On an Elo-type ranking model
Duration: 45 mins 55 secs
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| Description: |
Marie-Therese Wolfram (University of Warwick)
29/03/2022 Programme: FKT SemId: 35081 |
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| Created: | 2022-04-06 18:11 |
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| Collection: | Frontiers in analysis of kinetic equations |
| Publisher: | Marie-Therese Wolfram |
| Copyright: | Isaac Newton Institute |
| Language: | eng (English) |
| Abstract: | In this talk I will discuss Elo-type rating models for a large number of interacting agents. In these models each player is characterised by an intrinsic strength and a rating, which are both updated after each game. Then the dynamics of the agent distribution can be described by a Boltzmann type equation or a nonlinear non-local Fokker-Planck equation (FPE) in the quasi-invariant interaction limit. I will discuss the existence of solutions to this FPE as well as their long time behavior and conclude with numerical simulations as well as an outlook on the generalisation of Elo-type models for teams. This is joint work with B. Duering (Warwick) and M. Torregrossa. |
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