I have this same problem with my buetiful better half baby gaming rig

what stinks is this can be caused by sooo many different things.
overheating is common problem as mentioned above... CPU, GPU, memory ETC.
CPU issue wether overheating, or malfunctioning
Power supply issues as well. Using "Everest" I was able to monitor what happens when a game engine starts and I am astonished.... My video cards double thier gpu clock rate, and memory rate that must increase the load on the powersuply...
so after checking heat... dust bunnies etc... I purchased a Power supply to see if I found my problem.
** I would first find out if your reboot is a software reboot or a hardware reboot by checking if your system is configured to reboot on blue screen ** If your computer is only rebooting on blue screen look at drivers and fun stuff like that.
Hope anything I said helps!