Steady states of an Elo-type rating model for players of varying strength
| Autor: | Düring, Bertram, Evans, Josephine, Wolfram, Marie-Therese |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Kinet. Relat. Models 17(2) (2024), 209-233 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.3934/krm.2023020 |
| Popis: | 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. Comment: 2 figures, 20 pages |
| Databáze: | arXiv |
| Externí odkaz: |
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