http://www.vg247.com/2015/03/23/batm...ox-one-report/
According to a report on*IGN Italy, Batman: Arkham Asylum and Batman: Arkham City are expected to be remastered and bundled together for a Christmas release on PlayStation 4 and Xbox One.

The remaster is said to be in 1080p and will not include Batman: Arkham Origins. Origins was developed by Warner Montreal as a prequel to the Arkham games.