Rating Skating
研究了花样滑冰中位数排名系统的独特性质，证明它是唯一同时满足对高分积极回应和多数规则两个条件的聚合方法，并在蒙特卡洛模拟中表现出优于其他方法的抗操纵性和效率。
Abstract Among judged sports, figure skating uses a unique method of median ranks for determining placement. This system responds positively to increased marks by each judge and follows majority rule when a majority of judges agree on a skater's rank. It is demonstrated that this is the only aggregation system possessing these two properties. Median ranks provide strong safeguards against manipulation by a minority of judges. These positive features do not require the sacrifice of efficiency in controlling measurement error. In a Monte Carlo study, the median rank system consistently outperforms alternatives when judges' marks are significantly skewed toward an upper limit.