Scale invariance: Difference between revisions

Added strong variant
m (Refer to homogeneity)
(Added strong variant)
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{{Definition|For every way of ranking the candidates, multiplying the number of voters who express this preference by a constant <math>\alpha>0</math> should not change the outcome.}}
 
Strong variant, for [[Cardinal voting systems#Scale%20invariance|cardinal method]] is:
Both 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.
 
{{Definition|Multiplying one or more ballot's score of every candidate by a constant <math>\alpha>0</math> should not change the outcome.}}
 
BothThese 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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