Table 22-3
Three family members -- Seamus, Maeve, and Siobhan -- are deciding what type of movie to attend. The three choices are an action adventure, comedy, or horror. The first, second, and third choices for each person are as indicated in the table below.
-Refer to Table 22-3. Suppose the three decide to make the decision based on pairwise majority voting. If they first choose between Action and Comedy and then choose between the winner of the first vote and Horror, which movie alternative will win?
A)Action
B)Comedy
C)Horror
D)There is no clear winner - Comedy and Horror will tie.

Question

Table 22-3
Three family members -- Seamus, Maeve, and Siobhan -- are deciding what type of movie to attend. The three choices are an action adventure, comedy, or horror. The first, second, and third choices for each person are as indicated in the table below. 
-Refer to Table 22-3. Suppose the three decide to make the decision based on pairwise majority voting. If they first choose between Action and Comedy and then choose between the winner of the first vote and Horror, which movie alternative will win?
A)Action 
B)Comedy 
C)Horror 
D)There is no clear winner - Comedy and Horror will tie.

Quizplus · Accepted Answer

For the first vote between Action and Comedy, Seamus and Maeve both choose Action, while Siobhan chooses Comedy. Therefore, Action wins by a majority of 2-1. 
For the second vote between Action and Horror, Seamus and Maeve's first choice was Action, so they will vote for Action again. Siobhan's first choice was Comedy, which lost in the first vote, so she will vote for Horror. The vote is now tied 2-2. However, since Action was the winner in the first vote, it becomes the final choice.

Table 22-3 Three Family Members -- Seamus, Maeve, and Siobhan -- Are