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This paper models information diffusion in a network of Large Language Models (LLMs) that is designed to answer queries from distributed datasets, where the LLMs can hallucinate the answer. We introduce a two-time-scale dynamical model for…

Social and Information Networks · Computer Science 2025-04-22 Adit Jain , Vikram Krishnamurthy , Yiming Zhang

We study the dynamics and intervention strategies of a rumor using the modified Maki-Thompson model. A key challenge in social networks is distinguishing between natural increases in transmissibility and artificial injections of rumor…

Physics and Society · Physics 2026-03-11 Eva Rifà , Julian Vicens , Emanuele Cozzo

This paper analyzes a cheap-talk model with multiple senders and one receiver. Each sender observes a noisy signal about an unknown state and sends a message; the receiver observes the message tally and chooses a policy. This setting shares…

Theoretical Economics · Economics 2026-05-12 Kailin Chen

We consider the problem of distributed inference where agents in a network observe a stream of private signals generated by an unknown state, and aim to uniquely identify this state from a finite set of hypotheses. We focus on scenarios…

Systems and Control · Electrical Eng. & Systems 2021-09-01 Aritra Mitra , John A. Richards , Saurabh Bagchi , Shreyas Sundaram

We present an algorithm for the problem of linear distributed estimation of a parameter in a network where a set of agents are successively taking measurements. The approach considers a roaming token in a network that carries the estimate,…

Systems and Control · Computer Science 2018-07-05 Lucas Balthazar , João Xavier , Bruno Sinopoli

We consider weakly interacting diffusions on time varying random graphs. The system consists of a large number of nodes in which the state of each node is governed by a diffusion process that is influenced by the neighboring nodes. The…

Probability · Mathematics 2017-02-16 Shankar Bhamidi , Amarjit Budhiraja , Ruoyu Wu

The original Deffuant model consists of a finite number of agents whose opinion is a number in $[0,1]$. Two socially connected agents are uniformly randomly selected at each time step and approach each other at a rate $\mu\in [0,1/2]$ if…

Probability · Mathematics 2021-12-07 Hsin-Lun Li

We study a social learning scheme where at every time instant, each agent chooses to receive information from one of its neighbors at random. We show that under this sparser communication scheme, the agents learn the truth eventually and…

Multiagent Systems · Computer Science 2022-05-13 Yunus Inan , Mert Kayaalp , Emre Telatar , Ali H. Sayed

Recent empirical studies have confirmed the key roles of complex contagion mechanisms such as memory, social reinforcement, and decay effects in information diffusion and behaviour spreading. Inspired by this fact, we here propose a new…

Physics and Society · Physics 2014-08-20 Pengbi Cui , Ming Tang , Zhi-Xi Wu

We consider open multi-agent systems, which are systems subject to frequent arrivals and departures of agents while the studied process takes place. We study the behavior of all-to-all pairwise gossip interactions in such open systems.…

Multiagent Systems · Computer Science 2022-03-17 Charles Monnoyer de Galland , Samuel Martin , Julien M. Hendrickx

A network of agents attempt to learn some unknown state of the world drawn by nature from a finite set. Agents observe private signals conditioned on the true state, and form beliefs about the unknown state accordingly. Each agent may face…

Machine Learning · Computer Science 2015-03-13 Shahin Shahrampour , Mohammad Amin Rahimian , Ali Jadbabaie

Rumor propagation modeling is critical for understanding and mitigating misinformation. Existing approaches combining rule-based regular agents with LLM-driven core agents provide a promising paradigm for large-scale rumor simulation.…

Social and Information Networks · Computer Science 2026-01-12 Yijun Liu , Wu Liu , Xiaoyan Gu , Hantao Yao , Weiping Wang , Jiebo Luo , Yongdong Zhang

A new mechanism, the forget-remember mechanism, is proposed for studying the spreading process in 2-state model. Such mechanism exhibits behaviors of message spreading influenced by some kinds of functions about time and history caring…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 J. Gu , X. Cai

We introduce a model of interacting random walkers on a finite one dimensional chain with absorbing boundaries or targets at the ends. Walkers are of two types: informed particles that move ballistically towards a given target, and…

Statistical Mechanics · Physics 2015-02-20 Ricardo Martinez-Garcia , Cristobal Lopez , Federico Vazquez

We study how to jointly recover the community structure and estimate the interaction probabilities of gossip opinion dynamics. In this process, agents randomly interact pairwise, and there are stubborn agents never changing their states.…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Yu Xing , Xingkang He , Haitao Fang , Karl H. Johansson

We model the communication of narratives as a cheap-talk game under model uncertainty. The sender has private information about the true data generating process of publicly observable data. The receiver is uncertain about how to interpret…

Theoretical Economics · Economics 2025-07-09 Gerrit Bauch , Manuel Foerster

We introduce a general methodology of update rules accounting for arbitrary interevent time distributions in simulations of interacting agents. In particular we consider update rules that depend on the state of the agent, so that the update…

Physics and Society · Physics 2011-07-19 Juan Fernández-Gracia , V. M. Eguíluz , M. San Miguel

A team of mobile agents, starting from different nodes of an unknown network, possibly at different times, have to meet at the same node and declare that they have all met. Agents have different labels and move in synchronous rounds along…

Data Structures and Algorithms · Computer Science 2019-09-02 Sébastien Bouchard , Yoann Dieudonné , Andrzej Pelc

By the distributed averaging problem is meant the problem of computing the average value of a set of numbers possessed by the agents in a distributed network using only communication between neighboring agents. Gossiping is a well-known…

Optimization and Control · Mathematics 2016-12-28 Ji Liu , Shaoshuai Mou , A. Stephen Morse , Brian D. O. Anderson , Changbin Yu

Rumors have ignited revolutions, undermined the trust in political parties, or threatened the stability of human societies. Such destructive potential has been significantly enhanced by the development of on-line social networks. Several…

Physics and Society · Physics 2023-03-22 Hugo P. Maia , Silvio C. Ferreira , Marcelo L. Martins