Recall the ferry scene from Christopher Nolan’s The Dark Knight. (The movie is on Netflix. A clip can be found on Youtube here.) In this scene, the Joker constructs a “social experiment” between two groups of people which we can model using game theory.1. Who are the players of the “ferry” game?
2. What are the players’ strategies?
3. Construct what the Joker believes to be the payoff matrix. (You can just make up some sensible payoffs, e.g. dying yields a payoff of -1). Is there a dominant strategies equilibrium? Is there a Nash equilibrium
