3.4 Bernie and Leona were arrested for money laundering and were interrogated separately by the police. Bernie and Leona were each presented with the following independent offers. If one confesses and the other doesn't, the one who confesses will go free and the other will receive a 20-year prison sentence; if both confess, each will receive a 10-year prison sentence. Bernie and Leona both know that without any confessions, the police only have enough evidence to convict them of the lesser crime of tax evasion, and each would then receive a 2-year prison sentence. a. Use the information to construct a payoff matrix for Bernie and Leona. b. What is the dominant strategy for Bernie and for Leona? Why? c. Based on your response to the previous question, what prison sentence will each receive?
3.4 Bernie and Leona were arrested for money laundering and were interrogated separately by the police. Bernie and Leona were each presented with the following independent offers. If one confesses and the other doesn't, the one who confesses will go free and the other will receive a 20-year prison sentence; if both confess, each will receive a 10-year prison sentence. Bernie and Leona both know that without any confessions, the police only have enough evidence to convict them of the lesser crime of tax evasion, and each would then receive a 2-year prison sentence. a. Use the information to construct a payoff matrix for Bernie and Leona. b. What is the dominant strategy for Bernie and for Leona? Why? c. Based on your response to the previous question, what prison sentence will each receive?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:3.4
Bernie and Leona were arrested for money laundering and were
interrogated separately by the police. Bernie and Leona were
each presented with the following independent offers. If one
confesses and the other doesn't, the one who confesses will go
free and the other will receive a 20-year prison sentence; if both
confess, each will receive a 10-year prison sentence.
Bernie and Leona both know that without any confessions, the
police only have enough evidence to convict them of the lesser
crime of tax evasion, and each would then receive a 2-year
prison sentence.
a. Use the information to construct a payoff matrix for
Bernie and Leona.
b. What is the dominant strategy for Bernie and for
Leona? Why?
c. Based on your response to the previous question, what
prison sentence will each receive?
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