User:BetterVotingAdvocacy/Big page of ideas: Difference between revisions
User:BetterVotingAdvocacy/Big page of ideas (view source)
Revision as of 02:39, 10 July 2020
, 3 years ago→Transitivity
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One of the reasons it would be difficult to allow a voter to directly express their preference for their 1st choice>3rd choice is because they could theoretically give 1st>2nd and/or 2nd>3rd large margins, but then give 1st>3rd a small margin, which would violate rated pairwise transitivity. One way of solving this would be to allow a voter to express their 1st>3rd preference by indicating how much larger they want the margin in that matchup to be than what would be required by transitivity. So for example, if 1st>2nd: 30% and 2nd>3rd: 40%, and the voter indicates that 1st>3rd should be 20% higher than usual, then that could be interpreted as "add up 1st>2nd and 2nd>3rd to find the minimum margin transitively required for 1st>3rd (i.e. 30%+40%=70%), and then add in the voter's additional 20% preference to yield a margin of 90% for 1st>3rd."
One way to understand why, regardless of transitivity, a voter may indicate their strength of preference independently in pairwise matchups between candidates one rank apart (i.e. how you score 1st choice vs 2nd choice is totally separate from 2nd vs 3rd) is because if your 1st choice dropped out of the race, then your 2nd choice would become your new 1st choice, so you'd then want to have accurately expressed the strength of your 2nd>3rd preference.
==== Criterion compliances ====
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