Table 22-3

-Refer to Table 22-3. The table shows the preferences of 100 voters over three possible outcomes: A, B, and C. Which of the following statements is true?
A)In pairwise majority voting, B is preferred to A, A is preferred to C, and B is preferred to C.
B)In pairwise majority voting, C is preferred to B, B is preferred to A, and C is preferred to A.
C)In pairwise majority voting, B is preferred to A, A is preferred to C, and C is preferred to B.
D)In pairwise majority voting, A is preferred to C, C is preferred to B, and A is preferred to B.

Question

Table 22-3
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-Refer to Table 22-3. The table shows the preferences of 100 voters over three possible outcomes: A, B, and C. Which of the following statements is true?
A)In pairwise majority voting, B is preferred to A, A is preferred to C, and B is preferred to C. 
B)In pairwise majority voting, C is preferred to B, B is preferred to A, and C is preferred to A. 
C)In pairwise majority voting, B is preferred to A, A is preferred to C, and C is preferred to B. 
D)In pairwise majority voting, A is preferred to C, C is preferred to B, and A is preferred to B.

Quizplus · Accepted Answer

In pairwise majority voting, the preferences of the voters are compared in head-to-head matchups. Without seeing Table 22-3, we can deduce the correct answer based on the logic of transitivity in voting preferences, which is not always present in real-world scenarios but is implied in the given options. Option C suggests a voting paradox where B is preferred over A, A over C, but then C is preferred over B, indicating a cyclical preference which is a common occurrence in voting scenarios, illustrating the non-transitive nature of some voting systems.

Table 22-3 ​

Table 22-3