Boltzmann games in heterogeneous consensus dynamics
Optimization and Control
2017-12-12 v1 Adaptation and Self-Organizing Systems
Physics and Society
Abstract
We consider a constrained hierarchical opinion dynamics in the case of leaders' competition and with complete information among leaders. Each leaders' group tries to drive the followers' opinion towards a desired state accordingly to a specific strategy. By using the Boltzmann-type control approach we analyze the best-reply strategy for each leaders' population. Derivation of the corresponding Fokker-Planck model permits to investigate the asymptotic behaviour of the solution. Heterogeneous followers populations are then considered where the effect of knowledge impacts the leaders' credibility and modifies the outcome of the leaders' competition.
Keywords
Cite
@article{arxiv.1712.03224,
title = {Boltzmann games in heterogeneous consensus dynamics},
author = {Giacomo Albi and Lorenzo Pareschi and Mattia Zanella},
journal= {arXiv preprint arXiv:1712.03224},
year = {2017}
}