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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…

物理与社会 · 物理学 2017-03-09 Daniele Vilone , Timoteo Carletti , Franco Bagnoli , Andrea Guazzini

Brownian motion have long been studied on a diversity of fields, not only in physics of statistical mechanics, but also in biological models, finance and economic process, and social systems. In the past twenty years, there has been a…

物理与社会 · 物理学 2025-12-05 Peng Wang , Peter Luh

Clustering is a fundamental collective phenomenon in agent-based models (ABMs) of opinion dynamics. To study clustering in systems with co-evolving social and opinion variables, we derive stochastic partial differential equation (SPDE)…

物理与社会 · 物理学 2026-05-01 Sebastian Zimper , Nataša Djurdjevac Conrad , Federico Cornalba , Ana Djurdjevac

Nowadays, in societies threatened by atomization, selfishness, short-term thinking, and alienation from political life, there is a renewed debate about classical questions concerning the quality of democratic decision-making. In this work a…

统计力学 · 物理学 2009-11-07 S. G. Alves , N. M. Oliveira Neto , M. L. Martins

The dynamics of opinion formation in large groups of people is a complex non-linear phenomenon whose investigation is just at the beginning. Both collective behaviour and personal view play an important role in this mechanism. In the…

物理与社会 · 物理学 2010-02-17 M. Bartolozzi , B. Leinweber , A. W. Thomas

A key question concerning collective decisions is whether a social system can settle on the best available option when some members learn from others instead of evaluating the options on their own. This question is challenging to study, and…

物理与社会 · 物理学 2021-08-24 Vicky Chuqiao Yang , Mirta Galesic , Harvey McGuinness , Ani Harutyunyan

We study a model of consensus decision making, in which a finite group of Bayesian agents has to choose between one of two courses of action. Each member of the group has a private and independent signal at his or her disposal, giving some…

统计理论 · 数学 2018-04-24 Elchanan Mossel , Omer Tamuz

Here we focus on the description of the mechanisms behind the process of information aggregation and decision making, a basic step to understand emergent phenomena in society, such as trends, information spreading or the wisdom of crowds.…

物理与社会 · 物理学 2015-04-15 Víctor M. Eguíluz , N. Masuda , J. Fernández-Gracia

In populations with community structure, the formation of consensus requires both alignment within and diffusion of beliefs across groups, processes that evolve on distinct time scales. How do modularity, asymmetry, and polarization shape…

物理与社会 · 物理学 2026-03-31 Madi Yerlanov , Zachary Kilpatrick , Nancy Rodriguez

We study a generalization of the voter model on complex networks, focusing on the scaling of mean exit time. Previous work has defined the voter model in terms of an initially chosen node and a randomly chosen neighbor, which makes it…

统计力学 · 物理学 2015-05-13 Casey M. Schneider-Mizell , Leonard M. Sander

We generalize a binary majority-vote model on adaptive networks to its plurality-vote counterpart and analyze the time scale to consensus when voters are given more than two options. When opinions are uniformly distributed in the population…

物理与社会 · 物理学 2018-05-01 Degang Wu , K. Y. Szeto

We develop a sequence of models describing information transmission and decision dynamics for a network of individual agents subject to multiple sources of influence. Our general framework is set in the context of an impending natural…

物理与社会 · 物理学 2015-06-05 Danielle S. Bassett , David L. Alderson , Jean M. Carlson

The Axelrod model is a spatial stochastic model for the dynamics of cultures that includes two key social mechanisms: homophily and social influence, respectively defined as the tendency of individuals to interact more frequently with…

概率论 · 数学 2014-07-24 Nicolas Lanchier , Paul-Henri Moisson

The adaptive voter model is a paradigmatic model in the study of opinion formation. Here we propose an extension for this model, in which conflicts are resolved by obtaining another opinion, and analytically study the time required for…

物理与社会 · 物理学 2013-10-02 Tim Rogers , Thilo Gross

Within the model of social dynamics determined by collective decisions in a stochastic environment (the ViSE model), we consider the case of a homogeneous society consisting of classically rational economic agents. We obtain analytical…

最优化与控制 · 数学 2020-09-22 Vitaly Malyshev

This work extends the recent opinion dynamics model from Cheng et al., emphasizing the role of group pressure in consensus formation. We generalize the findings to incorporate social influence algorithms with general time-varying,…

物理与社会 · 物理学 2025-03-14 Iryna Zabarianska , Anton V. Proskurnikov

Consensus protocols play an important role in the study of distributed algorithms. In this paper, we study the effect of bias on two popular consensus protocols, namely, the {\em voter rule} and the {\em 2-choices rule} with binary…

概率论 · 数学 2023-02-17 Oindrila Deb , Arpan Mukhopadhyay

We investigate the role of opinion leaders or influentials in the collective behavior of a social system. Opinion leaders are characterized by their unidirectional influence on other agents. We employ a model based on Axelrod's dynamics for…

适应与自组织系统 · 物理学 2015-12-15 K. Tucci , J. C. González-Avella , M. G. Cosenza

Empirical studies suggest a deep intertwining between opinion formation and decision-making processes, but these have been treated as separate problems in the study of dynamical models for social networks. In this paper, we bridge the gap…

系统与控制 · 电气工程与系统科学 2024-10-24 Hassan Dehghani Aghbolagh , Mengbin Ye , Lorenzo Zino , Ming Cao , Zhiyong Chen

We consider two-opinion voter models on dense dynamic random graphs. Our goal is to understand and describe the occurrence of consensus versus polarisation over long periods of time. The former means that all vertices have the same opinion,…