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== Smith loser set ==
The Smith loser set is the smallest group of candidates such that fewer voters prefer any candidate in the group than any candidate not in the group. it can be equivalent to the Smith set; for example:<blockquote>1 A
 
1 B</blockquote>Both the Smith set and Smith loser set are (A, B). When there is a Condorcet loser, they are the only candidate in the Smith loser set.
1 A
 
Note that the Smith loser set is distinct from the set of all candidates not in the Smith set. For example: <blockquote>49 A>B
1 B
 
3 B>A
Both the Smith set and Smith loser set are (A, B). When there is a Condorcet loser, they are the only candidate in the Smith loser set.
 
48 C>B </blockquote>The Smith loser set is C, while the set of all candidates not in the Smith set is (A, C).
 
==Properties==