If, off the top of your head, you thought of a solution to a problem that’s existed for hundreds of years and had lots of smart people look at it, it probably was thought up by someone else already and found wanting.
Ranking is subject to Arrow’s impossibility theorem.
Having voters assign candidates a score is still covered by the Gibbert-Satterthwaite theorem.
According to Warren “Range Voting” Smith, Gibbard-Satterthwaite only applies when what voters provide is a ranking rather than a scoring.
[EDITED to put the link on a slightly better choice of words.]
Yeah, sorry, I don’t know what I was thinking.
If, off the top of your head, you thought of a solution to a problem that’s existed for hundreds of years and had lots of smart people look at it, it probably was thought up by someone else already and found wanting.
Ranking is subject to Arrow’s impossibility theorem.
Having voters assign candidates a score is still covered by the Gibbert-Satterthwaite theorem.
According to Warren “Range Voting” Smith, Gibbard-Satterthwaite only applies when what voters provide is a ranking rather than a scoring.
[EDITED to put the link on a slightly better choice of words.]
Yeah, sorry, I don’t know what I was thinking.