Fair elimination-type competitions

Date

2020

Authors

Dimitrov, Dinko

Director

Publisher

Elsevier
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa

Project identifier

MINECO//ECO2015-65031-R/ES/ recolecta
Impacto

Abstract

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.

Description

Keywords

OR in sports, Fairness, Graphs, Seeding rules, Tournament design

Department

Ekonomia / Institute for Advanced Research in Business and Economics - INARBE / Economía

Faculty/School

Degree

Doctorate program

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© 2020 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0

Licencia

Los documentos de Academica-e están protegidos por derechos de autor con todos los derechos reservados, a no ser que se indique lo contrario.