Smith Set Comparison
The Schwartz set is closely related to and is always a subset of the Smith set. The Smith set is larger if and only if a candidate in the Schwartz set has a pairwise tie with a candidate that is not in the Schwartz set. For example, given:
- 3 voters preferring candidate A to B to C
- 1 voter preferring candidate B to C to A
- 1 voter preferring candidate C to A to B
- 1 voter preferring candidate C to B to A
then we have A pairwise beating B, B pairwise beating C, and A tying with C in their pairwise comparison, making A the only member of the Schwartz set, while the Smith set on the other hand consists of all the candidates.
Read more about this topic: Schwartz Set
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