User:Psephomancy/Three tribes: Difference between revisions
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== Longer version ==
Let's say there's a nation with three tribes in it (A, B, and C), who haven't been getting along. They're voting for mayor, and a candidate from each tribe runs. There's also a fourth-party candidate who is respected by all of the tribes, but no one's favorite. Their
* Tribe A:
** 100 people
**
* Tribe B:
** 100 people
**
* Tribe C:
** 101 people
**
Candidate D is everyone's second favorite, but nobody's favorite. If a binary election were held between only A and D, D would win by a landslide (67% to 33%), since 2 out of 3 tribes prefer them. Likewise, D would win if
▲If a binary election were held between only A and D, D would win by a landslide (67% to 33%), since 2 out of 3 tribes prefer them. Likewise, if D ran against only B. Likewise if D ran against only C. D is, therefore, the [[Condorcet winner]], or "beats-all winner".
If instead of rankings, you asked each tribe ''how much'' they liked each candidate, they would give their own tribe's candidate the highest rating, candidate D a high rating, and the other tribes' candidates the lowest rating. So D would have the highest overall approval rating (
So D is both the [[Condorcet winner|most-''preferred'' candidate]] and the [[Utilitarian winner|most-''approved'' candidate]].
Yet, if this nation used
* [[First Past the Post electoral system|First Past the Post / Plurality]]
* [[Runoff voting|Runoff voting / Two-Round System]] / [[W:Nonpartisan blanket primary|Jungle primary]]
** [[W:Contingent vote|Contingent vote]] (instant version of T2R) / [[Supplementary Vote]]
* [[Instant-runoff voting|Instant-runoff voting / Ranked-Choice Voting / The Alternative Vote]]
** [[W:Exhaustive ballot|Exhaustive ballot]] (non-instant version of IRV)
All of these systems would then eliminate A and B, leaving C as the winner (by 1 vote), despite 2/3 of the population listing C ''last'' on their ballots.
Is this a good result? Is this democratic? Will relations between the tribes become better or worse after C wins? Which candidate was the best representative of the nation as a whole?
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