Winner set

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A winner set is a set of candidates equal in size to the number of seats to be filled. When there is only one seat to be filled, it is customary to refer to a winner set simply as a candidate.

Winner sets feature prominently in discussions on who to elect in multi-winner bloc voting methods and proportional representation methods. Properties such as Proportionality for Solid Coalitions mandate who must be in the winning winner set, with combinatorics and set theory featuring prominently in the discussion.