Winner set: Difference between revisions
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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. |
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. |
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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]] offer suggestions as to who should be in the winning winner set, with [[combinatorics]] and [[Set theory|set theory]] featuring prominently in the discussion. |
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 [[Stable Winner Set|stability]] and [[Proportionality for Solid Coalitions]] offer suggestions as to who should be in the winning winner set, with [[combinatorics]] and [[Set theory|set theory]] featuring prominently in the discussion. |
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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 |
[[Multi-member_system#Sequential_proportional_methods | 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 the same nubmer of winner sets as candidates. [[Multi-member system]] systems must use the [[ W:Combination | combinatorial choose method]] as in "number of candidates'''''choose'''''<ref>https://mathworld.wolfram.com/Choose.html</ref> number of winners". For example, with 10 candidates and 3 winners, there are 120 possible winner sets since 10 choose 3 =120. |
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[[Category:Proportionality-related concepts]] |
[[Category:Proportionality-related concepts]] |
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