Table 22-2 Three Longtime Friends-Fred,Barney,and Wilma-Are Deciding How They Will Spend Their

question 29

Multiple Choice

Table 22-2
Three longtime friends-Fred,Barney,and Wilma-are deciding how they will spend their Sunday afternoon.They all agree that they should do one of three things: go to a movie,go to the beach,or go to a museum.They also agree that they will have two pairwise votes to determine how to spend their evening,with the majority determining the outcome on each vote.The first,second,and third choices for each person are as indicated in the table below.

-Refer to Table 22-2.Which of the following statements is correct regarding the Condorcet paradox and the results of pairwise voting by Fred,Barney,and Wilma?

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

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