In the final battle in the movie, the Dark Knight (2008), the Joker has rigged two ferries carrying people out of Manhattan Gotham to explode. One ferry carries mostly civilians with a substantial National Guard presence. The other ferry contains large numbers of prison inmates and some guards. The Joker has rigged both to explode, and he has given the crew on each boat the detonators — only they have the detonator for the other boat. He announces the rules of the game to the crew and passengers of each vessel.
- Each of them have the power to blow up the other boat and then their boat will live.
- If they get to midnight with know no exploded boats, the Joker will detonate both.
- Any attempt to leave or defuse the bombs will result in the destruction of both boats.
Is this a known variant of the prisoner's dilemma? How to model this game and what is the actual solution? Why is the equilibrium as shown in the game attained?