- Mixed Strategies, the Auditing Game, and the Ramifications of Guilt,. Suppose the person feels somewh uilty when she chooses Cheat. We represent this feeling of guilt by saying that the person's payoff when she hooses Cheat (whether she is audited or not) falls by $20. The modified game is given below. Government 1-9 Audit Not Audit Person

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Chapter8: Market Failure
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2. Mixed Strategies, the Auditing Game, and the Ramifications of Guilt, Suppose the person feels somewhat
guilty when she chooses Cheat. We represent this feeling of guilt by saying that the person's payoff when she
chooses Cheat (whether she is audited or not) falls by $20. The modified game is given below.
Government
1-9
Audit
Not Audit
Person
p Cheat
-80, 240
180, 0
1-p Pay
-10, 190
0, 200
(2.A) Find the value of q at which the person is indifferent between choosing cheating and paying. In finding the
mixed strategy for the government, show your work. Also, what are the implications for government policy? Does
the probability of a government audit go up or down?
(2.B) Find the mixed strategy for the person that makes the government indifferent between auditing and not
auditing. Given the changes in the person's payoffs, are there any resulting implications or changes in her behavior
that are a result of her guilt?
(2.C) Explain your answer in (2.B)
Transcribed Image Text:2. Mixed Strategies, the Auditing Game, and the Ramifications of Guilt, Suppose the person feels somewhat guilty when she chooses Cheat. We represent this feeling of guilt by saying that the person's payoff when she chooses Cheat (whether she is audited or not) falls by $20. The modified game is given below. Government 1-9 Audit Not Audit Person p Cheat -80, 240 180, 0 1-p Pay -10, 190 0, 200 (2.A) Find the value of q at which the person is indifferent between choosing cheating and paying. In finding the mixed strategy for the government, show your work. Also, what are the implications for government policy? Does the probability of a government audit go up or down? (2.B) Find the mixed strategy for the person that makes the government indifferent between auditing and not auditing. Given the changes in the person's payoffs, are there any resulting implications or changes in her behavior that are a result of her guilt? (2.C) Explain your answer in (2.B)
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