Pairwise counting: Difference between revisions

'''Pairwise win/beat''' and '''pairwise lose''': When one candidate receives more votes in a pairwise matchup/comparison against another candidate, theythe former candidate "pairwise beatbeats" thatthe latter candidate, withand the otherlatter candidate in the matchup "pairwise losingloses."

'''Pairwise winner''' and '''pairwise loser''': theThe candidate who pairwise wins is the pairwise winner of the matchup,. with theThe other candidate beingis the pairwise loser of the matchup.

'''Pairwise tie''': WhenOccurs when two candidates receive the same number of votes in their pairwise matchup.

'''Pairwise order/ranking''': Also known as a [[Condorcet ranking]], it is athe ranking of candidates such that each candidate is ranked above all candidates they pairwise beat. OneSometimes such a ranking does not always exist due to the [[Condorcet paradox]],. thoughAs a related concept, there is always a [[Smith set ranking|Smith ranking]] whichthat moreapplies generally holds instead forto groups of candidates.