Voting Methods and Fairness Criteria Table and Definitions
F a i r n e s s
C r i t e r i a
(B)
Voting Methods (A)
Majority
Condorcet
Monotonicity
IIA
Plurality Method
Satisfies
Violates
See page 7,
example 1.3
Satisfies
Violates
See Table 11
below.
Alisha wins. If
Dave withdraws,
Carmen wins!
Borda Count Method
Violates
See page 11,
example 1.6
Violates
See page 11,
example 1.6
Satisfies
Violates
See page 32,
Exercise 17
Plurality with
Elimination Method
Satisfies
Violates
See page 12,
example 1.7
Violates
See page 15,
example 1.10
Violates
See page 33,
exercise 27.
Pairwise
Comparisons
Method
Satisfies
Satisfies
Satisfies
Violates
See page18,
example 1.12
Voting method A satisfies fairness criterion B
means:
If, for every election, candidate X is the winner using voting method A, then candidate X is also
the “should be” winner using fairness criterion B.
So, for every election, if the “is” candidate is the “should be” candidate, satisfies!
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 Spring '07
 Berkowitz
 Math, Candidate, Voting system, IIA, fairness criterion

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