In Batman begins it was "The Trolley Problem" in Dark Knight it was "Prisoner's dilemma" and do you think in the third and last installment Nolan has represented Plato's allegory of cave ?
I can see similarities between the allegory and film in terms of the populace being blind to the so-called "truth" of the world until Bane forces it upon them; even that though is like an inversion of the cave situation, I would suggest. Apart from that though, I'm not sure that I see the correlation, unless you're suggesting that Batman himself is the guy in the cave (not literally the Batcave). Was there anything specific that made you think that's what Nolan was going for?
I believe Jonathan Nolan stated that he specifically looked to Charles Dickens' "A Tale Of Two Cities" for inspiration.<p>Admittedly, I haven't read "A Tale Of Two Cities", and it's been years since I read "The Allegory of the Cave", so I'm not in the best position to comment on any similarities or comparisons.