Talk:Instant-runoff voting: Difference between revisions

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== Variants: ways of dealing with equal rankings (see STV page) ==
== Variants: ways of dealing with equal rankings (see STV page) ==


For discussion, I offer this alternative. The following example (amending the example given) clearly shows how my improvement of IRV deals with equal rankings using [[Random Voter Hierarchy]] (RVH) which is described on the IRV page as "Randomly determine a strict ordering of the candidates and when selecting a candidate to eliminate, pick one based on this strict ordering". I would also apply this ordering in dealing with equal rankings.
For discussion, I offer this alternative. The given example shows how my improvement of IRV deals with equal rankings using [[Random Voter Hierarchy]] (RVH) which is described on the IRV page as "Randomly determine a strict ordering of the candidates and when selecting a candidate to eliminate, pick one based on this strict ordering". I would also apply this ordering in dealing with equal rankings and cyclical ties.


45 A=C>B
The result changes as C reaches the border of a majority, going from a three way cyclical tie to a win by C.



15 A>C>B

30 A=C>B


35 B>A>C
35 B>A>C
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20 C>B>A
20 C>B>A


With C having the better rank in RVH, C wins.

With A having the better rank, it is a three way cyclical tie which will also need a RVH to decide who wins.

With C claiming the better rank in RVH, C wins.
With A claiming the better rank, it is a three way cyclical tie which will also need a RVH to decide who wins.




In the other example given on “Ways to deal with equal ranking”
In the other example given on “Ways to deal with equal ranking”



34 A=B=C
34 A=B=C
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33 E
33 E




The winner is whichever of A, B or C claims the best ranking in the RVH.
The winner is whichever of A, B or C claims the best ranking in the RVH.