SKIP to the last page if you want. It basically says "don't buy this".
For gaming, you need to concentrate on getting the best GPU in the laptop more than anything else. Probably the best value "gaming" laptop is the best APU you can afford (with no second GPU for Dual Graphics). "Dual Graphics" is basically the same as Crossfire but has even more problems currently.
GTA 4 is a very poorly ported game. It runs crappy even on my high-end gaming machine.
This laptop has an A10 APU, but it's mainly the GPU that is important. In the "8610G" it's the SECOND number that's the most important.
The "8" means it's a new GPU (or rebadge of 7000 series) and the "6" is the relative performance in that group. In general.
*So look for an A8/A10 APU with the best GPU performance. I'm not recommending a different discrete CPU and GPU because I don't think you'll do better than that in that price range.
I also recommend HP, Asus, or Lenovo.
I do NOT recommend Acer.
Most other specifications are fairly similar. Screen resolution varies a lot so if you can get higher than 1366x768 do so.
You can also output to a monitor or HDTV via the HDMI connection (and get sound if it's supported). Add an XBOX 360 controller for supported games and it's basically a gaming console. If you use STEAM (recommended) to add games you can even navigate with the controller by changing Steam to "Big Picture" mode. The above laptop would run SKYRIM for example very well though for ALL GAMES you should always tweak the settings to attempt to maintain 60FPS VSYNC if possible.
Finally, Windows 8 has a new interface. I absolutely DO recommend it, but my advice is to avoid it for now by using START8 ($5) from Stardock. It will add back your Start Menu, but you should change the SETTINGS inside Start8 to avoid the Charms Bar in the desktop, boot to desktop directly or whatever else you want.