User:BetterVotingAdvocacy/Negative vote-counting approach for pairwise counting: Difference between revisions
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=== Bucklin (number of voters giving a particular ranking to a candidate) ===
For [[Bucklin voting]] or any median-based ranked voting method, instead of counting the number of voters who ranked a candidate, you can count specifically the number of voters who ranked that candidate 1st, 2nd, etc. To tally this, count only the number of voters who ranked each candidate 1st, and if no candidate has a majority, add in the number of voters who ranked them 2nd, and repeat for 3rd, 4th, etc.
==== IRV and FPTP (1st choice-based methods) ====
A special case of counting the number of voters who give a particular ranking to a candidate are IRV and FPTP, and other [[:Category:FPTP-based voting methods|Category:FPTP-based voting methods]]. With FPTP, only the 1st choice rankings need to be counted, while with IRV, an additional complication can exist depending on which of the [[Equal-ranking methods in IRV]] is chosen:
* If whole-votes equal ranking or no equal-ranking are used, then no additional complication exists.
* If using fractional equal-ranking, it's necessary to differentiate between two voters who rank the same candidate 1st based on how many candidates total they ranked 1st. For example, the first voter would only give their 1st choice 1/3rd of a vote if they ranked 3 candidates 1st, and the second voter would give their 1st choice 1/5th of a vote if they ranked 5 candidates 1st.
With IRV, the 1st choice information collected with this approach only guarantees one knows who to eliminate in the first round; additional rounds of counting may be required, which would not involve re-doing any pairwise counts (since the pairwise preferences between two candidates can't change if a third candidate is eliminated).
== Connection to cardinal methods ==
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