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Scenario 22-3 Three Candidates, Frank, Brian, and Wanda, Are Running for Office

Question 217

Multiple Choice

Scenario 22-3
Three candidates, Frank, Brian, and Wanda, are running for office. There are three voters in the upcoming election: Henry, Diane, and Linda. Henry prefers Brian over Frank and Frank over Wanda. Diane prefers Wanda over Brian and Brian over Frank. Linda prefers Frank over Brian and Brian over Wanda.
-Refer to Scenario 22-3.Which of the following statements is correct regarding the Condorcet paradox and the results of pairwise voting by Henry,Diane,and Linda?


A) The paradox implies that pairwise voting never produces transitive preferences, and so the voting by Henry, Diane, and Linda fails to produce transitive preferences.
B) The paradox implies that pairwise voting sometimes (but not always) produces transitive preferences, and the voting by Henry, Diane, and Linda does produce transitive preferences.
C) The paradox implies that pairwise voting sometimes (but not always) fails to produce transitive preferences, and the voting by Henry, Diane, and Linda fails to produce transitive preferences.
D) The paradox does not apply to the case at hand, because Henry's preferences are not individually transitive.

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