An Elo-type rating model for players and teams of variable strength
Optimization and Control
2022-04-12 v2 Analysis of PDEs
Adaptation and Self-Organizing Systems
Physics and Society
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 individual players or teams. We discuss the underlying modelling assumptions, derive the respective formal mean-field model and illustrate the dynamics with computational results.
Keywords
Cite
@article{arxiv.2109.15046,
title = {An Elo-type rating model for players and teams of variable strength},
author = {Düring Bertram and Fischer Michael and Wolfram Marie-Therese},
journal= {arXiv preprint arXiv:2109.15046},
year = {2022}
}
Comments
19 pages, 6 figures