Fair elimination-type competitions
Fecha
2020Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión aceptada / Onetsi den bertsioa
Impacto
|
10.1016/j.ejor.2020.03.025
Resumen
We study the impact of two basic principles of fairness on the structure of elimination-type competitions and perform our analysis by focusing on sports competitions. The first principle states that stronger players should have a larger chance of winning than weaker players, while the second principle provides equally strong players the same chances of being the final winner. We apply these requi ...
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We study the impact of two basic principles of fairness on the structure of elimination-type competitions and perform our analysis by focusing on sports competitions. The first principle states that stronger players should have a larger chance of winning than weaker players, while the second principle provides equally strong players the same chances of being the final winner. We apply these requirements to different kinds of knockout competitions, and characterise the structures satisfying them. In our results, a new competition structure that we call an antler is found to play a referential role. [--]
Materias
OR in sports,
Fairness,
Graphs,
Seeding rules,
Tournament design
Editor
Elsevier
Publicado en
European Journal of Operational Research, 2020, 287(2), 528-535
Departamento
Universidad Pública de Navarra. Departamento de Economía /
Nafarroako Unibertsitate Publikoa. Ekonomia Saila /
Universidad Pública de Navarra/Nafarroako Unibertsitate Publikoa. Institute for Advanced Research in Business and Economics - INARBE
Versión del editor
Entidades Financiadoras
This work was supported by the Spanish Ministry of Science and Technology (Project ECO2015-65031-R MINECO/FEDER, UE).