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We propose an agent-based model of collective opinion formation to study the wisdom of crowds under social influence. The opinion of an agent is a continuous positive value, denoting its subjective answer to a factual question. The wisdom…

Physics and Society · Physics 2020-08-25 Pavlin Mavrodiev , Frank Schweitzer

The Hegselmann-Krause system (HK system for short) is one of the most popular models for the dynamics of opinion formation in multiagent systems. Agents are modeled as points in opinion space, and at every time step, each agent moves to the…

Data Structures and Algorithms · Computer Science 2015-03-06 Arnab Bhattacharyya , Kirankumar Shiragur

In this paper we examine a variant of the voter model on a dynamically changing network where agents have the option of changing their friends rather than changing their opinions. We analyse, in the context of dense random graphs, two…

Probability · Mathematics 2015-01-14 Riddhipratim Basu , Allan Sly

The convergence rate is a crucial issue in opinion dynamics, which characterizes how quickly opinions reach a consensus and tells when the collective behavior can be formed. However, the key factors that determine the convergence rate of…

Optimization and Control · Mathematics 2024-09-17 Lingling Yao , Aming Li

We study a variant of the voter model with multiple opinions; individuals can imitate each other and also change their opinion randomly in mutation events. We focus on the case of a population with all-to-all interaction. A noise-driven…

Physics and Society · Physics 2019-08-14 Francisco Herrerías-Azcué , Tobias Galla

Statistical mechanics has proven to be able to capture the fundamental rules underlying phenomena of social aggregation and opinion dynamics, well studied in disciplines like sociology and psychology. This approach is based on the…

Physics and Society · Physics 2017-03-09 Daniele Vilone , Timoteo Carletti , Franco Bagnoli , Andrea Guazzini

We propose and study a model for the interplay between two different dynamical processes --one for opinion formation and the other for decision making-- on two interconnected networks $A$ and $B$. The opinion dynamics on network $A$…

Physics and Society · Physics 2016-10-04 L. G. Alvarez-Zuzek , C. E. La Rocca , F. Vazquez , L. A. Braunstein

We investigate the formation of opinion against authority in an authoritarian society composed of agents with different levels of authority. We explore a "dissenting" opinion, held by lower-ranking, obedient, or less authoritative people,…

Physics and Society · Physics 2018-04-10 Eun Lee , Petter Holme , Sang Hoon Lee

We study a model of opinion formation where the opinions in conflict are not equivalent. This is the case when the subject of the decision is to respect a norm or a law. In such scenarios, one of the possible behaviors is to abide by the…

Physics and Society · Physics 2010-03-29 M. F. Laguna , G. Abramson , S. Risau-Gusman , J. R. Iglesias

This paper proposes a dual opinions co-evolution model based on the dual attitudes theory in social psychology, where every individual has dual opinions of an object: implicit and explicit opinions. The implicit opinions are individuals'…

Physics and Society · Physics 2023-06-21 Qi Zhang , Lin Wang , Xiaofan Wang

We analyze the evolution of political organizations using a model in which agents change their opinions via two competing mechanisms. Two agents may interact and reach consensus, and additionally, individual agents may spontaneously change…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim

We propose a three-state microscopic opinion formation model for the purpose of simulating the dynamics of financial markets. In order to mimic the heterogeneous composition of the mass of investors in a market, the agent-based model…

Physics and Society · Physics 2019-05-14 Bernardo J. Zubillaga , André L. M. Vilela , Chao Wang , Kenric P. Nelson , H. Eugene Stanley

In this paper we propose and investigate a multi-dimensional opinion dynamics model where people are characterised by both opinions and importance weights across these opinions. Opinion changes occur through binary interactions, with a…

Physics and Society · Physics 2026-01-12 Hanna Bartel , Martin Burger , Marie-Therese Wolfram

In the compromise model of Deffuant et al., opinions are real numbers between 0 and 1 and two agents are compatible if the difference of their opinions is smaller than the confidence bound parameter \epsilon. The opinions of a randomly…

Statistical Mechanics · Physics 2009-11-10 Santo Fortunato

Possibility of reaching a consensus in social systems with strong initial fragmentation is one of the most interesting issues in sociopysics. It is also intriguing what the dynamics of such processes is. To address those problems, we…

Physics and Society · Physics 2024-06-10 Maciej Wołoszyn , Tomasz Masłyk , Szymon Pająk , Krzysztof Malarz

Unlike many complex networks studied in the literature, social networks rarely exhibit unanimous behavior, or consensus. This requires a development of mathematical models that are sufficiently simple to be examined and capture, at the same…

Systems and Control · Computer Science 2017-10-16 Sergey E. Parsegov , Anton V. Proskurnikov , Roberto Tempo , Noah E. Friedkin

We study a stochastic model of anonymous influence with conformist and anti-conformist individuals. Each agent with a `yes' or `no' initial opinion on a certain issue can change his opinion due to social influence. We consider anonymous…

Social and Information Networks · Computer Science 2019-06-17 Michel Grabisch , Alexis Poindron , Agnieszka Rusinowska

Since the information available is fundamental for our perceptions and opinions, we are interested in understanding the conditions allowing for a good information to be disseminated. This paper explores opinion dynamics by means of…

Social and Information Networks · Computer Science 2015-03-17 Walter Quattrociocchi , Rosaria Conte , Elena Lodi

We study the opinion dynamics in a population by considering a variant of Kuramoto model where the phase of an oscillator represents the opinion of an individual on a single topic. Two extreme phases separated by $\pi$ represent opposing…

Physics and Society · Physics 2025-12-04 Sidharth Pradhan , Sangeeta Rani Ujjwal

Motivated by empirical research on bias and opinion formation, we formulate a multidimensional nonlinear opinion-dynamical model where agents have individual biases, which are fixed, as well as opinions, which evolve. The dimensions…

Systems and Control · Electrical Eng. & Systems 2024-05-14 Luka Baković , David Ohlin , Giacomo Como , Emma Tegling
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