Ranked Robin: Difference between revisions
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==== Example of a ballot set that requires all 4 tie-breaking degrees: ==== |
==== Example of a ballot set that requires all 4 tie-breaking degrees: ==== |
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<blockquote> |
<blockquote> |
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10: Eli>Deegan>Ava=Cedric>Fabio |
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9: Bianca=Deegan>Eli>Cedric |
9: Bianca=Deegan>Eli>Cedric |
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4: Ava>Bianca=Fabio |
4: Ava>Bianca=Fabio |
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2: Bianca=Fabio>Ava=Eli |
2: Bianca=Fabio>Ava=Eli |
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</blockquote>Here's the preference matrix: |
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{| class="wikitable" |
{| class="wikitable" |
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|+Bold indicates wins, ''Italics indicates losses'', <u>Underline indicates ties</u> |
|+Bold indicates wins, ''Italics indicates losses'', <u>Underline indicates ties</u> |
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==== Two different ways to present the results of the same election with Condorcet Winner Ava: ==== |
==== Two different ways to present the results of the same election with Condorcet Winner Ava: ==== |
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<blockquote> |
<blockquote> |
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Ava: 54%《》Bianca: 46% |
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Ava: 59%《》Cedric: 39% |
Ava: 59%《》Cedric: 39% |
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Ava: 64%《》Eli: 22% |
Ava: 64%《》Eli: 22% |
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Ava: 64%《》Fabio: 13% |
Ava: 64%《》Fabio: 13% |
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</blockquote><blockquote> |
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Ava vs. Bianca: +8% points |
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Ava vs. Cedric: +20% points |
Ava vs. Cedric: +20% points |
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Ava vs. Eli: +42% points |
Ava vs. Eli: +42% points |
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Ava vs. Fabio: +51% points |
Ava vs. Fabio: +51% points |
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</blockquote> |
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==== Example of how to present the results of an election where the winner Ava is not a Condorcet Winner: ==== |
==== Example of how to present the results of an election where the winner Ava is not a Condorcet Winner: ==== |
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<blockquote> |
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⚫ | |||
⚫ | |||
Bianca won 3 matchups (against Ava, Eli, and Fabio) |
Bianca won 3 matchups (against Ava, Eli, and Fabio) |
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Eli won 2 matchups (against Deegan and Fabio) |
Eli won 2 matchups (against Deegan and Fabio) |
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Fabio lost all matchups |
Fabio lost all matchups |
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</blockquote><blockquote> |
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Ava vs. Bianca: -6% points |
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Ava vs. Cedric: +20% points |
Ava vs. Cedric: +20% points |
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Ava vs. Eli: +42% points |
Ava vs. Eli: +42% points |
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Ava vs. Fabio: +51% points |
Ava vs. Fabio: +51% points |
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</blockquote> |
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=== If there's a tie === |
=== If there's a tie === |
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==== Example of showing Level 4 with 3 finalists in a Condorcet cycle: ==== |
==== Example of showing Level 4 with 3 finalists in a Condorcet cycle: ==== |
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<blockquote> |
<blockquote> |
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Ava, Bianca, and Cedric are finalists. |
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Cedric's Total Advantage: +33.8% points |
Cedric's Total Advantage: +33.8% points |
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Cedric is elected!</blockquote>Note that all of the Total Advantages sum to 0. This can be used to check the math performed. |
Cedric is elected!</blockquote>Note that all of the Total Advantages sum to 0. This can be used to check the math performed. |
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==== Example of showing Level 5 with 3 finalists in a Condorcet cycle: ==== |
==== Example of showing Level 5 with 3 finalists in a Condorcet cycle: ==== |
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<blockquote> |
<blockquote> |
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Ava, Bianca, and Cedric are finalists. |
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⚫ | |||
Cedric is elected! |
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⚫ | |||
== Criteria == |
== Criteria == |