Question

Im not sure if I did this correctly

Q4. Use the check method to find the Nash equilibrium or equilibria (if any) in each of the following games. Fred Opera Bowling none Wilma Opera Bowling 0 0.0 0.0 29 Chuck Straight Swerve | (2,2) is the Hash oqulllbrium Straight 0.0 Ren Swerve 20

Answer 1

Here, we shall check the strategy for each of the players which would maximize the payoff of them.

a. Note that when Wilma choose Opera, the best for the Fred is to choose Opera and get 2 instead of 0, had Fred chosen Bowling. So, we shall put a check or star on 2. Similarly, when Wilma chooses Bowling, the best for Fred is to choose Bowling so a check on 5. On the other hand, when Fred chooses Opera, the best for Wilma is also Opera and in case Fred chooses Bowling, the best for Wilma is again Bowling. Since we have two sets of strategies where there are two checks or stars, and hence there are two Nash equilibrium here; (Opera, Opera) and (Bowling, Bowling)

	Opera	Bowling
Opera	5*,2*	0,0
Bowling	0,0	2*,5*

b. Same as in part a, the checks in this part will be as follows:

	Straight	Swerve
Straight	0,0	3*,1*
Swerve	1*,3*	2,2

Here also we have two Nash equilibrium or Nash equilibria as (Swerve, Straight) and (Straight, Swerve)