Sequential Monroe voting: Difference between revisions
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Sequential Monroe is sequential [[Multi-Member System]] created<ref>https://www.reddit.com/r/EndFPTP/comments/auyxny/can_anyone_give_a_summary_of_multiwinner_methods/ehgkfbl/</ref> by Parker Friedland that is built on [[Score voting]]
▲Sequential Monroe is sequential [[Multi-Member System]] built on [[Score voting]] ballots. Each winner is that candidate who which highest sum of score in a [[Hare Quota]] of ballots. That Hare quota of ballots is then removed from subsequent rounds.
==Discussion==
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While the Monroe's function isn't a bad measure of [[Proportional Representation]] it is at least highly nonstandard. If you are going to use the function as a measure of how efficient a voting method is, then it is worth noting that the function does produce some logical contradictions: adding ballots that approve of all candidates being able to change which outcome Monroe's function deems the best. This property may not seem too important, but some of it's ramifications include failing the consistency criterion (i.e. the best result in multiple districts not being the best result in those districts combined). Minor logical contradictions are not that bad in voting methods as long as they don't impact the results too much and all sequential algorithms will have these anyways, but if you want a measure of the quality of an election result that you can use to text voting methods, then you want to measure the quality of an election result that avoids logical contradictions.
==Definition ==
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# Elect the candidate with the highest [[Quota |hare quota]] score
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'''Fractional Surplus Handling to break ties''': when calculating which ballots belong to a candidate's quota, if for a particular score including voters that gave that candidate that score in the quota would make the quota to large and excluding it would make it to small, exhaust a portion of those vote's weights such that the total weight of the exhausted ballots still equals the hare quota. The reason why [[Fractional Surplus Handling]] is preferred is that it preserves the [[Independence of irrelevant alternatives]] and [[Monotonicity]] criteria that Monroe's method passes).
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