Opinion formation models with time dependent time delays
speaker: Cristina Pignotti (Università degli studi dell’Aquila)abstract: We analyze Hegselmann-Krause opinion formation models with time variable time delays. We prove that, if the influence function is always positive, then there is exponential convergence to consensus without requiring any smallness assumptions on the time delay function. We are able to deal with general influence functions, without requiring the monotonicity assumption of previous related literature. Since the convergence estimates are independent of the number N of the agents, we can extend our result to the continuity type equation obtained as the mean-field limit of the particle model when N goes to infinity. A model with heterogeneous time delays, namely the communication delays are dependent on the agents’ pairs, is also considered. Joint works with Elisa Continelli and Alessandro Paolucci.
timetable:
Wed 10 May, 12:10 - 12:40, Aula Dini
<< Go back