By the way, this game uses their 2nd gen Wii U engine which has full deferred shadows and high dynamic range lighting.
From what I understand this means all shadows are rendered after the geometry, allowing them to have shadows made from multiple light sources and none of them are fixed or pre-baked. So if a spotlight moves across the scene, all shadows are created at that point making them more fluid and dynamic.
Also the HDR lighting takes a high contrast and a low contrast version of an image and combines them to make a map and then pushes the light through the map to make a very detailed, colorful and realistic illumination of a scene.