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We propose a continuous-time multi-option nonlinear generalization of classical linear weighted-average opinion dynamics. Nonlinearity is introduced by saturating opinion exchanges, and this is enough to enable a significantly greater range…

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

Krause's model of opinion dynamics has recently been the object of several studies, partly because it is one of the simplest multi-agent systems involving position-dependent changing topologies. In this model, agents have an opinion…

Physics and Society · Physics 2008-06-03 Julien M. Hendrickx

We study a model of opinion dynamics introduced by Krause: each agent has an opinion represented by a real number, and updates its opinion by averaging all agent opinions that differ from its own by less than 1. We give a new proof of…

Multiagent Systems · Computer Science 2009-03-13 Vincent D. Blondel , Julien M. Hendrickx , John N. Tsitsiklis

Structural balance theory has been developed in sociology and psychology to explain how interacting agents, e.g., countries, political parties, opinionated individuals, with mixed trust and mistrust relationships evolve into polarized…

Social and Information Networks · Computer Science 2016-05-27 Weiguo Xia , Ming Cao , Karl Henrik Johansson

We study the evolution of opinions on a directed network with community structure. Individuals update their opinions synchronously based on a weighted average of their neighbors' opinions, their own previous opinions, and external media…

Probability · Mathematics 2024-01-17 Panagiotis Andreou , Mariana Olvera-Cravioto

We introduce the confident voter model, in which each voter can be in one of two opinions and can additionally have two levels of commitment to an opinion --- confident and unsure. Upon interacting with an agent of a different opinion, a…

Physics and Society · Physics 2015-03-19 D. Volovik , S. Redner

Formation of consensus, in binary yes/no type of voting, is a well defined process. However, even in presence of clear incentives, the dynamics involved can be incredibly complex. Specifically, formations of large groups of similarly…

Physics and Society · Physics 2020-08-14 Sudip Mukherjee , Soumyajyoti Biswas , Parongama Sen

We investigate the dynamics of the majority-rule opinion formation model when voters experience differential latencies. With this extension, voters that just adopted an opinion go into a latent state during which they are excluded from the…

Physics and Society · Physics 2015-03-17 Alexander Scheidler

Political polarization is perceived as a threat to democracies. Using the Galam model of opinion dynamics deployed in a five-dimensional parameter space, I show that polarization is the byproduct of an essential hallmark of a vibrant…

Physics and Society · Physics 2023-07-19 Serge Galam

The spontaneous formation and subsequent growth, dissolution, merger and competition of social groups bears similarities to physical phase transitions in metastable finite systems. We examine three different scenarios, percolation, spinodal…

Physics and Society · Physics 2022-09-22 Frank Schweitzer , Georges Andres

We investigate the impact of noise and topology on opinion diversity in social networks. We do so by extending well-established models of opinion dynamics to a stochastic setting where agents are subject both to assimilative forces by their…

Social and Information Networks · Computer Science 2021-04-15 Samuel Stern , Giacomo Livan

Within the framework of a simple model for social influence, the Taylor model, we analytically investigate the role of stubborn agents in the overall opinion dynamics of networked systems. Similar to zealots, stubborn agents are biased…

Physics and Society · Physics 2020-07-07 Fabian Baumann , Igor. M Sokolov , Melvyn Tyloo

Opinion Dynamics is an interdisciplinary area of research. Psychology and Sociology have proposed models of how individuals form opinions and how social interactions influence this process. Socio-Physicists have interpreted patterns in…

Multiagent Systems · Computer Science 2024-07-03 Sudhakar Krisharao , Shaja Arul Selvamani

Opinion dynamics have fascinated researchers for centuries. The ability of societies to learn as well as the emergence of irrational {\it herding} are equally evident. The simplest example is that of agents that have to determine a binary…

Social and Information Networks · Computer Science 2017-04-07 Amir Leshem , Anna Scaglione

Polarization, defined as the emergence of sharply divided groups with opposing and often extreme views, is an increasingly prominent feature of modern societies. While many studies analyze this phenomenon in the context of single issues,…

Polarization is a problem in modern society. Understanding how opinions evolve through social interactions is crucial for addressing conditions that lead to polarization, consensus, or opinion diversity. Classical opinion dynamics models…

Physics and Society · Physics 2026-03-06 Brian Mintz , Daniel Simonson , Dominik Wodarz , Feng Fu , Natalia L. Komarova

In this manuscript, we introduce and study a variant of the agent-based opinion dynamics proposed in a recent work [8], within the framework of an interacting multi-agent system, where agents are assumed to interact with each other and…

Probability · Mathematics 2026-01-30 Fei Cao , Roberto Cortez

We discuss the process of opinion formation in a completely homogeneous, democratic population using a class of probabilistic cellular automata models with two absorbing states. Each individual can have one of two opinions that can change…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Franco Bagnoli , Fabio Franci , Raúl Rechtman

We study noise sensitivity of the consensus opinion of the voter model on finite graphs, with respect to noise affecting the initial opinions and noise affecting the dynamics. We prove that the final opinion is stable with respect to small…

Probability · Mathematics 2022-10-11 Gideon Amir , Omer Angel , Rangel Baldasso , Ron Peretz

The focus of this work is on designing influencing strategies to shape the collective opinion of a network of individuals. We consider a variant of the voter model where opinions evolve in one of two ways. In the absence of external…

Social and Information Networks · Computer Science 2020-02-04 Anmol Gupta , Sharayu Moharir , Neeraja Sahasrabudhe