Those seven college students are hungry again! Their preferences haven’t changed, as shown below. Let’s calculate if the results change when we use different voting methods.
| VOTERS | A | B | C | D | E | F | G |
| (M) McDonald’s | 1 | 1 | 1 | 1 | 5 | 5 | 5 |
| (B) Burger King | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| (T) Taco Bell | 4 | 4 | 3 | 4 | 3 | 3 | 1 |
| (O) Pollo Tropical | 3 | 5 | 4 | 3 | 4 | 1 | 3 |
| (I) Pizza Hut | 5 | 3 | 5 | 5 | 1 | 4 | 4 |
- Which restaurant is the winner using the pairwise comparison voting method?
- Which restaurant is the winner using the Borda count voting method?
- Does the majority criterion apply? If so, for which voting method(s), if any, did the majority criterion fail?
OpenStax Contemporary Mathematics, 11.2 Fairness in Voting Methods, exercise 3