Bucklin voting: Difference between revisions

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m (Remove "multi-winner voting methods" because this article is about single-winner Bucklin)
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In the above example, Memphis voters have the most first place votes and might not offer a second preference in hopes of winning, but this attempted strategy fails because they are not a second favorite from competitors.
 
== Notes ==
Example where the [[Condorcet winner]] and Bucklin winner diverge:<blockquote>40 B>A>V
 
20 V>B
 
40 C>Z>V</blockquote>The Bucklin winner is B with 60 votes at the 2nd rank, while the Condorcet winner is V (V [[Pairwise counting|pairwise beats]] A, B, C, and Z with 60 votes to 40.)
 
Clone-proofness failure:<blockquote>
{| class="wikitable"
!Number
!Ballots
|-
|48
|A>C
|-
|40
|B>D>A
|-
|3
|C
|-
|9
|C>A
|}
Here, nobody has a majority in the first preferences, so when the next rankings are added in, C wins in both Bucklin and ER-Bucklin.
 
Create a clone of C, C'
{| class="wikitable"
!Number
!Ballots
|-
|24
|A>C>C'
|-
|24
|A>C'>C
|-
|40
|B>D>A
|-
|3
|C>C'
|-
|9
|C>C'>A
|}
A wins, having attained a majority on the third preferences (exceeding both C and C') in both Bucklin and ER-Bucklin.<ref>https://www.reddit.com/r/EndFPTP/comments/eyjlja/the_new_hampshire_libertarian_primary_used_a/fgjpa4p/</ref></blockquote>
 
== See also ==