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An Elo-type rating model for players and teams of variable strength
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Düring, Bertram, Fischer, Michael and Wolfram, Marie-Therese (2022) An Elo-type rating model for players and teams of variable strength. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 380 (2224). 20210155. doi:10.1098/rsta.2021.0155 ISSN 1364-503X.
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Official URL: https://doi.org/10.1098/rsta.2021.0155
Abstract
The Elo rating system, which was originally proposed by Arpad Elo for chess, has become one of the most important rating systems in sports, economics and gaming nowadays. Its original formulation is based on two-player zero-sum games, but it has been adapted for team sports and other settings. In 2015, Junca and Jabin proposed a kinetic version of the Elo model, and showed that under certain assumptions the ratings do converge towards the players’ strength. In this paper we generalise their model to account for variable performance of indi- vidual players or teams. We discuss the underlying modelling assumptions, derive the respective formal mean-field model and illustrate the dynamics with computational results.
Item Type: | Journal Article | |||||||||
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Subjects: | G Geography. Anthropology. Recreation > GV Recreation Leisure Q Science > QA Mathematics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||
Library of Congress Subject Headings (LCSH): | Ranking and selection (Statistics), Sports -- Statistical methods | |||||||||
Journal or Publication Title: | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences | |||||||||
Publisher: | The Royal Society Publishing | |||||||||
ISSN: | 1364-503X | |||||||||
Official Date: | 30 May 2022 | |||||||||
Dates: |
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Volume: | 380 | |||||||||
Number: | 2224 | |||||||||
Article Number: | 20210155 | |||||||||
DOI: | 10.1098/rsta.2021.0155 | |||||||||
Status: | Peer Reviewed | |||||||||
Publication Status: | Published | |||||||||
Access rights to Published version: | Restricted or Subscription Access | |||||||||
Copyright Holders: | © 2022 The Author(s) | |||||||||
Date of first compliant deposit: | 30 November 2021 | |||||||||
Date of first compliant Open Access: | 2 December 2021 | |||||||||
RIOXX Funder/Project Grant: |
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