Smith set: Difference between revisions
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(However, the definitions should be used cautiously when the voting method does not allow a vote to contain the voter's order of preference, because the pairwise comparisons will undercount voters and thus be misleading.)
The "Sincere Smith set", (also mentioned below on this page) is the basis for a definition of the Smith Criterion that is applicable to all voting systems, including Plurality and Approval.
Definition of sincere Smith set:
{{definition|
X is socially preferred to Y if more voters prefer X to Y than prefer Y to X.
The sincere Smith set is the smallest set of candidates such that every candidate in the set is socially preferred to every candidate outside the set.
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Smith Criterion:
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