Complete independence of clones in the ranked pairs rule
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The “ranked pairs” voting rule introduced in Tideman [2] is independent of clones (not materially affected by the replication of a candidate) in all but a small domain of cases. Appending a particular tie-breaking rule to the ranked pairs rule generates a rule that is completely independent of clones.
[1] John G. Kemeny,et al. Mathematical models in the social sciences , 1964 .
[2] T. Tideman,et al. Independence of clones as a criterion for voting rules , 1987 .