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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

Empirical studies suggest a deep intertwining between opinion formation and decision-making processes, but these have been treated as separate problems in the study of dynamical models for social networks. In this paper, we bridge the gap…

Systems and Control · Electrical Eng. & Systems 2024-10-24 Hassan Dehghani Aghbolagh , Mengbin Ye , Lorenzo Zino , Ming Cao , Zhiyong Chen

We study the evolution of opinions inside a population of interacting large language models (LLMs). Every LLM needs to decide how much funding to allocate to an item with three initial possibilities: full, partial, or no funding. We…

Multiagent Systems · Computer Science 2024-09-26 Pedro Cisneros-Velarde

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

This article contributes in four ways to the research on time-discrete continuous opinion dynamics with compromising agents. First, communication regimes are introduced as an elementary concept of opinion dynamic models. Second, we develop…

Physics and Society · Physics 2007-08-27 Diemo Urbig , Jan Lorenz

Recently, social phenomena have received a lot of attention not only from social scientists, but also from physicists, mathematicians and computer scientists, in the emerging interdisciplinary field of complex system science. Opinion…

Physics and Society · Physics 2016-05-23 Alina Sîrbu , Vittorio Loreto , Vito D. P. Servedio , Francesca Tria

We introduce the threshold $q$-voter opinion dynamics where an agent, facing a binary choice, can change its mind when at least $q_0$ amongst $q$ neighbors share the opposite opinion. Otherwise, the agent can still change its mind with a…

Physics and Society · Physics 2018-07-11 Allan R. Vieira , Celia Anteneodo

Opinion Dynamics lacks a theoretical basis. In this article, I propose to use a decision-theoretic framework, based on the updating of subjective probabilities, as that basis. We will see we get a basic tool for a better understanding of…

Physics and Society · Physics 2012-11-21 Andre C. R. Martins

We study transient behavior of gossip opinion dynamics, in which agents randomly interact pairwise over a weighted graph with two communities. Edges within a community have identical weights different from edge weights between communities.…

Physics and Society · Physics 2023-12-06 Yu Xing , Karl H. Johansson

A continuous-opinion model accounting for the social compromise propensity is theoretically and numerically analysed. An agent's opinion is represented by a real number that can be changed through social interactions with her neighbours.…

Physics and Society · Physics 2025-10-09 Carlos Uriarte , Pablo Rodriguez-Lopez , Nagi Khalil

The weighted median mechanism provides a robust alternative to weighted averaging in opinion dynamics. Existing models, however, are predominantly formulated on pairwise interaction graphs, which limits their ability to represent…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Lingrui Chen , Xu Zhang , Fanpeng Song , Fang Wang , Cunquan Qu , Zhixin Liu

In traditional models of opinion dynamics, each agent in a network has an opinion and changes in opinions arise from pairwise (i.e., dyadic) interactions between agents. However, in many situations, groups of individuals possess a…

Physics and Society · Physics 2025-04-15 Corbit R. Sampson , Juan G. Restrepo , Mason A. Porter

We survey some recent developments on the mathematical modeling of opinion dynamics. After an introduction on opinion modeling through interacting multi-agent systems described by partial differential equations of kinetic type, we focus our…

Physics and Society · Physics 2016-07-21 Giacomo Albi , Lorenzo Pareschi , Giuseppe Toscani , Mattia Zanella

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

A society of agents, with ideological positions, or "opinions" measured by real values ranging from $-\infty$ (the "far left") to $+\infty$ (the "far right"), is considered. At fixed (unit) time intervals agents repeatedly reconsider and…

Multiagent Systems · Computer Science 2019-06-06 Dmitry Rabinovich , Alfred M. Bruckstein

The heterogeneity of the influence processes is an important feature of social systems: how we perceive social influence and how we influence other individuals is heavily influenced by our opinion and non-opinion attributes. The latter…

Social and Information Networks · Computer Science 2022-09-07 Ivan V. Kozitsin

Axelrod model is an opinion dynamics model such that each agent on a square lattice has a finite number of possible nominal opinions on a finite number of issues that are usually called features in the field. Moreover, its dynamics between…

Physics and Society · Physics 2026-05-07 X. Zou , H. F. Chau

Natural and artificial collectives exhibit heterogeneities across different dimensions, contributing to the complexity of their behavior. We investigate the effect of two such heterogeneities on collective opinion dynamics: heterogeneity of…

Physics and Society · Physics 2024-02-07 Vito Mengers , Mohsen Raoufi , Oliver Brock , Heiko Hamann , Pawel Romanczuk

We investigate an averaging process that describes how interacting agents approach consensus through binary interactions. In each elementary step, two agents are selected at random and they reach compromise by adopting their opinion…

Statistical Mechanics · Physics 2021-11-23 E. Ben-Naim , P. L. Krapivsky

People often interact repeatedly: with relatives, through file sharing, in politics, etc. Many such interactions are reciprocal: reacting to the actions of the other. In order to facilitate decisions regarding reciprocal interactions, we…

Computer Science and Game Theory · Computer Science 2016-03-01 Gleb Polevoy , Mathijs de Weerdt , Catholijn Jonker