Chapter 13.2, Problem 3CP

CHECK POINT 3 An election with 120 voters and three candidates, A, B, and C, is to be decided using the plurality-with-elimination method. Table 13.17 shows the results of a straw poll. After the straw poll, 12 voters all changed their ballots to make candidate A their first choice. The results of the second election are given in Table 13.18.

TABLE 13.17 Preference Table for the Straw Vote

Number of Votes	42	34	28	16
First Choice	A	C	B	B
Second Choice	B	A	C	A
Third Choice	C	B	A	C

TABLE 13.18 Preference Table for theSecond Election
Number of Votes	54	34	28	4
First Choice	A	C	B	B
Second Choice	B	A	C	A
Third Choice	C	B	A	C

a. Using the plurality-with-elimination method, which candidate wins the first election?

b. Using the plurality-with-elimination method, which candidate wins the second election?

c. Does this violate the monotonicity criterion? Explain your answer.