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SUMMARY:On an Elo-type ranking model - Marie-Therese Wolfram (University o
 f Warwick)
DTSTART:20220329T135000Z
DTEND:20220329T143500Z
UID:TALK171932@talks.cam.ac.uk
DESCRIPTION:In this talk I will discuss Elo-type rating models for a large
  number of interacting agents. In these models each player is characterise
 d by an intrinsic strength and a rating\, which are both updated after eac
 h game. Then the dynamics of the agent distribution can be described by a 
 Boltzmann type equation or a nonlinear non-local Fokker-Planck equation (F
 PE)&nbsp\; in the quasi-invariant interaction limit. I will discuss the ex
 istence of solutions to this FPE as well as their long time behavior and c
 onclude with numerical simulations as well as an outlook on the generalisa
 tion of Elo-type models for teams. This is joint work with B. Duering (War
 wick) and M. Torregrossa.
LOCATION:Seminar Room 2\, Newton Institute
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