I'm also having this issue. I have Windows 7 64-bit and AGS 3.1.2.82 . When moved normally, the mouse moves on the screen incredibly slowly, and slightly erratically -- when I speed up the mouse whizzes all over the screen uncontrollably. It unfortunately makes games unplayable.
Edit: This is an Alienware TactX Mouse using the default windows driver, and it turns out that that default driver is indeed Logitech.
Edit: This is an Alienware TactX Mouse using the default windows driver, and it turns out that that default driver is indeed Logitech.