3 ms·
Condorcet means that a candidate who is 2nd choice of 100% of the voters, maybe even a strong 2nd choice (rankings don't carry that info) will always lose even
by iainmerrick 8y ago
Condorcet means that a candidate who is 2nd choice of 100% of the voters, maybe even a strong 2nd choice (rankings don't carry that info) will always lose even in a case where all the other candidates are grossly polarizing
That's not correct, if there are 4 or more candidates.
If there were exactly 3 candidates the split would have to be something like 51-49, and then the candidate with 100% second place would come second. But it's arguable whether that's a bad result, and it seems like a very unlikely scenario anyway. Even 10% of people voting that candidate in first place would be enough for them to win it.
- quadrangle 8y agoYes, you're totally right. I was writing too quickly and mixed up that sentence's point. What I meant to express was that the 100% 2nd choice candidate will lose to Condorcet winner if there's 51% support for the Condorcet winner. I.e. majority support. That's true also for non-Condorcet systems. My point was that Condorcet systems are always also strict majoritarian, and there are reasonable arguments that majoritarianism can be undesireable (such as cases of polarizing slim-majority winner.
- tunesmith 8y agoI think this improperly confuses an axiom with an argument. What I mean is, some of this comes down to a question that asks what your values are: If, in a two-candidate election, one candidate gets more votes, should that election be the winner, even if the losing candidate has more passionate supporters? In democratic elections that respect one-person/one-vote, the answer to that question is simply yes, because that is the definition of one-person/one-vote democracy. Even if there are 100 voters, and it's 51-49, and the 51 voters are lukewarm while the 49 voters are passionate, the candidate with 51 votes wins. No matter what. The reason that matters is because it is actually fairly slippery to measure passion. If one person submits a 10 rating, and another submits a 7 rating, what does that mean? It could mean that one person is passionate and the other person is lukewarm. But it could also mean that one person is emphatic while the other person is meek. Or that one person is authoritarian and the other person is abused. The entire reason we have one-person/one-vote is to make sure that voters are treated equally, even if society is otherwise telling certain people that they are "less than". And for those sorts of elections, Condorcet voting is basically perfect. All the flaws people attribute to "Condorcet methods" are only attributable to when there are multi-member Smith Sets. Now there are other kinds of elections; elections where we don't follow the one-person/one-vote principle. Smaller electorates, non-governmental, self-governing organizations. In those cases, "consensus" is more possible without risking systemic abuse. And in those cases, it might be entirely appropriate to award the winner to the 49% candidate with more passionate support. In which case you would perhaps choose something other than Condorcet.