The local animal shelter is having a vote-by-donation charity event. For a $10 donation, an individual can complete a ranked ballot indicating their favorite large dog breed: standard poodle, golden retriever, Labrador retriever, or bulldog. Use the summary of ballots below to answer each question.
| Votes | 42 | 53 | 61 | 24 |
| (S) Standard Poodle | 1 | 3 | 2 | 1 |
| (G) Golden Retriever | 3 | 1 | 4 | 4 |
| (L) Labrador Retriever | 4 | 2 | 1 | 2 |
| (B) Bulldog | 2 | 4 | 3 | 3 |
- Determine the winner of the election by plurality.
- Suppose that the 53 voters in the second column increased their ranking of the winner by 1. Determine the winner by plurality with the new rankings.
- Does this election violate the monotonicity criterion?
- Do you think the result of part 3 is also true for plurality voting and the monotonicity criterion in general? Why or why not?
OpenStax Contemporary Mathematics, 11.2 Fairness in Voting Methods, exercise 9