Janet and Marty are dating. The couple would prefer to spend time with each other over being alone, but each person has a different preference on what they would rather do together. Janet would prefer to see a movie with Marty, but Marty prefers going bowling with Janet. The payoffs for Janet and Marty are the following: - If Janet and Marty both see a movie, Janet's payoff is 2 and Marty's payoff is 1.
- If Janet and Marty both go bowling, Janet's payoff is 1 and Marty's payoff is 2.
- If Janet does either activity while Marty does the other, both Janet and Marty receive a payoff of 0.
Identify any Nash equilibria that exist.
a. (Janet goes bowling, Marty goes bowling).
b. (Janet sees a movie, Marty goes bowling).
c. (Janet goes bowling, Marty sees a movie).
d. (Janet sees a movie, Marty sees a movie).