Question: 5. Practice with game boxes. Find the Nash equilibrium (or equilibria) in the following payoff matrices. Also, identify if either player has a dominant strategy.

5. Practice with game boxes. Find the Nash equilibrium (or equilibria) in the following payoff matrices. Also, identify if either player has a

dominant strategy. a) Jordan Casey Hockey Opera (Casey, Jordan) (Casey, Jordan) Hockey

(5, 10) (3, 2) Opera (1, 0) (4, 1) i) Nash equilibrium

5. Practice with game boxes. Find the Nash equilibrium (or equilibria) in the following payoff matrices. Also, identify if either player has a dominant strategy. a) Jordan Casey Hockey Opera (Casey, Jordan) (Casey, Jordan) Hockey (5, 10) (3, 2) Opera (1, 0) (4, 1) i) Nash equilibrium Does Casey have a dominant strategy? (Yes / No) a. If yes, what is their dominant strategy? iii) Does Jordan have a dominant strategy? (Yes / No) a. If yes, what is their dominant strategy? b) Jordan Casey Hockey Opera (Casey, Jordan) (Casey, Jordan) Hockey (7, 7) (8, 1) Opera (1, 8) (3, 3) i) Nash equilibrium ii) Does Casey have a dominant strategy? (Yes / No) a. If yes, what is their dominant strategy? ii) Does Jordan have a dominant strategy? (Yes / No) a. If yes, what is their dominant strategy?Hockey Opera Case Jordan Case Jordan 1, 3 3, 3 i} Nash equilibrium ii) Does Casey have a dominant strategy? (Yes I No] a. If yes, what is their dominant strategy? iii) Does Jordan have a dominant strategy? (Yes/ No} a. If yes, what is their dominant strategy? More game scenarios you enter payoffs into matrices then solve: Classic "battle of the sexes" . Casey and Jordan are deciding on going to the opera or the hockey game. It is a big game, and the last night of the opera, and they each just found out they can get tickets if they can agree on where to go. For Casey, the payoff from going out with Jordan is 10 for hockey and 4 for opera. For Jordan, the payoff from going out with Casey is 4 for hockey and 10 for opera. For both Casey and Jordan, the payoff of going to either activity alone, is 2. a) Enter the payoffs in the matrix below. Hockey Opera (Casey, Jordan) (Casey, Jordan) b) Identify the Nash equilibrium (or equilibria). c) Casey gets the idea thatJordan can buy dinner if they go to the Hockey game, and will go to dinner anyway iflordan goes to the Opera alone. - How large an extra payoff must the dinner give Jordan to ensure that (Hockey , Hockey] is the only Nash equilibrium (and Jordan is not indifferent between the two activities]

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