Scale invariance: Difference between revisions
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Scale invariance can refer to one of two criteria: a cardinal voting method criterion and an ordinal one. |
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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.}} |
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The ordinal method criterion is: |
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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.}} |
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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. |
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==References== |
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[[Category:Voting system criteria]] |
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Revision as of 14:37, 5 May 2020
Scale invariance can refer to one of two criteria: a cardinal voting method criterion and an ordinal one.
The cardinal method criterion is:
Multiplying every ballot's score of every candidate by a constant should not change the outcome.
The ordinal method criterion is:
For every way of ranking the candidates, multiplying the number of voters who express this preference by a constant should not change the outcome.
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.
This page is a stub - please add to it.