Benham's method: Difference between revisions

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Benham's method can be thought of as a [[Tideman's Alternative methods|Tideman alternative method]] that uses the Condorcet winner as its "set". Benham's method can also be thought of as an advanced version of IRV which interprets "majority" to mean "candidate who can win a majority [[Pairwise counting|pairwise]] against all other uneliminated candidates" rather than "majority's 1st choice among all uneliminated candidates". Because the latter is always equivalent to the former (a candidate who is a majority's 1st choice is always a Condorcet winner), Benham's method will never require more rounds of counting (eliminations, ignoring the discovery of the [[Pairwise counting|pairwise counting]] table) than plain IRV, and will often require none (when there is a Condorcet winner).

Example:

34 A>B>C

32 B>A

34 C>B>A

Regular IRV eliminates B and elects A here, whereas Benham elects B for being the Condorcet winner ([[Pairwise beat|pairwise beats]] A and C 66 to 34 each). This is an example of an averted [[Center squeeze effect|center squeeze effect]].

For more information, go to the [[Woodall's_method#Benham.27s_method:|Woodall's method article]].