There's quite a lot of assumption in your response, I'm afraid.
I don't begrudge them playing games in the slightest. I just limit the time they spend doing it (and plenty of scientific studies back up my view on that aspect of it). After safari, FIFA14 is the most used app on my iPad - again...
Mine are 15 and 13. They are allowed a maximum of 2 hours gadget time - playstation / ipad - not counting the hours they might use the laptop for homework*.
And we are very strict of the game age restrictions. FIFA, driving games (NOT GTA obviously) and stuff like Lego Star Wars. No Halo, CoD...