Before revision:  We also consider the probability of reaching the sudden death stage, as well as the complexity and strategy-proofness of the designs. Some rules are found to be inferior as they do not lead to a substantial gain in fairness compared to simpler mechanisms.
After revision:  We also consider the probability of reaching the sudden death stage, as well as the complexity and strategy-proofness of the rules. Some designs are found to be inferior as they do not lead to a substantial gain in fairness compared to simpler mechanisms.