Ranked preference approval voting: Difference between revisions

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* Sort the candidates in descending order of approval, and take the top three approved candidates. (A = approval winner, B = approval runner-up, C = approval third place)

* Use rankings to form a pairwise matrix for those three candidates.

** If a ballot ~~rates~~ candidate X higher than candidate Y, X receives a vote in the pairwise X-Y contest, and visa-versa.

** If a ballot places candidate X on a higher (lower number) tier than candidate Y, X receives a vote in the pairwise X-Y contest, and visa-versa. For example, if Alice is given a ranking of 3rd-tier, while Bob is given a ranking of 5th-tier, Alice receives a vote in the Pairwise(Alice,Bob) contest. The number of tiers in between is not important, only the relative higher/lower position.

* The winner is the pairwise winner of the highest approved candidate versus the pairwise winner between the second and third most approved candidates wins the election. In other words, T3-winner = PW(A, PW(B,C))

* The T3 winner is the pairwise winner of the highest approved candidate ("A") versus the pairwise winner between the second ("B") and third ("C") most approved candidates wins the election. In other words, T3-winner = PW(A, PW(B,C)).

* If the T3 winner is not the Approval winner ("A"), find the pairwise winner between A and the pairwise loser of B vs C in order to determine the T3 runner-up and third-place.

====Smith//Approval====