The Rocksmith guitar that comes with the deluxe version of the game is a Les Paul that has a single humbucker pickup.
A humbucker is a type of electric guitar pickup that uses two coils. Humbuckers have higher output than a single coil pickup since both coils are connected in series. Like a single coil pickup, the magnets in a humbucker produce a magnetic field around the strings, which in turn induces an electrical current in the coils as the strings vibrate. A humbucking pickup is essentially two single coil pickups, one of which has the north poles of its pole pieces oriented toward the strings, and the other has the south pole of its pole pieces oriented toward the strings. Since the coils are connected in series and out of phase, noise and interference are significantly reduced. Humbuckers get their name because they cancel out interference and "buck the hum" induced by alternating current from power lines and other devices, which is normally experienced with single coil pickups.
I've read people having trouble with the game picking up notes on their guitar. Could this have anything to do with the pickup? Does the game detect notes better if your guitar is equipped with a humbucker ?