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: ====
<blockquote>10: Eli>Deegan>Ava=Cedric>Fabio
<blockquote>


10: Eli>Deegan>Ava=Cedric>Fabio


9: Bianca=Deegan>Eli>Cedric
9: Bianca=Deegan>Eli>Cedric
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4: Ava>Bianca=Fabio
4: Ava>Bianca=Fabio


2: Bianca=Fabio>Ava=Eli</blockquote>Here's the preference matrix:
2: Bianca=Fabio>Ava=Eli

</blockquote>Here's the preference matrix:
{| class="wikitable"
{| class="wikitable"
|+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: ====
<blockquote>Ava: 54%《》Bianca: 46%
<blockquote>


Ava: 54%《》Bianca: 46%


Ava: 59%《》Cedric: 39%
Ava: 59%《》Cedric: 39%
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Ava: 64%《》Eli: 22%
Ava: 64%《》Eli: 22%


Ava: 64%《》Fabio: 13%</blockquote><blockquote>Ava vs. Bianca: +8% points
Ava: 64%《》Fabio: 13%

</blockquote><blockquote>


Ava vs. Bianca: +8% points


Ava vs. Cedric: +20% points
Ava vs. Cedric: +20% points
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Ava vs. Eli: +42% points
Ava vs. Eli: +42% points


Ava vs. Fabio: +51% points</blockquote>
Ava vs. Fabio: +51% points

</blockquote>


==== 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: ====
<blockquote>
<blockquote>Ava won 4 matchups (against Cedric, Deegan, Eli, and Fabio)


Ava won 4 matchups (against Cedric, Deegan, Eli, and Fabio)


Bianca won 3 matchups (against Ava, Eli, and Fabio)
Bianca won 3 matchups (against Ava, Eli, and Fabio)
Line 169: Line 187:
Eli won 2 matchups (against Deegan and Fabio)
Eli won 2 matchups (against Deegan and Fabio)


Fabio lost all matchups</blockquote><blockquote>Ava vs. Bianca: -6% points
Fabio lost all matchups

</blockquote><blockquote>


Ava vs. Bianca: -6% points


Ava vs. Cedric: +20% points
Ava vs. Cedric: +20% points
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Ava vs. Eli: +42% points
Ava vs. Eli: +42% points


Ava vs. Fabio: +51% points</blockquote>
Ava vs. Fabio: +51% points

</blockquote>


=== 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: ====
<blockquote>Ava, Bianca, and Cedric are finalists.
<blockquote>


Ava, Bianca, and Cedric are finalists.




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Cedric's Total Advantage: +33.8% points
Cedric's Total Advantage: +33.8% points


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.


==== Example of showing Level 5 with 3 finalists in a Condorcet cycle: ====
==== Example of showing Level 5 with 3 finalists in a Condorcet cycle: ====
<blockquote>Ava, Bianca, and Cedric are finalists.
<blockquote>


Ava, Bianca, and Cedric are finalists.




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Cedric is elected!</blockquote>In the rare case of a '''2<sup>nd</sup> Degree''' tie and there are many candidates, it is recommended to focus on who the tied finalists are and their Total Advantages over all other candidates (which will not sum to 0).
Cedric is elected!

</blockquote>In the rare case of a '''2<sup>nd</sup> Degree''' tie and there are many candidates, it is recommended to focus on who the tied finalists are and their Total Advantages over all other candidates (which will not sum to 0).


== Criteria ==
== Criteria ==