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What happens if two individuals have the same score?

Chess tournaments use tiebreakers to form the final standings and award trophies. Tiebreakers are somewhat complicated, but basically they reward the players who have played more difficult opposition. This most often comes up when several players are tied with a score of 3/4, and some receive trophies while others do not. Tiebreakers may seem arbitrary at times, but they do rank the players as fairly as possible given that there are only four rounds in most scholastic tournaments.