In the 2008 movie The Dark Knight, there is a point at which the main villain (the Joker) rigs two ferry boats with explosives, places the detonator for each one in the other boat, and then shuts off their engines in the middle of the river. So the passengers on each boat are trapped there, and they have the ability to destroy the other boat. The Joker says that if one boat pulls the trigger, he will let that boat go free. So the people on each boat are given an incentive to destroy the other boat before the others can do the same to them (and theres a possibility that they might both pull the trigger at the same time). However, the passengers on both boats also have hope of being rescued by Batman if they wait long enough. This is a job for Game Theory! Explain the game that the Joker was trying to play here (its one of the games covered in our Game Theory chapter). Then, use Game Theory to show what we would expect to happen in this situation, if all the people involved were rational and self-interested. In the movie, the passengers on both boats chose not to pull the trigger (and of course everyone was rescued by Batman). What could motivate such a choice?

200 words minimum.