Question

Question Completion Status: QUESTION 7 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 Wash the dishes (0,2) You (-1,-1) Study for final exams 2.0) Is there a dominant strategy? If yes, which one is that? Yos; studying for final in the dominant strategy Yes, washing the dishes in the dominant strategy Yes, but depends on the situation. No, there is no dominant strategy QUESTION 8 Continue with the previous question. What is (ar) the nash equilibrium equilibria? Wash the fishes, study for the final exams) and (study for the finals, wash the dishes) (Stady for final study for finals Wash the dishes, wash the dishes There exists no Nash equilibrium in this game. Click Save and Submit to send submit. Click Save All Arses to all answers

Answer 1

(7)

		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)

Note: In each cell, first number indicates the payoff of You and Second number indicates the payoff of Your Roommate.

Best repsponse Strategy of You

If Your Roommate choose "Wash the dishes", then You Should choose " Study for final exams" in order to maximize payoff.

If Your Roommate choose "Study for final exams", then You Should choose " Wash the dishes" in order to maximize payoff.

Hence, the best response strategy of You is changing as the Your Roommate strategy changes. It means You does not have dominant strategy.

Best response Strategy of Your Roommate.

If You choose "Wash the dishes", then Your Roommate Should choose " Study for final exams" in order to maximize payoff.

If You choose "Study for final exams", then Your Roommate Should choose " Wash the dishes" in order to maximize payoff.

Hence, the best response strategy of Your Roommate is changing as the You strategy changes. It means Your Roommate does not have dominant strategy.

Thus, there is no dominant strategy

Answer: Option (D)

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(8)

		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)

The sign * indicates the payoff of best response strategy of corresponding player in response to other palyer strategy.

The cell with two * mark is the nash equilibrium of this game.

Hence, there are two nash equilibrium:

i.e., (Study for final exams, Wash the disahes)

and (Wash theh dishes, Study for final exams)

Answer: Option (A)