Technically, BioShock Infinite has no multiplayer mode; you can only play the single-player story. But let's look beyond how we traditionally understand multiplayer games for a moment. If we do, what we find is that just because a game doesn't come packaged with a multiplayer mode doesn't mean it can't become a multiplayer experience. Multiplayer games are just games played by multiple people, right?
At one point during BioShock Infinite's development, traditional multiplayer was in the works, yes. We reported about two different multiplayer modes that were eventually axed: one that put players in an old-timey arcade machine, and one that was similar to the Spec-Ops mode in Call of Duty. According to our report, the idea was that multiplayer should be included as a means to deter people from trading Infinite in to used game stores, as multiplayer can prolong how much time people spend playing a game.