Optimal control of a kinetic model describing social interactions on a graph

J Franceschi, N Loy - arxiv preprint arxiv:2409.13542, 2024 - arxiv.org
In this paper we introduce the optimal control of a kinetic model describing agents who
migrate on a graph and interact within its nodes exchanging a physical quantity. As a …

Asymptotic and stability analysis of kinetic models for opinion formation on networks: an Allen-Cahn approach

M Burger, N Loy, A Rossi - arxiv preprint arxiv:2407.03375, 2024 - arxiv.org
We present the analysis of the stationary equilibria and their stability in case of an opinion
formation process in presence of binary opposite opinions evolving according to majority …

A kinetic description of the goods exchange market allowing transfer of agents

R Sun, D Wang - Chinese Physics B, 2025 - iopscience.iop.org
In order to avoid the worsening of wealth inequality, it is necessary to explore the influence
factors of wealth distribution and discuss the measures to reduce wealth inequality. We …

Kinetic Equations for Many-Agent Systems On Large Networks: Emerging Patterns and Data-Oriented Approaches

J Franceschi - 2025 - iris.unipv.it
This thesis presents various kinetic models (mainly of Boltzmann-type) for multi-agent
systems over social networks. Each chapter is largely based on original work either …

Optimal Control of a Kinetic Model Describing Social Interactions on a Graph

N Loy, J Franceschi - Available at SSRN 5009909 - papers.ssrn.com
In this paper we introduce the optimal control of a kinetic model describing agents who
migrate on a graph and interact within its nodes exchanging a physical quantity. As a …

[PDF][PDF] Kinetic models for multi-agent systems with multiple microscopic states

N Loy - 2023 - ljll.fr
1cmKinetic models for multi-agent systems with multiple microscopic states Page 1 Kinetic
models for multi-agent systems with multiple microscopic states Nadia Loy January 20, 2023 …