Editing Smith set (section)

=== Complying methods ===
The Smith criterion is satisfied by [[ranked pairs]], [[Schulze method|Schulze's method]], [[Nanson's method]], and several other methods. Moreover, any voting method can be modified to satisfy the Smith criterion, by finding the Smith set and eliminating any candidates outside of it. 

For example, the voting method Smith//Minimax applies Minimax to the candidates in the Smith set. Another example is the [[Tideman alternative method|Tideman alternative]] method, which alternates between eliminating candidates outside of the Smith set, and eliminating the candidate who was the plurality loser (similar to [[Instant-runoff voting|instant-runoff]]), until a Condorcet winner is found. A different approach is to elect the member of the Smith set that is highest in the voting method's order of finish. 

Methods failing the Condorcet criterion also fail the Smith criterion. However, some Condorcet methods (such as [[Minimax Condorcet|Minimax]]) can fail the Smith criterion.