Learning dynamics from online-offline systems of LLM agents

πŸ“… 2026-02-26
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This study investigates how real-world events and personality traits of large language model (LLM) agents jointly shape online information diffusion, revealing their connections to system dynamics and real-world instability. By constructing an agent-based model in which LLM agents endowed with 32 distinct personality traits disseminate news about armed conflicts across a k-regular random network, and by deriving a system of ordinary differential equations via mean-field approximation, this work pioneers the integration of LLM personality and event type into diffusion modeling. The findings demonstrate that, despite the high complexity of individual behaviors, the aggregate propagation dynamics can be effectively captured by a simplified SI model with only two transmission rates, highlighting an underlying simplicity in complex information diffusion processes.

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πŸ“ Abstract
Online information is increasingly linked to real-world instability, especially as automated accounts and LLM-based agents help spread and amplify news. In this work, we study how information spreads on networks of Large Language Models (LLMs) using mathematical models. We investigate how different types of offline events, along with the"personalities"assigned to the LLMs, affect the network dynamics of online information spread of the events among the LLMs. We introduce two models: 1) a stochastic agent-based network model and 2) a system of differential equations arising from a mean-field approximation to the agent-based model. We fit these models to simulations of the spread of armed-conflict news on social media, using LLM agents each with one of 32 personality trait profiles on k-regular random networks. Our results indicate that, despite the complexity of the news events, personalities, and LLM behaviors, the overall dynamics of the system are well described by a Susceptible-Infected (SI) type model with two transmission rates.
Problem

Research questions and friction points this paper is trying to address.

LLM agents
information spread
network dynamics
personality traits
online-offline systems
Innovation

Methods, ideas, or system contributions that make the work stand out.

LLM agents
personality traits
information diffusion
agent-based modeling
mean-field approximation
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