Independence of clone alternatives: Difference between revisions

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{{rename|from=Independence of clone alternatives|to=Independence of clones criterion}}

In [[voting system]]s theory, the '''independence of clones criterion''' measures an election method's robustness to [[strategic ~~nmination~~]]. [[Nicolaus Tideman]] was the first to formulate this criterion, which states that the winner must not change due to the addition of a non-winning candidate who is similar to a candidate already present.<ref name="Tideman1987">{{cite journal | last=Tideman | first=T. N. | title=Independence of clones as a criterion for voting rules | journal=Social Choice and Welfare | publisher=Springer Science and Business Media LLC | volume=4 | issue=3 | year=1987 | issn=0176-1714 | doi=10.1007/bf00433944 | pages=185–206 | url=https://www.condorcet.vote/view/DOCS/IndependenceofClones.pdf}}</ref>

In [[voting system]]s theory, the '''independence of clones criterion''' measures an election method's robustness to [[strategic nomination]]. [[Nicolaus Tideman]] was the first to formulate this criterion, which states that the winner must not change due to the addition of a non-winning candidate who is similar to a candidate already present.<ref name="Tideman1987">{{cite journal | last=Tideman | first=T. N. | title=Independence of clones as a criterion for voting rules | journal=Social Choice and Welfare | publisher=Springer Science and Business Media LLC | volume=4 | issue=3 | year=1987 | issn=0176-1714 | doi=10.1007/bf00433944 | pages=185–206 | url=https://www.condorcet.vote/view/DOCS/IndependenceofClones.pdf}}</ref>

To be more precise, a subset of the candidates, called a set of clones, exists if no voter ranks any candidate outside the set between (or equal to) any candidates that are in the set. If a set of clones contains at least two candidates, the criterion requires that deleting one of the clones must not increase or decrease the winning chance of any candidate not in the set of clones.