Two roommates John and Joe are playing a simultaneous game of cleaning the apartment. If neither of them clean, the apartment gets filthy and both get a utility of 2. If John cleans and Joe doesn't, John gets a utility of 1 and Joe gets a utility of 4. If Joe cleans and John doesn't, Joe gets a utility of 1 and John gets a utility of 4 and if both clean up the apartment, they each get a utility of 3.

If the roommates played the game repeatedly where one roommate not cleaning this time would trigger the other roommate not cleaning next time, the Nash equilibrium is most likely to be

a. John cleans, Joe doesn't

b. Joe cleans, John doesn't

c. Both of them clean

d. Neither of them clean