Vote unitarity: Difference between revisions

Added links to other electowiki pages.
(Tied in familiar terms like Equally Weighted Vote and One-Person-One-Vote in the first sentence for clarity. Changed single winner criterion section to name the Equal Vote Criterion specifically. Standardized capitalization. When a proper name of a defined term is more than one word long, such as Vote Unitiarity, both words should be capitalized.)
(Added links to other electowiki pages.)
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'''Vote Unitarity''' is the concept of the [[Equally Weighted Vote]] or [[One-Person-One-Vote]] as applied to multi-winner election methods. Vote Unitarity ensures that each person should have one vote and that vote should not change in power during the rounds of tabulation in any system. More mathematically, it is the condition that the time evolution of the vote according to the tabulation procedure is mathematically represented only by [[W : Unitary transformation |Unitary Transformations]]. This means that ballot weight can be split between winners but never created or destroyed during the voting systems calculation of winners.
 
== Rationale ==
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===Each vote/ballot has the same weight===
 
The weight of each voters ballot is given the same initial weight. This is the interpretation that the U.S. Supreme Court holds states to. It’s failed by single-winner methods thatwhich usedo not ensure an [[Equally Weighted Vote]] and are thus vulnerable to [[Vote Splitting]], and it is failed in unequally-populated districts, and in the Electoral College. This concept is independent from Vote Unitarity. If a voter's weight is initially unequal, Vote Unitarity will maintain that inequality.
 
===The Test of Balance===
 
The test[[Equally Weighted Vote|Test of balanceBalance]] is [https://www.starvoting.us/equal_vote defined] as the following "Any way I vote, you should be able to vote in an equal and opposite fashion. Our votes should be able to cancel each other’s out."
 
Vote Unitarity is not incompatible with this but the concept of a utilitarian multi-winner score system is. These systems do not aim to cancel out the will of opposing groups and leave them with nothing. They aim to find an compromise for all conflicting voters. Vote Unitarity helps to ensure fairness in the compromise.
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