Hey guys I have an hdmi cable AND an HD tv, and yet not only does a 1080p game (Arkham City) MAKE ME play at 720p but also I have been noticing that every game I play has very choppy graphics, like a rope or something thin is whats REALLY bad. Anyways how can I fix these problems (Choppy graphics, and not being allowed to play 1080p on a 1080p game)

YES MY TV DOES SUPPORT 1080P AND YES I HAVE 1080P SELECTED IN SETTINGS