13. Use the following election to show that the Hare system is manipulable:
13.
| Election 1 | |||||
| Rank | Number of voters (5) | ||||
| 1 | 1 | 1 | 1 | 1 | |
| First | |||||
| Second | |||||
| Third | |||||
| Fourth | |||||
, , and have the fewest first-place votes and are thus eliminated, leaving as the winner using the Hare system. But the winner becomes if the leftmost voter changes his or her ballot to , , , .