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We investigate the phenomena of order-disorder phase transition and the universality of the majority-rule model defined on three complex networks, namely the Barabasi-Albert, Watts-Strogatz, and Erdos-Renyi networks. Assume each agent holds…

Physics and Society · Physics 2024-02-27 Didi Ahmad Mulya , Roni Muslim

Evolution of belief systems has always been in focus of cognitive research. In this paper we delineate a new model describing belief systems as a network of statements considered true. Testing the model a small number of parameters enabled…

Artificial Intelligence · Computer Science 2008-07-04 Miklos Antal , Laszlo Balogh

We analyze the non-equilibrium order-disorder transition of Axelrod's model of social interaction in several complex networks. In a small world network, we find a transition between an ordered homogeneous state and a disordered state. The…

Condensed Matter · Physics 2009-11-07 Konstantin Klemm , Victor M. Eguiluz , Raul Toral , Maxi San Miguel

Agent-based models of opinion dynamics allow one to examine the spread of opinions between entities and to study phenomena such as consensus, polarization, and fragmentation. By studying a model of opinion dynamics on a social network, one…

Physics and Society · Physics 2023-03-22 Grace J. Li , Mason A. Porter

It is proposed a model that makes use of the Entropy concept and the Jensen-Shannon information divergence function to simulate computationally the dissemination of opinions on a Barab\'asi-Albert (BA) scale-free network. The simulation…

Physics and Society · Physics 2024-08-20 Patrick Oliveira de Paula , Alejandra Rada , Catalina Rúa

The Sznajd model of socio-physics, that only a group of people sharing the same opinion can convince their neighbors, is applied to a scale-free random network modeled by a deterministic graph. We also study a model for elections based on…

Statistical Mechanics · Physics 2009-11-10 M. C. Gonzalez , A. O. Sousa , H. J. Herrmann

In the consensus model with bounded confidence, studied by Deffuant et al. (2000), two randomly selected people who differ not too much in their opinion both shift their opinions towards each other. Now we restrict this exchange of…

Statistical Mechanics · Physics 2009-11-10 D. Stauffer , H. Meyer-Ortmanns

We present a model describing the temporal evolution of opinions due to interactions among a network of individuals. This Accept-Shift-Constrict (ASC) model is formulated in terms of coupled nonlinear differential equations for opinions and…

Physics and Society · Physics 2020-04-09 Michael Gabbay

The Ising model shows on growing Barabasi - Albert networks the same ferromagnetic behavior as on static Barabasi - Albert networks. Sznajd models on growing Barabasi - Albert networks show an hysteresis like behavior. Nearly a full…

Statistical Mechanics · Physics 2009-11-10 Johannes Bonnekoh

This paper mainly discusses the diffusion on complex networks with time-varying couplings. We propose a model to describe the adaptive diffusion process of local topological and dynamical information, and find that the Barabasi-Albert…

Physics and Society · Physics 2018-12-11 Ruiwu Niu , Xiaoqun Wu , Ju-an Lu , Jinhu Lv

We study the process of opinion formation in an Ising social network of scientific collaborations. The network is undirected. An Ising spin is associated with each network node being oriented up (red) or down (blue). Certain nodes carry…

Physics and Society · Physics 2026-01-07 Kristina Bukina , Dima L. Shepelyansky

We study an opinion formation model by the means of a co-evolving complex network where the vertices represent the individuals, characterised by their evolving opinions, and the edges represent the interactions among them. The network…

Physics and Society · Physics 2015-06-19 Enrique Burgos , Laura Hernandez , Horacio Ceva , Roberto P. J. Perazzo

We study an influence network of voters subjected to correlated disordered external perturbations, and solve the dynamical equations exactly for fully connected networks. The model has a critical phase transition between disordered unimodal…

Physics and Society · Physics 2018-09-26 Marlon Ramos , Marcus A. M. de Aguiar , Dan Braha

Based on the concept and techniques of first-passage probability in Markov chain theory, this letter provides a rigorous proof for the existence of the steady-state degree distribution of the scale-free network generated by the…

Probability · Mathematics 2008-05-13 Zhenting Hou , Xiangxing Kong , Dinghua Shi , Guanrong Chen

The consensus model of Deffuant et al is simplified by allowing for many discrete instead of infinitely many continuous opinions, on a directed Barabasi-Albert network. A simple scaling law is observed. We then introduce noise and also use…

Statistical Mechanics · Physics 2007-05-23 D. Stauffer , A. O. Sousa , C. Schulze

We study the joint evolution of worldviews by proposing a model of opinion dynamics, which is inspired in notions from evolutionary ecology. Agents update their opinion on a specific issue based on their propensity to change -- asserted by…

Physics and Society · Physics 2019-11-05 Hardik Rajpal , Fernando Rosas , Henrik Jeldtoft Jensen

We focus on non-consensus opinion models in which above a certain threshold two opinions coexist in a stable relationship. We revisit and extend the non-consensus opinion (NCO) model introduced by Shao. We generalize the NCO model by adding…

Physics and Society · Physics 2015-06-11 Qian Li , Lidia A. Braunstein , Huijuan Wang , Jia Shao , H. Eugene Stanley , Shlomo Havlin

We propose a discrete model for how opinion about a given phenomenon, about which various groups of a population have different degrees of enthusiasm, such as fanaticism and extreme social and political positions, including terrorism, may…

Physics and Society · Physics 2007-05-23 Dietrich Stauffer , Muhammad Sahimi

We analyze the entropic equation of state for a many-particle interacting system in a scale-free network. The analysis is performed in terms of scaling functions which are of fundamental interest in the theory of critical phenomena and have…

Statistical Mechanics · Physics 2011-11-23 C. von Ferber , R. Folk , Yu. Holovatch , R. Kenna , V. Palchykov

We recently proposed a model coupling the evolution of the opinions of the individual with the local network topology. The opinion dynamics is based on the Bounded Confidence model. The social networks is based on a group concept where each…

Physics and Society · Physics 2010-03-19 F. Gargiulo , S. Huet