Alice and Julia want to spend time together but have different preferences for their activities. They can choose between two options: going to a soccer game or watching a football game. Alice prefers football and Julia prefers the football game, but they both prefer being together over being apart. If they both choose to attend a soccer game then Julia receives a payoff of 2 and Alice a payoff of 1. If they both choose to attend a football game, then Julia receive a payoff of 1 and Alice a payoff of 2. If one chooses a football game and the other a soccer game then they both receive a payoff of 0. The payout matrix below illustrates these payoffs. Which of the following statements are true: I. There is a dominant strategy II. A nash equilibrium exists where Alice attends a football game and Julia attends a soccer game III. A nash equilibrium exists where both friends attend a soccer game IV. Both attending a football game is a stable outcome. Alice Soccer Football Julia Soccer 2, 1 0,0 Football 0,0 1,2 O III and IV OI and II Oll only O I, II, III, and IV

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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Alice and Julia want to spend time together but have different preferences for their activities.
They can choose between two options: going to a soccer game or watching a football game.
Alice prefers football and Julia prefers the football game, but they both prefer being together
over being apart. If they both choose to attend a soccer game then Julia receives a payoff of 2
and Alice a payoff of 1. If they both choose to attend a football game, then Julia receive a
payoff of 1 and Alice a payoff of 2. If one chooses a football game and the other a soccer
game then they both receive a payoff of O. The payout matrix below illustrates these payoffs.
Which of the following statements are true:
I. There is a dominant strategy
II. A nash equilibrium exists where Alice attends a football game and Julia attends a soccer
game
III. A nash equilibrium exists where both friends attend a soccer game
IV. Both attending a football game is a stable outcome.
Alice
Soccer Football
Julia
Soccer
Football 0,0
2, 1
0,0
1, 2
O III and IV
OI and II
Oll only
O I, II, III, and IV
Transcribed Image Text:Alice and Julia want to spend time together but have different preferences for their activities. They can choose between two options: going to a soccer game or watching a football game. Alice prefers football and Julia prefers the football game, but they both prefer being together over being apart. If they both choose to attend a soccer game then Julia receives a payoff of 2 and Alice a payoff of 1. If they both choose to attend a football game, then Julia receive a payoff of 1 and Alice a payoff of 2. If one chooses a football game and the other a soccer game then they both receive a payoff of O. The payout matrix below illustrates these payoffs. Which of the following statements are true: I. There is a dominant strategy II. A nash equilibrium exists where Alice attends a football game and Julia attends a soccer game III. A nash equilibrium exists where both friends attend a soccer game IV. Both attending a football game is a stable outcome. Alice Soccer Football Julia Soccer Football 0,0 2, 1 0,0 1, 2 O III and IV OI and II Oll only O I, II, III, and IV
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