"Flocking models in social sciences"Fischer, MichaelIn this talk we present ongoing work on the ELO rating, the widely used rating in chess. We extend previous work to include a factor of performance-fluctuation. Numerical simulations on both scales show good agreement between microscopic and mesoscopic scales. We can use the partial differential equation to show analytically that a proper choice of parameters leads to a convergence of the rating R to the expected strength of ?. We conclude with a possible generalization of the PDE to capture the long-term behavior of an entire class of models. |
« back