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On an Elo-type ranking model

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FKT - Frontiers in kinetic theory: connecting microscopic to macroscopic scales - KineCon 2022

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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