Let’s return to the survey about tax refund spending from the example. We know that the Condorcet criterion applies because Option D, “Pay off debt,” is a Condorcet candidate, which wins every pairwise match up.
Use the information in the ballot summary from the table below to find the winner and determine whether the Condorcet criterion is satisfied in this election when each of the following voting methods are used.
| Votes | 33 | 32 | 31 | 4 |
| On a vacation (V) | 1 | 3 | 3 | 2 |
| Put into savings (S) | 3 | 1 | 2 | 1 |
| Pay off debt (D) | 2 | 2 | 1 | 4 |
| Other (T) | 4 | 4 | 4 | 3 |
- Plurality
- Ranked-choice voting
- Borda count
OpenStax Contemporary Mathematics, 11.2 Fairness in Voting Methods, exercise 7