1. Consider the voting system for two candidates ( and ) and three voters in which the candidate with the fewest first-place votes wins. Produce two elections that show this voting system is manipulable.
1.
One example of two such elections is the following:
| Election 1 | |||
| Rank | Number of voters (3) | ||
| First | |||
| Second | |||
| Election 2 | |||
| Rank | Number of voters (3) | ||
| First | |||
| Second | |||