Cardinal voting systems: Difference between revisions

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===Sequential Systems===

Sequential Cardinal Systems can be defined by a selection and a ~~reweigting~~ mechanism. Fist the selection is applied to find the first winner then the ~~rewiegting~~ before the selection again to find the next winner. The selection system is similar to an aggregation method but it need not select by the maximum of that aggregation alone and can be more complicated. A ~~reweigting~~ is applied to either the ballot or the scores for the ballot itself. The purpose of the ~~rewiegting~~ phase is to ensure that the [[Proportional representation| Hare Quota Criterion]]

Sequential Cardinal Systems can be defined by a selection and a reweighting mechanism. Fist the selection is applied to find the first winner then the reweighting before the selection again to find the next winner. The selection system is similar to an aggregation method but it need not select by the maximum of that aggregation alone and can be more complicated. 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]]

{| class="wikitable"

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! System !! Gradation !! Selection !! Reweight

|-

| [[Reweighted Range Voting] || > 2 || [[Utilitarian winner | Sum]] || [[Jefferson method]]

| [[Reweighted Range Voting]] || > 2 || [[Utilitarian winner | Sum]] || [[Jefferson method]]

|-

| [~~https~~:~~//en.wikipedia.org/wiki/Sequential_proportional_approval_voting~~ Sequential ~~Proportional~~ ~~Approval~~ ~~Voting~~] || [[Approval Voting | Binary]] || - || -

| [[w:Sequential proportional approval voting|Sequential proportional approval voting]] || [[Approval Voting | Binary]] || - || -

|-

| [[Proportional approval voting]] || [[Approval Voting | Binary]]|| - || -