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Fair Competition Design

Ritxar Arlegi (), Institute for Advanced Research in Business and Economics (INARBE) and Dinko Dimitrov ()
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Ritxar Arlegi: Departamento de Economía-UPNA

Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra from Departamento de Economía - Universidad Pública de Navarra

Abstract: 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 first principle states that equally strong players should have the same chances of being final winner, 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 fferent kinds of knockout competitions, and we characterize the structures satisfying these requirements. In our results, a new competition structure that we call an antler is found to play a referential role. Finally, we show that the class of fair competition systems becomes rather small when both fairness principles are jointly applied.

Keywords: equal treatment; monotonicity; seeding; sport competition (search for similar items in EconPapers)
JEL-codes: D00 D02 D60 D63 D70 Z20 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-gth and nep-spo
Date: 2018
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