Fair elimination-type competitions

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 princip...

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Bibliographic Details
Authors: Arlegi Pérez, Ricardo, Dimitrov, Dinko
Format: article
Status:Versión aceptada para publicación
Publication Date:2020
Country:España
Institution:Universidad Pública de Navarra
Repository:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/39331
Online Access:https://hdl.handle.net/2454/39331
Access Level:Open access
Keyword:OR in sports
Fairness
Graphs
Seeding rules
Tournament design
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spelling Fair elimination-type competitionsArlegi Pérez, RicardoDimitrov, DinkoOR in sportsFairnessGraphsSeeding rulesTournament designWe 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.This work was supported by the Spanish Ministry of Science and Technology (Project ECO2015-65031-R MINECO/FEDER, UE).ElsevierEkonomiaInstitute for Advanced Research in Business and Economics - INARBEEconomía2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2454/39331reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarrainstname:Universidad Pública de NavarraInglésinfo:eu-repo/grantAgreement/MINECO//ECO2015-65031-R© 2020 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:academica-e.unavarra.es:2454/393312026-06-17T12:41:47Z
dc.title.none.fl_str_mv Fair elimination-type competitions
title Fair elimination-type competitions
spellingShingle Fair elimination-type competitions
Arlegi Pérez, Ricardo
OR in sports
Fairness
Graphs
Seeding rules
Tournament design
title_short Fair elimination-type competitions
title_full Fair elimination-type competitions
title_fullStr Fair elimination-type competitions
title_full_unstemmed Fair elimination-type competitions
title_sort Fair elimination-type competitions
dc.creator.none.fl_str_mv Arlegi Pérez, Ricardo
Dimitrov, Dinko
author Arlegi Pérez, Ricardo
author_facet Arlegi Pérez, Ricardo
Dimitrov, Dinko
author_role author
author2 Dimitrov, Dinko
author2_role author
dc.contributor.none.fl_str_mv Ekonomia
Institute for Advanced Research in Business and Economics - INARBE
Economía
dc.subject.none.fl_str_mv OR in sports
Fairness
Graphs
Seeding rules
Tournament design
topic OR in sports
Fairness
Graphs
Seeding rules
Tournament design
description 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.
publishDate 2020
dc.date.none.fl_str_mv 2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2454/39331
url https://hdl.handle.net/2454/39331
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/MINECO//ECO2015-65031-R
dc.rights.none.fl_str_mv © 2020 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0
https://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv © 2020 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
instname:Universidad Pública de Navarra
instname_str Universidad Pública de Navarra
reponame_str Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
collection Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
repository.name.fl_str_mv
repository.mail.fl_str_mv
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