Winner set: Difference between revisions

no edit summary
(Created page with "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 simpl...")
 
No edit summary
Line 1:
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|bloc voting]] methods and [[Proportional representation|proportional representation]] methods. Properties such as [[Proportionality for Solid Coalitions]] mandateoffer suggestions as to who mustshould be in the winning winner set, with [[combinatorics]] and [[Set theory|set theory]] featuring prominently in the discussion.
 
Sequential proportional voting methods elect a winner set one candidate at a time, while optimal proportional methods involve evaluating every possible winner set. In the single-winner case, there are only [number of candidates] winner sets, but there are exponentially more winner sets with more winners. For example, with 10 candidates and 3 winners, there are 120 possible winner sets.
[[Category:Proportionality-related concepts]]