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Multi member systemsvoting methods, also called multi winner systemsmethods, are systemsvoting methods which elect multiple people in one election. In the context of multi-member systemsmethods, they are defined to be proportional if the [[Hare Quota Criterion]] is satisfied. This is not meant to imply anything about [[Proportional representation|Proportional Representation]]. It is common for several of these systemsvoting methods to be combined into a [[Regional System]].
==[[Block voting | Bloc SystemsVoting Methods]]==
Bloc Systemsmethods electfind allthe memberscandidate atset oncewith underthe most support or the most votes overall using the same metric which would be used in a [[Singlehttps://electowiki.org/wiki/Single_Member_system Membersingle member system]]. The number of seats up for election is determined and the top candidates are elected to fill those seats.
Common examples:
* '''Bloc Approval Voting''': Each voter chooses (no ranking) as many candidates as desired. Only one vote is allowed per candidate. Voters may not vote more than once for any one candidate. Add all the votes. Elect the candidates with the most votes until all positions are filled.
* '''Bloc PluralityScore Voting''': Each voter choosesscores asall manythe candidates ason therea arescale seatswith tothree beor electedmore units. Starting the scale at zero is preferable. Add all the votesscores. Elect the candidates with the mosthighest total votesscore until all positions are filled.
* '''Bloc ScoreSTAR Voting''': Each voter scores all the candidates on a scale withfrom three0-5. orAll morethe units.scores Startingare added and the scaletwo athighest zeroscoring iscandidates preferableadvance to an automatic runoff. AddThe allfinalist who was preferred by (scored higher by) more voters wins the votesfirst seat. ElectThe thenext two highest scoring candidates then runoff, with the highestfinalist scorespreferred by more voters winning the next seat. This process continues until all positions are filled.
*'''[https://electowiki.org/wiki/Cumulative_voting Cumulative Voting:]''' In this system, a voter facing multiple choices is given X number of ''points''. The voter can then assign his points to one or more of the choices, thus enabling one to weight one's vote if desired. This could be achieved through a normalized [[Ratings ballot|ratings ballot]], or through multiple [[Plurality ballot|plurality ballots]], one per each point allocated. Typically, each voter will have as many votes as there are winners to be selected.
* [[Cumulative voting]]
==Sequential Systems[[Proportional representation|Proportional]] Methods==
Sequential Cardinal Methods elect winners one at a time in sequence using a candidate selection method and a reweighting mechanism. The single-winner version of the selection is applied to find the first winner, then a reweighting is applied before the selection of the next and subsequent winners. A reweighting is applied to either the ballot or the scores for the ballot itself. The purpose of the reweighting phase is to ensure that the [[Proportional representation|Hare Quota Criterion]] is met to ensure proportional election outcomes.
Sequential systems elect winners via a repeated two step process of selection and ballot reweighting. The purpose of the reweighting is to fulfill Hare Quota Criterion.
Common examples:
* [[Single non-transferable vote]]
==Optimal SystemsMethods==
Optimal systemsmethods elect all members by the optimization of a quality function.
Common examples:
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