2 papers
physics.soc-ph2018
Boltzmann and Fokker-Planck equations modelling the Elo rating system with learning effects
Bertram Düring, Marco Torregrossa, Marie-Therese Wolfram
In this paper we propose and study 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…
q-fin.MF2017
Wealth distribution in presence of debts. A Fokker--Planck description
Marco Torregrossa, Giuseppe Toscani
We consider here a Fokker--Planck equation with variable coefficient of diffusion which appears in the modeling of the wealth distribution in a multi-agent society. At difference w…