Batman: Arkham is a series of action-adventure video games based on the DC Comics character Batman, developed by Rocksteady Studios and Warner Bros. Games Montréal for PlayStation 3, Xbox 360, Microsoft Windows, and Wii U. The Rocksteady games were written by veteran Batman writer Paul Dini and feature voice actors Kevin Conroy and Mark Hamill reprising their roles as Batman and Joker from DC Animated Universe.
The first game, Batman: Arkham Asylum (2009), focuses on Batman trying to prevent Joker from destroying Gotham City after he takes control of Arkham Asylum. The second game, Arkham City (2011), is set a year later, after Hugo Strange expands Arkham into a massive super-prison enclosing a dilapidated segment of Gotham City; Batman is incarcerated and must uncover the secret behind Strange's sinister scheme, "Protocol 10". Arkham Origins (2013), the most recent installment, is a prequel set years before the events of Arkham Asylum in which a younger and less-refined Batman must deal with a bounty that has been placed on him by crime lord Black Mask and has lured eight deadly assassins to Gotham on Christmas Eve.
A number of handheld games are also included in the series.
Source: Wikipedia, "Batman: Arkham", available under the CC-BY-SA License.