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As an important factor governing opinion dynamics, stubbornness strongly affects various aspects of opinion formation. However, a systematically theoretical study about the influences of heterogeneous stubbornness on opinion dynamics is…

Social and Information Networks · Computer Science 2022-08-09 Wanyue Xu , Liwang Zhu , Jiale Guan , Zuobai Zhang , Zhongzhi Zhang

There are numerous examples of societies with extremely stable mix of contrasting opinions. We argue that this stability is a result of an interplay between society network topology adjustment and opinion changing processes. To support this…

Physics and Society · Physics 2015-05-13 Pawel Sobkowicz

We study analytically a variant of the one-dimensional majority-vote model in which the individual retains its opinion in case there is a tie among the neighbors' opinions. The individuals are fixed in the sites of a ring of size $L$ and…

Statistical Mechanics · Physics 2012-07-24 Paulo F. C. Tilles , Jose F. Fontanari

We generalize the classic multi-agent DeGroot model for opinion dynamics to incorporate the Spiral of Silence theory from political science. This theory states that individuals may withhold their opinions when they perceive them to be in…

Multiagent Systems · Computer Science 2025-09-12 Jesús Aranda , Juan Francisco Díaz , David Gaona , Frank Valencia

We present a model of opinion dynamics in which agents adjust continuous opinions as a result of random binary encounters whenever their difference in opinion is below a given threshold. High thresholds yield convergence of opinions towards…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gerard Weisbuch , Guillaume Deffuant , Frederic Amblard , Jean Pierre Nadal

We introduce a stochastic geometry dynamics inspired by opinion dynamics that captures the essence of modern asymmetric social networks with leaders and followers. Points in the Euclidean space represent opinions, and the leader of an agent…

Probability · Mathematics 2026-05-29 Natasa Dragovic , Francois Baccelli

We introduce a stochastic model of binary opinion dynamics in one dimension. The binary opinions $\pm 1$ are analogous to up and down Ising spins and in the equivalent spin system, only the spins at the domain boundary can flip. The…

Statistical Mechanics · Physics 2014-06-16 Suman Sinha , Soham Biswas , Parongama Sen

We introduce a DeGroot-based model for opinion dynamics in social networks. A community of agents is represented as a weighted directed graph whose edges indicate how much agents influence one another. The model is formalized using labeled…

Social and Information Networks · Computer Science 2024-09-09 Jesús Aranda , Sebastián Betancourt , Juan Fco. Díaz , Frank Valencia

The increasing polarization in democratic societies is an emergent outcome of political opinion dynamics. Yet, the fundamental mechanisms behind the formation of political opinions, from individual beliefs to collective consensus, remain…

Social and Information Networks · Computer Science 2025-04-04 Valeria Widler , Barbara Kaminska , Andre C. R. Martins , Ivan Puga-Gonzalez

We present an extensive study of the joint effects of heterogeneous social agents and their heterogeneous social links in a bounded confidence opinion dynamics model. The full phase diagram of the model is explored for two different…

Physics and Society · Physics 2023-01-24 Rémi Perrier , Hendrik Schawe , Laura Hernández

This paper investigates some aspects of a recently proposed nonlinear mathematical model of opinion dynamics. The main objective is to identify the network structures that maximize the average equilibrium opinion (HMO). We prove that…

Optimization and Control · Mathematics 2025-09-19 David N. Reynolds , Pedro J. Torres

We introduce a general contagion-like model for competing opinions that includes dynamic resistance to alternative opinions. We show that this model can describe candidate vote distributions, spatial vote correlations, and a slow approach…

Physics and Society · Physics 2016-03-08 Keith A. Burghardt , William Rand , Michelle Girvan

The dynamical origin of opinion polarization in the real world is an interesting topic physical scientists may help to understand. To properly model the dynamics, the theory must be fully compatible with findings by social psychologists on…

Adaptation and Self-Organizing Systems · Physics 2014-09-03 H. F. Chau , C. Y. Wong , F. K. Chow , C. -H. F. Fung

The rise of digital social media has strengthened the coevolution of public opinions and social interactions, that shape social structures and collective outcomes in increasingly complex ways. Existing literature often explores this…

Physics and Society · Physics 2024-09-20 Nataša Djurdjevac Conrad , Nhu Quang Vu , Sören Nagel

Individuals increasingly rely on social networking platforms to form opinions. However, these platforms typically aim to maximize engagement, which may not align with social good. In this paper, we introduce an opinion dynamics model where…

Theoretical Economics · Economics 2025-06-06 Ozan Candogan , Nicole Immorlica , Bar Light , Jerry Anunrojwong

There has been a growing interest in developing diffusion-based Graph Neural Networks (GNNs), building on the connections between message passing mechanisms in GNNs and physical diffusion processes. However, existing methods suffer from…

Machine Learning · Computer Science 2025-08-18 Asela Hevapathige , Asiri Wijesinghe , Ahad N. Zehmakan

In majority dynamics, agents located at the vertices of an undirected simple graph update their binary opinions synchronously by adopting those of the majority of their neighbors. On infinite unimodular transitive graphs (e.g., Cayley…

Probability · Mathematics 2018-04-24 Itai Benjamini , Siu-On Chan , Ryan O'Donnell , Omer Tamuz , Li-Yang Tan

Opinion dynamics, the study of how individual beliefs and collective public opinion evolve, is a fertile domain for applying statistical physics to complex social phenomena. Like physical systems, societies exhibit macroscopic regularities…

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

Polarization, defined as the emergence of sharply divided groups with opposing and often extreme views, is an increasingly prominent feature of modern societies. While many studies analyze this phenomenon in the context of single issues,…