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(→Tabulation: Added an example election.) |
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== Tabulation == |
== Tabulation == |
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{{Definition|Elect the candidate who pairwise beats the greatest number of |
{{Definition|Elect the candidate who pairwise beats the greatest number of candidates.}} |
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==== Example election ==== |
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{{Ballots|8:Ava>Cedric>Deegan>Bianca>Eli |
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6:Ava>Bianca>Cedric>Eli>Deegan |
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6:Eli>Ava>Bianca>Cedric>Deegan |
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6:Deegan>Bianca>Cedric>Eli>Ava |
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4:Bianca>Ava>Eli>Deegan>Cedric |
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3:Eli>Deegan>Bianca>Cedric>Ava |
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2:Deegan>Eli>Bianca>Cedric>Ava}} |
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Create a [[Pairwise comparison matrix|preference matrix]] from the ballots. |
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{| class="wikitable" |
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|+ |
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Bold indicates wins, ''Italics indicates losses'' |
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|'''# of voters who prefer''' |
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|''Ava'' |
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|''Bianca'' |
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|''Cedric'' |
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|''Deegan'' |
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|''Eli'' |
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|- |
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|'''Ava over''' |
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|— |
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|''14'' |
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|'''18''' |
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|'''24''' |
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|'''18''' |
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|- |
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|'''Bianca over''' |
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|'''15''' |
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|— |
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|''4'' |
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|''10'' |
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|'''24''' |
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|- |
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|'''Cedric over''' |
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|''11'' |
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|'''8''' |
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|— |
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|''14'' |
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|'''20''' |
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|- |
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|'''Deegan over''' |
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|''11'' |
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|'''19''' |
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|'''15''' |
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|— |
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|''14'' |
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|- |
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|'''Eli over''' |
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|''17'' |
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|''11'' |
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|''15'' |
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|'''19''' |
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|— |
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|} |
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Ava pairwise beats the greatest number of candidates, 3, so she is elected as the winner. |
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== Tie-breaking mechanics == |
== Tie-breaking mechanics == |