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Sport climbing, which made its Olympic debut at the 2020 Summer Games,generally consists of three separate disciplines: speed climbing, bouldering,and lead climbing. However, the International Olympic Committee (IOC) onlyallowed one set of medals each for men and women in sport climbing. As aresult, the governing body of sport climbing, rather than choosing only one ofthe three disciplines to include in the Olympics, decided to create acompetition combining all three disciplines. In order to determine a winner, acombined scoring system was created using the product of the ranks across thethree disciplines to determine an overall score for each climber. In this work,the rank-product scoring system of sport climbing is evaluated throughsimulation to investigate its general features, specifically, the advancementprobabilities and scores for climbers given certain placements. Additionally,analyses of historical climbing contest results are presented and real examplesof violations of the independence of irrelevant alternatives are illustrated.Finally, this work finds evidence that the current competition format isputting speed climbers at a disadvantage.

An Examination of Olympic Sport Climbing Competition Format and Scoring System