Note—Rankings from Round-Robin Tournaments
指出Goddard在1983年提出的循环赛排名标准存在缺陷,其方法也无法满足该标准,并介绍了一类竞争模型,该模型支持按胜场数排名的常规方法。
In a December 1983 article in Management Science, Stephen Goddard studies the problem of ranking contestants in a round-robin tournament. He gives objections to the usual method of ranking contestants by number of victories and proposes both an alternative method for ranking contestants and a criterion for determining the “fairest” ranking. We argue here that his criterion is faulty and, in fact, falls prey to his own objections. We also show that his method, in any event, produces rankings which don't satisfy the criterion. Finally we describe a general class of models of competition which have been proposed to solve this problem and which lead to the usual method of ranking by number of victories.