An Exposition of Five Candidates Suffice for a Majority

The authors explain a finding by Song, Nguyen, and Lin from 2026 which shows that in any election where voters rank candidates, there is always a small group of at most five candidates that collectively beat all others when compared pairwise. This group is called a Condorcet winning set. Their work provides a concise way to understand how winners can be identified beyond just one candidate. The result helps clarify how election outcomes can be analyzed in ranked voting systems.