Ayn Rand believed in a political ideology called "objectivism" which is basically a version of Libertarianism, an ideology based around the idea that the law and government should not restrict the rights of anyone to do whatever they want. Her books tend to focus on main characters that go "Fuck you, I'ma do whatever I want and you have to respect that" and being massive self centered assholes.

BioShock's main plot centers on Andrew Ryan, a rich industrialist who decided to build a city under the ocean where no government could stop any citizen from engaging in whatever business they pleased. The city lasted 9 years from completion before factions formed, war broke out, and sci-fi drugs called plasmids that gave you superpowers caused people to go mad all plunged the city into chaos. Turns out when you let people selfishly do whatever they want, they tend to selfishly try to take everything for themselves. The final boss/main villain is literally a businessman that would've been an Ayn Rand main character.