You linked to an article about Arrow’s Theorem, which only applies to ordinal (ranked) voting methods
While Arrow’s Theorem applies only to ordinal voting methods, other voting methods still have downsides, primarily that you need to be tactical: voting honestly won’t always give you your best result.
cardinal (rated) voting methods like Score Voting and Approval Voting
Why are you classifying Approval Voting as cardinal?
Cardinal voting methods will win in the long run.
Why do you think this? You can think of there as being a range of complexity in terms of how much information is elicited from voters: single top preference (FPTP), all acceptable candidates (Approval), candidates in order (Ranked), candidates with ratings (Range). Where we end up on this seems like more a question of what ends up working well in practice than something we can answer from thinking about humans. I like Approval a lot, as I said in the post, but after seeing more hotly contested Approval elections I might understand new aspects of how it works in practice that would change my mind.
Why are you classifying Approval Voting as cardinal?
Ordinal voting systems force you to express a strict preference between all candidates; cardinal voting systems allow you to have candidates tie. For any election with at least three candidates, there has to be a tie if you’re using approval voting.
While Arrow’s Theorem applies only to ordinal voting methods, other voting methods still have downsides, primarily that you need to be tactical: voting honestly won’t always give you your best result.
Why are you classifying Approval Voting as cardinal?
Why do you think this? You can think of there as being a range of complexity in terms of how much information is elicited from voters: single top preference (FPTP), all acceptable candidates (Approval), candidates in order (Ranked), candidates with ratings (Range). Where we end up on this seems like more a question of what ends up working well in practice than something we can answer from thinking about humans. I like Approval a lot, as I said in the post, but after seeing more hotly contested Approval elections I might understand new aspects of how it works in practice that would change my mind.
Ordinal voting systems force you to express a strict preference between all candidates; cardinal voting systems allow you to have candidates tie. For any election with at least three candidates, there has to be a tie if you’re using approval voting.
Defining “cardinal” as “allows you to rank two candidates as equal” is a very weird use of the term, but it does appear to be standard: https://en.wikipedia.org/wiki/Cardinal_voting