An Elo-type rating model for players and teams of variable strength-Reference-Cited by-同舟云学术

An Elo-type rating model for players and teams of variable strength

Published:2022-04-11 Issue:2224 Volume:380 Page:
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Düring Bertram¹^ORCID,Fischer Michael²³,Wolfram Marie-Therese¹³^ORCID

Affiliation:

1. Mathematics Institute, University of Warwick, Zeeman Building, Coventry CV4 7AL, UK

2. Fakultät für Mathematik, Universität Wien, Oskar-Morgenstern-Platz 1, 1090 Wien, Austria

3. RICAM, Austrian Academy of Sciences, Altenbergerstraße 69, 4040 Linz, Austria

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. 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 generalize their model to account for variable performance of individual players or teams. We discuss the underlying modelling assumptions, derive the respective formal mean-field model and illustrate the dynamics with computational results. This article is part of the theme issue ‘Kinetic exchange models of societies and economies’.

Funder

Austrian Science Fund

Austrian Academy of Sciences

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2021.0155

Reference35 articles.

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3. Silver N Fischer-Baum R. 2015 How we calculate NBA Elo ratings. Accessed: 22 October 2021. See https://fivethirtyeight.com/features/how-we-calculate-nba-elo-ratings.

4. Parameter Estimation in Large Dynamic Paired Comparison Experiments

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