| Majority Criterion |
Condorcet Criterion |
Monotonicity Criterion |
Independence of Irrelevant Alternatives Criterion |
|
| Plurality Election |
Satisfies |
Fails (1992 Presidential election example) |
Satisfies |
Fails (1992 Presidential election example) |
| Borda Count |
Fails (Worksheet 1.2 example) |
Fails (Anything failing Majority Criterion must also fail Condorcet Criterion) |
Satisfies (See argument) |
Fails (See example) |
| Plurality-with-Elimination |
Satisfies (See argument) |
Fails (See exercise 33) |
Fails (Olympic Host City selection example 1.10) |
Fails (See example) (Advocates of Instant-Runoff elections will point out the failure is rare in practice.) |
| Pairwise Comparison |
Satisfies |
Satisfies (A Condorcet Candidate wins every pairwise comparison) |
Satisfies |
Fails (NFL Draft example 1.12) |
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