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 17:34, 20 February 2021
, 3 years ago→Cardinalism and the "majority of consensus"
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As we have seen, the notion of a "majority" as an inherent property of the voters is hard to establish using the ordinal formalism. The candidates have too much influence in what it actually conveys.
Under a cardinal framework, however, the concept is more subtle. Taking the consensus as the blueprint of voter cohesion, we can informally define a "'''''majority of consensus'''''" as the group of 50%+1 voters which lie closest to '''''all''''' of the existing consensuses. A more natural notion of majority can be defined in terms of the spatial model of voters.
As before, we will consider an election with many candidates. Voters would be casting cardinal ballots which inherently carry comparative information between the many candidates. We then look at what information would be available between two candidates, if we look at the scores given to both by the voters. Once more, this is not an election with two candidates, but a picture of the electorate two candidates in an election provide to us.
[[File:Majority of consensus histograms.gif]]
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