While rumors about possible multiplayer in BioShock Infinite have been floating around for a while, Irrational Games' Creative Director Ken Levine has confirmed there will be no such thing, tweeting "No MP in Infinite"

Originally conceived as a floating symbol of American ideals at a time when the United States was emerging as a world power, Columbia is dispatched to distant shores with great fanfare by a captivated public.  What begins as a brand new endeavor of hope turns drastically wrong as the city soon disappears into the clouds to whereabouts unknown.

BioShock Infinite puts players in the role of Booker DeWitt, a hard-bitten former Pinkerton agent, together with the revolutionary AI companion, Elizabeth. The two struggle to escape the sky-city of Columbia, in a 1912 America that might have been. Armed with an arsenal of new weapons and abilities, they face menacing enemies, in unique expansive environments. Classic BioShock gameplay joins innovations such as aerial combat on high-speed Sky-Lines in the service of an immersive storyline – an Irrational Games signature.