Table 22-9

-Refer to Table 22-9.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 22-9
 
-Refer to Table 22-9.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

To determine the preferences in pairwise majority voting, we compare the number of voters who prefer one outcome over the other in a head-to-head matchup. 
For A vs B: 47 prefer B and 53 prefer A. Therefore, A is preferred to B. 
For A vs C: 58 prefer A and 42 prefer C. Therefore, A is preferred to C. 
For B vs C: 55 prefer B and 45 prefer C. Therefore, B is preferred to C. 
Thus, the correct statement is that in pairwise majority voting, B is preferred to A, A is preferred to C, and C is preferred to B. which is described in choice C.

Table 22-9 -Refer to Table 22-9.The Table Shows the Preferences of 100