Equally Weighted Vote: Difference between revisions

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(Added additional details on Test of Balance, quoted from its inventor Mark Frohnmayer.)
m (→‎Equal Vote Criterion: Clarified that the test of balance is for single-winner methods and added some clarifications to the vote unitiarity section to reflect upcoming edits to that page and maintain consistancy.)
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=== Equal Vote Criterion ===
=== Equal Vote Criterion ===
Otherwise known as the Equality Criterion. Any voting method or election which passes the Test of Balance passes the [[Equal Vote Criterion]] and can be said to guarantee an [[Equally Weighted Vote]].
Otherwise known as the Equality Criterion. Any single-winner voting method or election which passes the Test of Balance passes the [[Equal Vote Criterion]] and can be said to guarantee an [[Equally Weighted Vote]].


=== The Test of Balance ===
=== The Test of Balance ===
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=== '''Vote unitarity''' ===
=== '''Vote unitarity''' ===
One application of the Equally Weighted Vote for the multi-winner or proportional context is [[Vote unitarity|vote unitarity]]. The basic idea is that the vote should stay equally weighted throughout the election tabulation. A voter's influence on electing subsequent winners should directly depend on the amount of support they gave for prior winners. This means that the vote weight is conserved throughout the process.
One application of the Equally Weighted Vote for the multi-winner or proportional context is [[Vote unitarity|vote unitarity]]. The basic idea is that the vote should stay equally weighted throughout the election tabulation. A voter's influence on electing subsequent winners should directly depend on the amount of support given to prior winners. This means that an individual voter's vote weight is conserved throughout the process.


There is an important nuance to this with regards to [[Surplus Handling]]; if, say, every voter gives one of the winners a perfect score, then instead of everyone's vote having no influence on the other winners, vote unitarity tries to ensure some kind of proportional decrease in voting power such that every voter still has a the correct amount of influence on the remaining winners. The simplest implementation of this is with [[Sequentially Spent Score]].
There is an important nuance to this with regards to [[Surplus Handling]]; if, say, every voter gives one of the winners a top score, then instead of everyone's vote having no influence on the other winners, [[Vote unitarity|'proportionate spending']] ensures a proportionate decrease in voting power, to ensure that the cost to elect a candidate is consistent, and to ensure that every voter still has a the correct amount of influence on the remaining winners. The simplest implementation of this is with [[Sequentially Spent Score]].




In summary, there is a proportional relationship between how much support the voters give to the winners and the amount of influence that is removed from the voters, to ensure that every voter has a chance to fairly elect someone they prefer. The prominent [[Single transferable vote|Single Transferable Vote]], and [[Reweighted Range Voting]] methods fail vote unitarity.
In summary, there is a proportionate relationship between how much support the voters give to the winners, the cost to elect a winner, and the amount of influence that is removed from the voters, to ensure that every voter has a chance to fairly elect someone they prefer. The prominent [[Single transferable vote|Single Transferable Vote]], and [[Reweighted Range Voting]] methods fail vote unitarity.
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