Round-robin voting
voting systems using paired comparisons

Round-robin, paired comparison, or tournament voting methods, are a set of ranked voting systems that choose winners by comparing every pair of candidates one-on-one, similar to a round-robin tournament. In each paired matchup, the total number of voters who prefer each candidate is recorded in a beats matrix. Then, a majority-preferred (Condorcet) candidate is elected, if one exists. Otherwise, if there is a cyclic tie, the candidate "closest" to being a Condorcet winner is elected, based on the recorded beats matrix. How "closest" is defined varies by method.
Round-robin methods are one of the four major categories of single-winner electoral methods, along with multi-stage methods (like RCV-IRV), positional methods (like plurality and Borda), and rated methods (like score and STAR voting).
Most, but not all, election methods meeting the Condorcet criterion are based on pairwise counting.
Pairwise counting
In round-robin voting, each voter ranks candidates from first to last (or rates them on a scale). For each pair of candidates (as in a round-robin tournament), we count how many votes rank each candidate over the other.
Beats matrix
Pairwise counts are often displayed in a beats, tournament, pairwise comparison, or outranking matrix such as those below.
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