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Schulze method
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=== Difference from ranked pairs === [[Ranked pairs]] is another [[Condorcet method]] which is very similar to Schulze's rule, and typically produces the same outcome. There are slight differences, however. The main difference between the beatpath method and [[ranked pairs]] is that Schulze retains behavior closer to [[Minimax Condorcet method|minimax]]. Say that the [[Minimax Condorcet method|minimax]] score of a set '''X''' of candidates is the strength of the strongest pairwise win of a candidate A β '''X''' against a candidate B β '''X'''. Then the Schulze method, but not ranked pairs, guarantees the winner is always a candidate of the set with minimum minimax score.<ref name="schulze20113" />{{rp|Β§4.8}} This is the sense in which the Schulze method minimizes the largest majority that has to be reversed when determining the winner. On the other hand, Ranked Pairs minimizes the largest majority that has to be reversed to determine the order of finish.<ref>Tideman, T. Nicolaus, "Independence of clones as a criterion for voting rules", Social Choice and Welfare vol 4 #3 (1987), pp. 185β206.</ref> In other words, when Ranked Pairs and the Schulze method produce different orders of finish, for the majorities on which the two orders of finish disagree, the Schulze order reverses a larger majority than the Ranked Pairs order.
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