Abstract
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.
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References
Kemeny JG, Snell JL (1962) Mathematical models in the social sciences. MIT Press, Cambridge
Tideman TN (1987) Independence of clones as a criterion for voting rules. Soc Choice Welfare 4: 185–206
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Zavist, T.M., Tideman, T.N. Complete independence of clones in the ranked pairs rule. Soc Choice Welfare 6, 167–173 (1989). https://doi.org/10.1007/BF00303170
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DOI: https://doi.org/10.1007/BF00303170