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- Title
Steady states of an Elo-type rating model for players of varying strength.
- Authors
Düring, Bertram; Evans, Josephine; Wolfram, Marie-Therese
- 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.
- Subjects
FOKKER-Planck equation; LINEAR equations; NONLINEAR equations; MEAN field theory
- Publication
Kinetic & Related Models, 2024, Vol 17, Issue 2, p1
- ISSN
1937-5093
- Publication type
Article
- DOI
10.3934/krm.2023020