Scale invariance: Difference between revisions
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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.}} |
{{Definition|Multiplying every ballot's score of every candidate by a constant <math>\alpha>0</math> should not change the outcome.}} |
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with a stronger variant being |
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{{Definition| |
{{Definition|Multiplying one or more ballot's score of every candidate by a constant <math>\alpha>0</math> should not change the outcome.}} |
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⚫ | |||
Strong variant, for [[Cardinal voting systems#Scale%20invariance|cardinal method]] is: |
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{{Definition| |
{{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.}} |
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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. |
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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== |
==See also== |
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* [[Single distributed vote]] |
* [[Single distributed vote]] |