User:Lucasvb/Majority and consensus under ordinal and cardinal perspectives: Difference between revisions
User:Lucasvb/Majority and consensus under ordinal and cardinal perspectives (view source)
Revision as of 09:02, 20 February 2021
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One form of expressing such opinions is through '''ranked ballots''', which express ''preference''. Ranked preferences are inherently comparative, so a ranking is always between two options, such as "I prefer A to B" (or simply A>B). If more options exist, the ranking has to, somehow, work for all of them simultaneously. But fundamentally, a preference refers to a choice between exactly two alternatives.
The alternative are ''rated ballots'', which express ''evaluations''. The context of voting inherently makes the evaluations comparative, so rated ballots may still carry the same preference information as ranked ballots. But rated ballots do something more: they '''evaluate''' all options under the same comparative scale. The information is not strictly pairwise, but instead considers the relative assessment with respect to all other options, simultaneously. Crucially, under such a framework all information is taken into account together, in aggregate. This aggregate information, it turns out, carries even more information than its parts, as we will see later.
These are two competing traditions to deal with democracy: ordinalism (rankings) and cardinalism (with evaluations).
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