Modeling, analysis, and control of multi-agent systems across scales
timetable:
Fri 26 Jan, 9:00 - 9:50, Aula Dini
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On a kinetic Elo rating model for players with dynamical strength
speaker: Bertram Düring (University of Warwick)abstract: We discuss a new kinetic rating model for a large number of players, which is motivated by the well-known Elo rating system. Each player is characterised by an intrinsic strength and a rating, which are both updated after each game. We state and analyse the respective Boltzmann-type equation and derive the corresponding nonlinear, nonlocal Fokker-Planck equation. We investigate the existence of solutions to the Fokker-Planck equation and discuss their behaviour in the long time limit. Furthermore, we illustrate the dynamics of the Boltzmann and Fokker-Planck equation with various numerical experiments.
timetable:
Fri 26 Jan, 9:00 - 9:50, Aula Dini
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