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We study the ordering dynamics of nonlinear voter models with multiple states, also providing a discussion of the two-state model. The rate with which an individual adopts an opinion scales as the $q$-th power of the number of the…

物理与社会 · 物理学 2023-11-01 Lucía Soledad Ramirez , Federico Vazquez , Maxi San Miguel , Tobias Galla

We propose a model of continuous opinion dynamics, where mutual interactions can be both positive and negative. Different types of distributions for the interactions, all characterized by a single parameter $p$ denoting the fraction of…

物理与社会 · 物理学 2012-03-02 Soumyajyoti Biswas , Arnab Chatterjee , Parongama Sen

In this work we study the dynamics of opinion formation in the Sznajd model with anticonformity on regular lattices in two and three dimensions. The anticonformity behavior is similar to the introduction of Galam's contrarians in the…

统计力学 · 物理学 2018-09-19 Matheus Calvelli , Nuno Crokidakis , Thadeu J. P. Penna

With the success of general conceptual frameworks of statistical physics, many scholars have tried to apply these concepts to other interdisciplinary fields, such as socio-politics, economics, biology, medicine, and many more. In this work,…

物理与社会 · 物理学 2023-11-23 Roni Muslim , Rinto Anugraha NQZ , Muhammad Ardhi Khalif

We study the binary $q$-voter model with generalized anticonformity on random Erd\H{o}s-R\'enyi graphs. In such a model, two types of social responses, conformity and anticonformity, occur with complementary probabilities and the size of…

In the past few years, several studies have explored the topology of interactions in different complex systems. Areas of investigation span from biology to engineering, physics and the social sciences. Although having different microscopic…

无序系统与神经网络 · 物理学 2009-11-11 M. Bartolozzi , D. B. Leinweber , T. Surungan , A. W. Thomas , A. G. Williams

In nonlinear voter models the transitions between two states depend in a nonlinear manner on the frequencies of these states in the neighborhood. We investigate the role of these nonlinearities on the global outcome of the dynamics for a…

统计力学 · 物理学 2009-04-05 Frank Schweitzer , Laxmidhar Behera

We study the effects of social influences in opinion dynamics. In particular, we define a simple model, based on the majority rule voting, in order to consider the role of conformity. Conformity is a central issue in social psychology as it…

物理与社会 · 物理学 2014-08-18 Marco Alberto Javarone

Models of the convergence of opinion in social systems have been the subject of a considerable amount of recent attention in the physics literature. These models divide into two classes, those in which individuals form their beliefs based…

物理与社会 · 物理学 2007-05-23 Petter Holme , M. E. J. Newman

In this work we study the critical behavior of a three-state opinion model in the presence of noise. This noise represents the independent behavior, that plays the role of social temperature. Each agent on a regular D-dimensional lattice…

物理与社会 · 物理学 2017-03-14 Nuno Crokidakis

The phenomenon of opinion disagreement has been empirically observed and reported in the literature, which is affected by various factors, such as the structure of social networks. An important discovery in network science is that most…

社会与信息网络 · 计算机科学 2026-04-03 Wanyue Xu , Yubo Sun , Mingzhe Zhu , Zuobai Zhang , Zhongzhi Zhang

We compare two versions of the nonlinear $q$-voter model: the original one, with annealed randomness, and the modified one, with quenched randomness. In the original model, each voter changes its opinion with a certain probability…

物理与社会 · 物理学 2020-04-17 Arkadiusz Jędrzejewski , Katarzyna Sznajd-Weron

We introduce a statistical physics model for opinion dynamics on random networks where agents adopt the opinion held by the majority of their direct neighbors only if the fraction of these neighbors exceeds a certain threshold, p_u. We find…

物理与社会 · 物理学 2009-11-13 Peter Klimek , Renaud Lambiotte , Stefan Thurner

We investigate the non-equilibrium dynamics of a three state kinetic exchange model of opinion formation, where switches between extreme states are possible, depending on the value of a parameter $q$. The mean field dynamical equations are…

统计力学 · 物理学 2023-02-28 Kathakali Biswas , Parongama Sen

Using two models of opinion dynamics, the $q$-voter model with independence and the $q$-voter model with anticonformity, we discuss how the change of disorder from annealed to quenched affects phase transitions on networks. To derive phase…

物理与社会 · 物理学 2022-07-21 Arkadiusz Jędrzejewski , Katarzyna Sznajd-Weron

In this work we study the critical behavior of a three-state ($+1$, $-1$, $0$) opinion model with independence. Each agent has a probability $q$ to act as independent, i.e., he/she can choose his/her opinion independently of the opinions of…

物理与社会 · 物理学 2014-05-15 Nuno Crokidakis

In this work we study the opinion evolution in a community-based population with intergroup interactions. We address two issues. First, we consider that such intergroup interactions can be negative with some probability $p$. We develop a…

物理与社会 · 物理学 2020-02-21 André L. Oestereich , Marcelo A. Pires , Nuno Crokidakis

Understanding and quantifying polarization in social systems is important because of many reasons. It could for instance help to avoid segregation and conflicts in the society or to control polarized debates and predict their outcomes. In…

物理与社会 · 物理学 2017-10-11 Tyll Krueger , Janusz Szwabiński , Tomasz Weron

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…

凝聚态物理 · 物理学 2009-11-07 Konstantin Klemm , Victor M. Eguiluz , Raul Toral , Maxi San Miguel

Discontinuous phase transitions are closely linked to tipping points, critical mass effects, and hysteresis, phenomena that have been confirmed empirically and recognized as highly important in social systems. The multistate $q$-voter…

物理与社会 · 物理学 2025-11-26 Arkadiusz Lipiecki , Katarzyna Sznajd-Weron