Scale invariance: Difference between revisions

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Rearrange strong variant, touch up grammar.
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m (Rearrange strong variant, touch up grammar.)
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{{Definition|Multiplying every ballot's score of every candidate by a constant <math>\alpha>0</math> should not change the outcome.}}
 
with a stronger variant being
The ordinal method criterion is also called the [[homogeneity criterion]]. It is:
 
{{Definition|ForMultiplying everyone wayor ofmore rankingballot's the candidates, multiplying the numberscore of voters who express thisevery preferencecandidate by a constant <math>\alpha>0</math> should not change the outcome.}}
 
The ordinal method criterion is also called the [[homogeneity criterion]]. It is:
Strong variant, for [[Cardinal voting systems#Scale%20invariance|cardinal method]] is:
 
{{Definition|MultiplyingFor oneevery orway moreof ballot'sranking scorethe candidates, multiplying the number of everyvoters who express this candidatepreference by a constant <math>\alpha>0</math> should not change the outcome.}}
 
These criteria represent a desideratum that the method should not rely on absolute numbers when selecting a winner, just on the candidates' or factions' relative support.
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==RelevantSee Pagesalso==
 
* [[Single distributed vote]]
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