QUOTE(RowanPaladin @ Jun 11 2013, 03:34 PM)
The 4Gb one will allow you to play most of new games at 1080p without problems. As I said, a few newer games already use up to 2Gb of VRAM and it will only get bigger when games with better graphics pop up. As for your Tv, I'm not sure since I have no way of telling what model or resolution it runs on.

Actually, your hypothesis is not fully accurate. It is true that some of the newer games e.g Crysis 3 consume more than 2GB memory at even 1080p according to this review by
Guru3D, but this alone will not be the reason why the game isn't playable. Even with a 4GB VRAM, the GPU itself isn't strong enough for you to even play smoothly with all the details maxed out. So we shouldn't conclude that 4GB will simply allow you to play most games at 1080p lag free, when some games are so intensive that the GPU will simply run out of processing power, rather than become memory limited.
Even
HardOCP concluded that there isn't any advantage between a 2GB and 4GB version of the GTX 670.
QUOTE
This evaluation has concluded that there isn't any advantage, even in the latest games, to using an ASUS GeForce GTX 670 DirectCU II 4GB video card over a 2GB equivalent for a single-display gaming. We can honestly say now that 2GB is "good enough" even in the latest games like Far Cry 3 and Hitman and Sleeping Dogs for single display gaming on a GeForce GTX 670. The fact is, the performance isn't high enough with a GTX 670 GPU to allow the advantage of 4GB of memory at 1080p or 2560x1600.