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Related papers: Consensus formation on a triad scale-free network

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We study the effects of campaigning, where the society is partitioned into voter clusters and a diffusion process propagates opinions in a network connecting the clusters. Our model is very powerful and can incorporate many campaigning…

Multiagent Systems · Computer Science 2020-10-05 Piotr Faliszewski , Rica Gonen , Martin Koutecký , Nimrod Talmon

The voter model is an archetypal stochastic process that represents opinion dynamics. In each update, one agent is chosen uniformly at random. The selected agent then copies the current opinion of a randomly selected neighbour. We…

Physics and Society · Physics 2020-11-20 Michael T. Gastner , Kota Ishida

The vectorial Deffuant model is a simple stochastic process for the dynamics of opinions that also includes a confidence threshold. To understand the role of space in this type of social interactions, we study the process on the…

Probability · Mathematics 2014-05-08 Nicolas Lanchier , Stylianos Scarlatos

The existence of juxtaposed regions of distinct cultures in spite of the fact that people's beliefs have a tendency to become more similar to each other's as the individuals interact repeatedly is a puzzling phenomenon in the social…

Computational Physics · Physics 2010-11-05 Lucas R. Peres , Jose F. Fontanari

A simple model for simulating tug of war game as varying the player number in a team is discussed to identify the slow pace of fast change. This model shows that a large number of information sources leads slow change for the system. Also,…

Physics and Society · Physics 2008-07-29 Woo-Sung Jung , Hie-Tae Moon , H. Eugene Stanley

We present a short review based on the nonlinear $q$-voter model about problems and methods raised within statistical physics of opinion formation (SPOOF). We describe relations between models of opinion formation, developed by physicists,…

Physics and Society · Physics 2019-09-24 Arkadiusz Jędrzejewski , Katarzyna Sznajd-Weron

How does social network structure amplify or stifle behavior diffusion? Existing theory suggests that when social reinforcement makes the adoption of behavior more likely, it should spread more -- both farther and faster -- on clustered…

Social and Information Networks · Computer Science 2025-07-11 Allison Wan , Christoph Riedl , David Lazer

Collective leadership and herding may arise in standard models of opinion dynamics as an interplay of a strong separation of time scales within the population and its hierarchical organization. Using the voter model as a simple opinion…

Physics and Society · Physics 2017-07-12 Liudmila Rozanova , Marian Boguna

There has been substantial work studying consensus problems for which there is a single common final state, although there are many real-world complex networks for which the complete consensus may be undesirable. More recently, the concept…

Physics and Society · Physics 2019-07-24 Isaac Klickstein , Louis Pecora , Francesco Sorrentino

In this paper, a simply rule that generates scale-free networks with very large clustering coefficient and very small average distance is presented. These networks are called {\bf Multistage Random Growing Networks}(MRGN) as the adding…

Computational Physics · Physics 2009-11-11 Jian-Guo Liu , Yan-Zhong Dang , Zhong-tuo Wang

Recent years have seen a growing interest in the modeling and simulation of social networks to understand several social phenomena. Two important classes of networks, small world and scale free networks have gained a lot of research…

Social and Information Networks · Computer Science 2014-11-04 Mohammad Qasim Pasta , Zohaib Jan , Arnaud Sallaberry , Faraz Zaidi

In this work we extend the model of Bonabeau et al. in the case of scale-free networks. A sharp transition is observed from an egalitarian to an hierarchical society, with a very low population density threshold. The exact threshold value…

Physics and Society · Physics 2009-11-11 Lazaros K. Gallos

The Deffuant model is a spatial stochastic model for the dynamics of opinions in which individuals are located on a connected graph representing a social network and characterized by a number in the unit interval representing their opinion.…

Probability · Mathematics 2020-05-28 Nicolas Lanchier , Hsin-Lun Li

What is the underlying mechanism leading to power-law degree distributions of many natural and artificial networks is still at issue. We consider that scale-free networks emerges from self-organizing process, and such a evolving model is…

Statistical Mechanics · Physics 2007-05-23 Gang Yan , Tao Zhou , Ying-Di Jin , Zhong-Qian Fu

We investigate a model for opinion dynamics, where individuals (modeled by vertices of a graph) hold certain abstract opinions. As time progresses, neighboring individuals interact with each other, and this interaction results in a…

Probability · Mathematics 2019-09-20 Nina Gantert , Markus Heydenreich , Timo Hirscher

We propose a modification in the Sznajd sociophysics model defined on the square lattice. For this purpose, we consider reputation-a mechanism limiting the agents' persuasive power. The reputation is introduced as a time-dependent score,…

Physics and Society · Physics 2012-03-06 Nuno Crokidakis , Fabricio L. Forgerini

The so-called Deffuant model describes a pattern for social interaction, in which two neighboring individuals randomly meet and share their opinions on a certain topic, if their discrepancy is not beyond a given threshold $\theta$. The…

Probability · Mathematics 2014-01-20 Olle Häggström , Timo Hirscher

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

This paper proposes the matrix-weighted consensus algorithm, which is a generalization of the consensus algorithm in the literature. Given a networked dynamical system where the interconnections between agents are weighted by nonnegative…

Optimization and Control · Mathematics 2018-01-09 Minh Hoang Trinh , Hyo-Sung Ahn

In this work we present novel results to the problem of the Hegselmann-Krause dynamics in networks obtained by an extensive study of the behavior of the standard order parameter sensitive to the onset of consensus: the normalized size of…

Physics and Society · Physics 2021-06-16 Hendrik Schawe , Sylvain Fontaine , Laura Hernández