4 papers
Mean-field limit of collective dynamics with time-varying weights
Nastassia Pouradier Duteil
In this paper, we derive the mean-field limit of a collective dynamics model with time-varying weights, for weight dynamics that preserve the total mass of the system as well as in…
Control of collective dynamics with time-varying weights
Nastassia Duteil, Benedetto Piccoli
This paper focuses on a model for opinion dynamics, where the influence weights of agents evolve in time. We formulate a control problem of consensus type, in which the objective i…
Kinetic approach to the collective dynamics of the rock-paper-scissors binary game
Nastassia Duteil, Francesco Salvarani
This article studies the kinetic dynamics of the rock-paper-scissors binary game. We first prove existence and uniqueness of the solution of the kinetic equation and subsequently w…
Sparse control of Hegselmann-Krause models: Black hole and declustering
Benedetto Piccoli, Nastassia Pouradier Duteil, Emmanuel Trélat
This paper elaborates control strategies to prevent clustering effects in opinion formation models. This is the exact opposite of numerous situations encountered in the literature…