Board Thread:Skyrim/@comment-124.176.64.180-20130415221603/@comment-6881629-20130520084712

We never see him use those shouts but it doesn't mean he has no access to them (why would he use they have no use when we fight him), he was around when Dragon Rend was invented and like our character he can probably learn a shout after just hearing it once. He is also the champion of Hermaeus Mora and Mora knows almost everything including Dragon tongue.

But if Miraak fighting Alduin played out the same as our fight he wouldn't win becuse the three heros probably wouldn't fight with him. Miraak would probably try to trick Alduin into entering Apocrypha though.