Notice the title. It is Battle vs Chess not Battle Chess. This is obviously to avoid the lawsuit from that old Commodore 64 game. If you are not really into chess or totally suck at it, there is a real super easy way to cheat...
Go to chess.com where it is free to play. Set the game to really hard and importantly : play as black. This will allow the computer to play first. Then copy exactly what the computer does playing white and do the same moves in Battle vs Chess. Well blow me down like a barn door in a hurricane, you win every game!
Battle vs Chess is due September 28 on Xbox Live Arcade