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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…
physics.soc-ph2018
Kinetic models for optimal control of wealth inequalities
Bertram Düring, Lorenzo Pareschi, Giuseppe Toscani
We introduce and discuss optimal control strategies for kinetic models for wealth distribution in a simple market economy, acting to minimize the variance of the wealth density amo…