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arXiv · 2204.10260

Steady states of an Elo-type rating model for players of varying strength

Bertram Düring·Josephine Evans·Marie-Therese Wolfram
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Abstract

In this paper we study the long-time behaviour of a kinetic formulation of an Elo-type rating model for a large number of interacting players with variable strength. The model results in a non-linear mean-field Fokker-Planck equation and we show the existence of steady states via a Schauder fixed point argument. Our proof relies on the study of a related linear equation using hypocoercivity techniques.

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Bertram Düring, Josephine Evans, Marie-Therese Wolfram. 2022-04-21. Steady states of an Elo-type rating model for players of varying strength. https://doi.org/10.3934/krm.2023020

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