arcelonious on 09 June 2013
Currently I would say Bioshock Infinite, Fire Emblem: Awakening, and The Last of Us (at least according to reviews so far). Between the three, The Last of Us appears to have received the highest praise from critics, so at least for now, that seems like the game to beat. Other potential GotY candidates include Grand Theft Auto V and Beyond: Two Souls, depending on how those games turn out.
In my opinion, I think Bioshock Infinite would have had the award more on lock if the gameplay was similar to its 2011 Demo (don't watch it if you plan to play the game, lest it inflate expectations).
