Analysis of Impact of Introduction of the New Judging System in Figure Skating

This study is a continuation and reinterpretation of previous paper of the author "Corruption in the competition" and it is devoted to a detailed study of the features of two different judging systems used in figure skating. The main objective of this study was to understand whether the introduction of the New judging system instead of the old one, which functioned for about 100 years, has improved the efficiency of judging in figure skating. For the purpose of the rigorous analytical analysis and comparison of the advantages and disadvantages of the considered judging systems the judging in figure skating was presented in the form of a mathematical game between the judges. After finding rational judicial behavior author compares judging systems on a number of criteria: the error probability in the identification of the bias of a judge, the probability of catching of a biased judge, the probability of wrong decision of the judges, as well as the complexity of the manipulating of the judge's vote. The study found that the New system is inferior to the old one in the clarity and simplicity, but it surpasses it in other, more important characteristics. According to the conducted calculations, it is very difficult to find biased judges in both judging systems. However the New judging system leads to fewer errors of judges than a 6.0 system. Moreover, as shown in the paper, after the introduction of a New judging system, judges have incentives to vote sincerely, which significantly complicates the manipulation of the judicial votes. In addition to the comparison of the judging systems the significant similarities between the judging in figure skating and the jury trial has been demonstrated. Some analytically reasonable assumptions, which allow increasing of the efficiency of both processes, have been proposed on the basis of the constructed isomorphism.