Third Person (Omniscient)
Although each chapter limits itself to one POV at a time, there are so many POV characters that we have to say this book is pure omniscient, as opposed to limited omniscient. Not only do we see the varied perspectives of our main players—Connor, who loves Risa and loves to hate Lev; Risa, who loves Connor and worries about Lev; and Lev who hates everyone, but still feels like it's his duty to protect them—we also get chapters following a single mother, a cop, a guard, a pawnbroker, and even the Bluto to Connor's Popeye, a.k.a. Roland.
Why do you think Shusterman chose this perspective? Well, who else is supposed to be omniscient? God, that's who, making this an appropriate POV to employ when the nation has enacted new legislature enabling them to play God.