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In this paper, a model for a spatial network evolution based on a Metropolis simulation is presented. The model uses an energy function that depends both on the distance between the nodes and the stated preferences. The agents influence…

Physics and Society · Physics 2019-10-23 André C. R. Martins

Understanding social polarization requires integrating insights from psychology, sociology, and complex systems science. Agent-based modeling provides a natural framework to combine perspectives from different fields and explore how…

Physics and Society · Physics 2026-04-22 Alina Dubovskaya , David J. P. O'Sullivan , Michael Quayle

We develop a new formulation of deep learning based on the Mori-Zwanzig (MZ) formalism of irreversible statistical mechanics. The new formulation is built upon the well-known duality between deep neural networks and discrete dynamical…

Machine Learning · Computer Science 2023-05-23 Daniele Venturi , Xiantao Li

This paper introduces a model for opinion dynamics, where at each time step, randomly selected agents see their opinions - modeled as scalars in [0,1] - evolve depending on a local interaction function. In the classical Bounded Confidence…

Multiagent Systems · Computer Science 2020-06-11 Elisabetta Cornacchia , Neta Singer , Emmanuel Abbe

We study a stochastic model for the coevolution of a process of opinion formation in a population of agents and the network which underlies their interaction. Interaction links can break when agents fail to reach an opinion agreement. The…

Statistical Mechanics · Physics 2009-11-11 Santiago Gil , Damian H. Zanette

This paper introduces a class of non-linear and continuous-time opinion dynamics model with additive noise and state dependent interaction rates between agents. The model features interaction rates which are proportional to a negative power…

Probability · Mathematics 2020-12-15 Jae Oh Woo , François Baccelli , Sriram Vishwanath

Recent studies show that many types of human social activities, from scientific collaborations to sexual contacts, can be understood in terms of complex network of interactions. Such networking paradigm allows to model many aspects of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Pawel Sobkowicz

Far beyond its relevance for commercial and political marketings, opinion formation and decision making processes are central for representative democracy, government functioning, and state organization. In the present report, a stochastic…

Physics and Society · Physics 2022-10-11 Hugo P. Maia , Silvio C. Ferreira , Marcelo L. Martins

We present a model of opinion dynamics in which agents adjust continuous opinions as a result of random binary encounters whenever their difference in opinion is below a given threshold. High thresholds yield convergence of opinions towards…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gerard Weisbuch , Guillaume Deffuant , Frederic Amblard , Jean Pierre Nadal

We study opinion dynamics in a social network with stubborn agents who influence their neighbors but who themselves always stick to their initial opinion. We consider first the well-known DeGroot model. While it is known in the literature…

Social and Information Networks · Computer Science 2021-01-01 Olle Abrahamsson , Danyo Danev , Erik G. Larsson

In this paper, we develop a variational method to track and make predictions about a real-world system from continuous imperfect observations about this system, using an agent-based model that describes the system dynamics. By combining the…

Multiagent Systems · Computer Science 2016-05-17 Wen Dong

We study a neuro-inspired model that mimics a discussion (or information dissemination) process in a network of agents. During their interaction, agents redistribute activity and network weights, resulting in emergence of leader(s). The…

Physics and Society · Physics 2017-10-26 Armen E. Allahverdyan , Aram Galstyan

We study damage spreading among the opinions of a system of agents, subjected to the dynamics of the Krause-Hegselmann consensus model. The damage consists in a sharp change of the opinion of one or more agents in the initial random opinion…

Statistical Mechanics · Physics 2009-11-10 Santo Fortunato

In a social network, individuals express their opinions on several interdependent topics, and therefore the evolution of their opinions on these topics is also mutually dependent. In this work, we propose a differential game model for the…

Social and Information Networks · Computer Science 2024-02-23 Hossein B. Jond , Aykut Yıldız

The Naming Game is a classic model for studying the emergence and evolution of language within a population. In this paper, we extend the traditional Naming Game model to encompass multiple committed opinions and investigate the system…

Social and Information Networks · Computer Science 2024-07-22 Cheng Ma , Brendan Cross , Gyorgy Korniss , Boleslaw K. Szymanski

We study a kinetic multi-agent framework coupling opinion dynamics with epidemic spreading, where individual social behaviour both affects and is affected by disease transmission. Each agent is characterised by an epidemiological state and…

Physics and Society · Physics 2026-03-13 Juan Pablo Pinasco , Nicolas Saintier , Horacio Tettamanti , Mattia Zanella

The Minority Game (MG) is a basic multi-agent model representing a simplified and binary form of the bar attendance model of Arthur. The model has an informationally efficient phase in which the agents lack the capability of exploiting any…

Disordered Systems and Neural Networks · Physics 2007-05-23 K. P. Chan , Pak Ming Hui , Neil F. Johnson

We investigate a variation of the classical voter model in which the set of influencing agents depends on an individual's current opinion. The initial population consists of a random sample of equally sized sub-populations for each state,…

Physics and Society · Physics 2025-09-30 Francisco J. Muñoz , Juan Carlos Nuño

Memory-augmented LLM agents have advanced personalized recommendation, yet existing approaches universally adopt flat memory representations that conflate ephemeral signals with stable preferences, and none provides a complete lifecycle…

Computation and Language · Computer Science 2026-05-18 Xiang Shen , Yuhang Zhou , Yifan Wu , Zhuokai Zhao , Siyu Lin , Lei Huang , Qianqian Zhong , Lizhu Zhang , Benyu Zhang , Xiangjun Fan , Hong Yan

We study joint learning of network topology and a mixed opinion dynamics, in which agents may have different update rules. Such a model captures the diversity of real individual interactions. We propose a learning algorithm based on…

Social and Information Networks · Computer Science 2023-06-29 Yu Xing , Xudong Sun , Karl H. Johansson