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We develop a model-independent framework to study the dynamics of decision-making in opinion networks for an arbitrary number of agents and an arbitrary number of options. Model-independence means that the analysis is not performed on a…

Optimization and Control · Mathematics 2020-09-10 Alessio Franci , Martin Golubitsky , Anastasia Bizyaeva , Naomi Ehrich Leonard

Many models have been proposed to analyze the evolution of opinion structure due to the interaction of individuals in their social environment. Such models analyze the spreading of ideas both in completely interacting backgrounds and on…

Physics and Society · Physics 2015-03-13 F. Gargiulo , S. Huet

We study the evolution of opinions (or beliefs) over a social network modeled as a signed graph. The sign attached to an edge in this graph characterizes whether the corresponding individuals or end nodes are friends (positive links) or…

Social and Information Networks · Computer Science 2015-08-17 Guodong Shi , Alexandre Proutiere , Mikael Johansson , John S. Baras , Karl H. Johansson

This paper addresses the problem of distributed learning of average belief with sequential observations, in which a network of $n>1$ agents aim to reach a consensus on the average value of their beliefs, by exchanging information only with…

Multiagent Systems · Computer Science 2018-11-20 Kaiqing Zhang , Yang Liu , Ji Liu , Mingyan Liu , Tamer Başar

In this paper we show that the small world and weak ties phenomena can spontaneously emerge in a social network of interacting agents. This dynamics is simulated in the framework of a simplified model of opinion diffusion in an evolving…

Physics and Society · Physics 2014-01-10 T. Carletti , D. Fanelli , S. Righi

This article is concerned with a general class of stochastic spatial models for the dynamics of opinions. Like in the voter model, individuals are located on the vertex set of a connected graph and update their opinion at a constant rate…

Probability · Mathematics 2014-12-16 Nicolas Lanchier , Stylianos Scarlatos

We present two models of continuous opinion dynamics under bounded confidence which are representable as nonnegative discrete dynamical systems, namely the Hegselmann-Krause model (Hegselmann and Krause, Journal of Artificial Societies and…

Physics and Society · Physics 2008-06-11 Jan Lorenz

We study a DeGroot-like opinion dynamics model in which agents may oppose other agents. As an underlying motivation, in our setup, agents want to adjust their opinions to match those of the agents of their 'in-group' and, in addition, they…

Multiagent Systems · Computer Science 2016-11-02 Steffen Eger

We consider the problem of optimizing the placement of stubborn agents in a social network in order to maximally influence the population. We assume the network contains stubborn users whose opinions do not change, and non-stubborn users…

Social and Information Networks · Computer Science 2022-07-13 D. Scott Hunter , Tauhid Zaman

Usually, opinion formation models assume that individuals have an opinion about a given topic which can change due to interactions with others. However, individuals can have different opinions in different topics and therefore n-dimensional…

Physics and Society · Physics 2021-09-22 Lucia Pedraza , Juan Pablo Pinasco , Nicolas Saintier , Pablo Balenzuela

Opinion dynamics on social networks have been received considerable attentions in recent years. Nevertheless, just a few works have theoretically analyzed the condition in which a certain opinion can spread in the whole structured…

Computer Science and Game Theory · Computer Science 2022-08-31 Zhifang Li , Xiaojie Chen , Han-Xin Yang , Attila Szolnoki

A simple model of opinion formation dynamics in which binary-state agents make up their opinions due to the influence of agents in a local neighborhood is studied using different network topologies. Each agent uses two different strategies,…

Statistical Mechanics · Physics 2009-11-11 A. O. Sousa , J. R. Sanchez

In opinion dynamics, time delays in agent-to-agent interactions are ubiquitous, which can substantially disrupt the dynamical processes rooted in agents' opinion exchange, decision-making, and feedback mechanisms. However, a thorough…

Optimization and Control · Mathematics 2025-01-22 Lingling Yao , Aming Li

For a group of autonomous communicating agents, the ability to distinguish a meaningful input from disturbance, and come to collective agreement or disagreement in response to that input, is paramount for carrying out coordinated…

Optimization and Control · Mathematics 2023-11-07 Anastasia Bizyaeva , Timothy Sorochkin , Alessio Franci , Naomi Ehrich Leonard

Consider a network whose nodes have some initial values, and it is desired to design an algorithm that builds on neighbor to neighbor interactions with the ultimate goal of convergence to the average of all initial node values or to some…

Optimization and Control · Mathematics 2014-09-16 Mahmoud El Chamie , Ji Liu , Tamer Başar

Affective polarization, the emotional divide characterized by in-group love (trust towards fellow partisans) and out-group hate (mistrust towards those with opposite political views), has become prevalent in the current society. Despite its…

Physics and Society · Physics 2026-03-31 Alisson Serracín Morales , Buddhika Nettasinghe

We study the Consensus problem among $n$ agents, defined as follows. Initially, each agent holds one of two possible opinions. The goal is to reach a consensus configuration in which every agent shares the same opinion. To this end, agents…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-18 Petra Berenbrink , Amin Coja-Oghlan , Oliver Gebhard , Max Hahn-Klimroth , Dominik Kaaser , Malin Rau

Often exhibiting hierarchical and overlapping structures, communities or modular groups are fundamental and complex in network science. One of the most exploited tools to detect the mesoscopic structure is synchronization. Several phenomena…

Physics and Society · Physics 2018-07-05 Ren Ren , Jinliang Shao

Awerbuch et al.'s approach to distributed recommender systems (DRSs) is to have agents sample products at random while randomly querying one another for the best item they have found; we improve upon this by adding a communication network.…

Machine Learning · Computer Science 2007-05-23 Hamilton Link , Jared Saia , Terran Lane , Randall A. LaViolette

Polarization is a well-documented phenomenon across a wide range of social issues. However, prevailing theories often compartmentalize the examination of herding behavior and opinion convergence within different contexts. In this study, we…

Theoretical Economics · Economics 2024-05-03 Ugo Bolletta , Paolo Pin
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