Abstract
In competitions where a number of judges choose with some subjectivity among three or more alternatives, a wide variety of undesirable effects can occur. Examples of such effects are presented, with emphasis on figure skating and dance competitions, where the rule traditionally used allows for the existence of dictatorsituations, dependence on irrelevant alternatives, and intransitivity. Although not all paradoxes can be removed (as proven by Arrow), we propose an improved rule which alleviates many of the difficulties, and is superior to any weighted summation rule.
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