The bioshock games are about freedom and choices. Rapture is the city of man, the us Utopia where you are truly free, you later learn you are everything but that. Infinite is the opposite, Columbia is a religious dictatorship, no one is free. Yet, Booker is bombarded with choices, he seemingly has the opportunity to make a difference. In the end we learn who he really is and why.

The first two games use a setting of "the land of the free" To tell you you aren't. The third game says you aren't in the control and God / Comstock are even though you constantly have "freedom".

Just my opinion though.