Infinite is a prequel to the first two blowback games and take places in another universe .
Though the game takes place before the events of the previous two BioShock games ( occurring in 1960 for BioShock and in 1968 for BioShock 2 ) , the question of whether Infinite occurs within this same timeline remains unanswered until the release of the season pass for infinite confirming that Infinite is a prequel to the first two blowback games and does not take place in the same universe.
BioShock Infinite