes?