Resumen de Fair competition design

Ricardo Arlegi Pérez, Dinko Dimitrov

• We study the impact of two basic principles of fairness on the structure of competition systems and perform our analysis by focus-ing on sports competitions. The ¿rst principle states that equally strong players should have the same chances of being the ¿nal win-ner, while the second principle requires that the competition system should not favor weaker players. We apply these requirements to a class of competitions which includes, but is not limited to, the sport tournament systems that are most commonly used in practice, such as round-robin tournaments and di¿erent kinds of knockout competi-tions, and we characterize the structures satisfying these requirements.