Syahmi and Kevin are roommates. Each of them prefers a clean room to a dirty room, but neither likes to clean the room. If both clean the room, they each get a payoff of 5. If one cleans and the other doesn’t clean the room, the person who does the cleaning has a utility of 0, and the person who doesn’t clean the room has a utility of 8. If neither cleans the room, the room stays a mess, and each has a utility of 1. a) Draw the extensive form and normal form representations of this game. What is
the dominant strategy solution for this game? What is the Nash equilibrium?
b) Is it correct to say that every Nash equilibrium must necessarily also be a dominant
strategy?