The three possibilities about adding a third (or additional) candidate in head to head pairings. Assume A > Z (somewhere between 99 to 1 or 51 to 49) (i.e. having a majority winner) Candidate M is added. 3 possibilities (ignoring ties) --- 1. A > M, A continues to win 2. M > A and M > Z, M wins Is this possibility more likely when A beats Z badly (such as A 70 to Z 30) ? 3. M > A but Z > M, circular tie. Is this possibility more likely when A barely beats Z (such as A 52 to Z 48) ? The general case remains with A being a majority and Z being a minority. Adding one or more candidates either does or does not divide the majority.
