Uncovered set: Difference between revisions
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The uncovered set can be thought of as requiring its candidates to have a two-step beatpath to every candidate not in the uncovered set. The Smith set requires a one-step beatpath (i.e. of at most two candidates, a direct pairwise victory).
The uncovered set implies [[Pareto]], because Pareto implies that the Pareto-dominant candidate pairwise beats any candidates the Pareto-inferior candidate beats. This is because all voters rank the Pareto candidate equal to or better than the Pareto-inferior candidate. <ref>{{Cite web|url=https://www.researchgate.net/publication/225729286_Alternate_Definitions_of_the_Uncovered_Set_and_Their_Implications|title=Alternate Definitions of the Uncovered Set and Their Implications|last=|first=|date=|website=|url-status=live|archive-url=|archive-date=|access-date=}}</ref>
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