Iterated Bucklin: Difference between revisions

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== Multi-winner generalization ==

The same procedure can be generalized to the election of a number of winning candidates. At the first stage, all candidates with at least a quota of support (first preferences) are declared elected, and a quota of ~~support~~ is ~~proportionally~~ ~~subtracted~~ from the relevant ballots. The remaining places (should there be any) are filled by applying the same iterative procedure to the remaining (de-weighted) ballots to elect the next winner. Ballots are again de-weighted (with a quota of support being subtracted from all ballots having approved of the PW as of the count’s end) and the count begins again, until all eligible places are filled.

The same procedure can be generalized to the election of a number of winning candidates. At the first stage, all candidates with at least a quota of support (first preferences) are declared elected, and a [[Quota#Hare_quota | Hare quota]] of ballot weight is allocated to the winners from the relevant ballots. The remaining places (should there be any) are filled by applying the same iterative procedure to the remaining (de-weighted) ballots to elect the next winner. Ballots are again de-weighted (with a quota of support being subtracted from all ballots having approved of the PW as of the count’s end) and the count begins again, until all eligible places are filled.

=== Surplus Handling ===

If viewed as a [[Cardinal_voting_systems#Sequential_Proportional_Methods | Sequential Cardinal Method]] then [[Surplus_Handling#Fractional_Surplus_Handling | Fractional Surplus Handling]] can be used. Other mechanisms like those used in [[Single transferable vote]] are also possible.

== Ties and Cycles ==