Question 10.45

15. Use the following election to show that sequential pairwise voting is manipulable. (Assume that the agenda is , , and .)

15.

Election 1
Rank Number of voters (3)
1 1 1
First
Second
Third

Thus, is the winner with sequential pairwise voting and the agenda , , . But the winner becomes if the leftmost voter changes his or her ballot to , , .