Cardinal voting systems: Difference between revisions
m
Added point on how methods satisfying the Condorcet criterion can sometimes come closer to the utilitarian result than methods only satisfying the majority criterion. Also made a good-faith edit where I believe the writer meant to say "lowers" and not "raises".
m (Added point on how methods satisfying the Condorcet criterion can sometimes come closer to the utilitarian result than methods only satisfying the majority criterion. Also made a good-faith edit where I believe the writer meant to say "lowers" and not "raises".) |
|||
Line 13:
[[Cardinal voting]] is called [[Score Voting]] when a sum or average is used to tally votes to find the [[Utilitarian winner]]. It is typical to use a sum. Averages will give a differing result in systems where there is a no opinion option for each candidate meaning that the average is done over a differing number of voters for each candidate.
The median can also be used to aggregate a cardinal ballot in Majority judgment systems. The use of the median is intended to further diminish the effects of strategic voting. Majority judgment voting satisfies the majority criterion, stated as "if one candidate is preferred by a majority (more than 50%) of voters, then that candidate must win". It should be noted that [[Instant-runoff voting]] also satisfies this criterion. While it might sound like this is always a good requirement of a voting system, consider a polarized scenario where 51% prefer one candidate and hate the other while the remaining 49% is just the opposite. If there was a third candidate who 100% would be satisfied with they would not be elected in a system which satisfied the majority criterion (though they would be elected in a system which satisfied the [[Condorcet criterion]] if 4% or more of the majority expressed an equal preference for the consensus candidate and their favorite candidate). Satisfying the majority criterion reduces incentive for compromise and
In multi-member systems the aggregation method can be split into the winner selection and the ballot reweighting methods. Optimal systems, however, combine these.
| |||