Question

You and your roommate share the same kitchen with no dishwasher. The sink is getting full as both you and your roommate are piling dirty dishes there. You prefer to let your roommate wash the dishes, so that you can study for the finals and free ride on your roommate’s labor. However, your roommate also prefers that you wash the dishes so that she could study. Unfortunately, if neither of you wash the dishes, the kitchen will start to stink, and roaches will come and infest your rental space. The payoff matrix is displayed as follows:

Your roommate
		Wash the dishes	Study for final exams
You	Wash the dishes	(1, 1)	(0, 2)
	Study for final exams	(2, 0)	(-1, -1)

Is there a dominant strategy? If yes, which one is that?

		Yes; studying for finals is the dominant strategy.
		Yes; washing the dishes is the dominant strategy.
		Yes, but it depends on the situation.
		No, there is no dominant strategy.

1. Continue with the previous question. What is (are) the nash equilibrium (equilibria)?

   		(Wash the fishes, study for the final exams) and (study for the finals, wash the dishes)
   		(Study for finals, study for finals)
   		(Wash the dishes, wash the dishes)
   		There exists no Nash equilibrium in this game.

Answer 1