# Uncovered set

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Revision as of 14:53, 16 February 2005 by DanKeshet (talk | contribs) (from markus and bruce's emails)

The **uncovered set** is defined for a set of rank-order preferences. Usually, the uncovered set is defined only for situations without pairwise ties. When there are no pairwise ties, then the uncovered set is identical to the set called **Fishburn winners**:

- Select the candidate or candidates that are not Fishburn losers. A candidate
*i*is a Fishburn loser if there is some other candidate*j*such that every candidate that pairwise beats*j*also pairwise beats*i*and there is at least one candidate that pairwise beats*i*but does not pairwise beat*j*.