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Updated: Sep 27, 2025

One Dimensional Turing-Like Handshake Test for Motor Intelligence
Published on: December 15, 2010
An Elo-type rating model for players and teams of variable strength
Bertram Düring1, Michael Fischer2,3, Marie-Therese Wolfram1,3
1Mathematics Institute, University of Warwick, Zeeman Building, Coventry CV4 7AL, UK.
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'.
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