I just want to briefly go over why I think the Copeland method is the best method (as opposed to Boarda, Plurality and Elimination/Runoff). As a recap, Copeland meets the most criteria of any method. The one who wins through the Copeland method is often going to be Condorcet, since the methods are similar. Majority is also a guarantee because when one wins through the Copeland method often has a majority as well. And if you are placed higher in the Copeland preference schedule then you’d just do better in it, so the monotonicity method is satisfied as well.
The only problem with the Copeland method is the Independence of Irrelevant Alternatives (IIA) criterion. However, I don’t think this criterion is very important and in fact, I’d probably vote IIA as the least important criterion to meet. What should matter in a given preference schedule is who or what is actually in the schedule, not what would happen if some hypothetical candidate wasn’t there.
So the fact that the Copeland method doesn’t meet this criterion isn’t very important. And in fact no method of the four previously mentioned does, so it’s not like you can do better besides Approval voting. Speaking of, I’m interested to see if anyone has any ideas about Approval Voting vs. Copeland.
Trivia: Wikimedia, which is related to Wikipedia, uses the Copeland method, and we all know Wikipedia is one of the best things to happen to the Internet since memes.