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Universal statistics of the knockout tournament
We study statistics of the knockout tournament, where only the winner of a fixture progresses to the next. We assign a real number called competitiveness to each contestant and find that the resulting distribution of prize money follows a power law with an exponent close to unity if the competitiven...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2013
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3824171/ https://www.ncbi.nlm.nih.gov/pubmed/24217406 http://dx.doi.org/10.1038/srep03198 |
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author | Baek, Seung Ki Yi, Il Gu Park, Hye Jin Kim, Beom Jun |
author_facet | Baek, Seung Ki Yi, Il Gu Park, Hye Jin Kim, Beom Jun |
author_sort | Baek, Seung Ki |
collection | PubMed |
description | We study statistics of the knockout tournament, where only the winner of a fixture progresses to the next. We assign a real number called competitiveness to each contestant and find that the resulting distribution of prize money follows a power law with an exponent close to unity if the competitiveness is a stable quantity and a decisive factor to win a match. Otherwise, the distribution is found narrow. The existing observation of power law distributions in various kinds of real sports tournaments therefore suggests that the rules of those games are constructed in such a way that it is possible to understand the games in terms of the contestants' inherent characteristics of competitiveness. |
format | Online Article Text |
id | pubmed-3824171 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2013 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-38241712013-11-12 Universal statistics of the knockout tournament Baek, Seung Ki Yi, Il Gu Park, Hye Jin Kim, Beom Jun Sci Rep Article We study statistics of the knockout tournament, where only the winner of a fixture progresses to the next. We assign a real number called competitiveness to each contestant and find that the resulting distribution of prize money follows a power law with an exponent close to unity if the competitiveness is a stable quantity and a decisive factor to win a match. Otherwise, the distribution is found narrow. The existing observation of power law distributions in various kinds of real sports tournaments therefore suggests that the rules of those games are constructed in such a way that it is possible to understand the games in terms of the contestants' inherent characteristics of competitiveness. Nature Publishing Group 2013-11-12 /pmc/articles/PMC3824171/ /pubmed/24217406 http://dx.doi.org/10.1038/srep03198 Text en Copyright © 2013, Macmillan Publishers Limited. All rights reserved http://creativecommons.org/licenses/by-nc-sa/3.0/ This work is licensed under a Creative Commons Attribution-NonCommercial-ShareALike 3.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-sa/3.0/ |
spellingShingle | Article Baek, Seung Ki Yi, Il Gu Park, Hye Jin Kim, Beom Jun Universal statistics of the knockout tournament |
title | Universal statistics of the knockout tournament |
title_full | Universal statistics of the knockout tournament |
title_fullStr | Universal statistics of the knockout tournament |
title_full_unstemmed | Universal statistics of the knockout tournament |
title_short | Universal statistics of the knockout tournament |
title_sort | universal statistics of the knockout tournament |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3824171/ https://www.ncbi.nlm.nih.gov/pubmed/24217406 http://dx.doi.org/10.1038/srep03198 |
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