5 40 points 10 points each Suppose that a man an whether to

5. (40 points, 10 points each) Suppose that a man an whether to go to a concert or a movie. The man pre the woman prefers the movie. What is more important to them, however, is that the man wants to show up at the same event as the woman, but the fers the concert but woman wants to avoid the man. Construct a game matrix to illustrate this game, choosing numbers to fit the preferences described verbally a. b. If the woman moves first, what will happen? c. Does the game have a first-mover advantage? both players move simultaneously, is there Nash equilibrium?

Solution

Lets say going to a favourite place gives payoff 10 and to a place less preferrable gives 5. But wanting to accompany or avoid gives player 10. That is if women get successful inavoiding the man she will get additional 10 and if not she will get -10 .

b. If woman moves first she will choose going to movie but given that she goes to movie the man will also accompanies her giviing solution of movie movie with payoffs equal (0,15).

c. No the first mover does not have first mover advantage.

d. no there is no nash equilibrium.

		man
		movie	concert
woman	movie	0,15	20,0
	concert	15,-5	-5,20