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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,…

Probability · Mathematics 2024-10-29 Simone Baldassarri , Peter Braunsteins , Frank den Hollander , Michel Mandjes

We extend simple opinion models to obtain stable but continuously evolving communities. Our scope is to meet a challenge raised by sociologists of generating "structures that last from non lasting entities". We achieve this by introducing…

Physics and Society · Physics 2015-06-05 Sébastian Grauwin , Pablo Jensen

We survey a range of models of opinion exchange. From the introduction: "The exchange of opinions between individuals is a fundamental social interaction... Moreover, many models in this field are an excellent playground for mathematicians,…

Probability · Mathematics 2017-07-11 Elchanan Mossel , Omer Tamuz

Discovering the antecedents of individuals' influence in collaborative environments is an important, practical, and challenging problem. In this paper, we study interpersonal influence in small groups of individuals who collectively execute…

Social and Information Networks · Computer Science 2025-11-05 Omid Askarisichani , Elizabeth Y. Huang , Abed K. Musaffar , Noah E. Friedkin , Francesco Bullo , Ambuj K. Singh

Consider n individuals who, by popular vote, choose among q >= 2 alternatives, one of which is "better" than the others. Assume that each individual votes independently at random, and that the probability of voting for the better…

Statistics Theory · Mathematics 2014-11-25 Elchanan Mossel , Joe Neeman , Omer Tamuz

How do movements and coalitions which engage with multiple social issues succeed in cross-issue solidarity, and when do they instead become fragmented? To address this, the mechanisms of cross-issue interaction have to be understood. Prior…

Physics and Society · Physics 2018-07-31 Zong Xuan Tan , Kang Hao Cheong

Opinion dynamics aims to understand how individuals' opinions evolve through local interactions. Recently, opinion dynamics have been modeled as network games, where individuals update their opinions in order to minimize the social pressure…

Dynamical Systems · Mathematics 2025-04-07 Yuchen Xu , Yi Han , Chuanzhe Zhang , Miao Wang , Wenjun Mei

Socio-psychological studies have identified a common phenomenon where an individual's public actions do not necessarily coincide with their private opinions, yet most existing models fail to capture the dynamic interplay between these two…

Social and Information Networks · Computer Science 2025-11-12 Chen Song , Vladimir Cvetkovic , Rong Su

The ability to learn from others (social learning) is often deemed a cause of human species success. But if social learning is indeed more efficient (whether less costly or more accurate) than individual learning, it raises the question of…

Physics and Society · Physics 2021-01-01 Benoît de Courson , Léo Fitouchi , Jean-Philippe Bouchaud , Michael Benzaquen

Current models for opinion dynamics typically utilize a Poisson process for speaker selection, making the waiting time between events exponentially distributed. Human interaction tends to be bursty, though, having higher probabilities of…

Physics and Society · Physics 2017-07-28 Casey Doyle , Boleslaw Szymanski , Gyorgy Korniss

Recent years saw an increased interest in modeling and understanding the mechanisms of opinion and innovation spread through human networks. Using analysis of real-world social data, researchers are able to gain a better understanding of…

Social and Information Networks · Computer Science 2016-03-29 Ajay Saini , Natasha Markuzon

We use a model of opinion formation to study the consequences of some mechanisms attempting to enforce the right behaviour in a society. We start from a model where the possible choices are not equivalent (such is the case when the agents…

Physics and Society · Physics 2012-12-18 M. F. Laguna , G. Abramson , J. R. Iglesias

We propose a consensus opinion model based on the evolutionary game. In our model, both of the two connected agents receive a benefit if they have the same opinion, otherwise they both pay a cost. Agents update their opinions by comparing…

Physics and Society · Physics 2018-02-14 Han-Xin Yang

The information system (T.V., newspapers, blogs, social network platforms) and its inner dynamics play a fundamental role on the evolution of collective debates and thus on the public opinion. In this work we address such a process focusing…

Physics and Society · Physics 2013-07-17 Walter Quattrociocchi , Guido Caldarelli , Antonio Scala

In this paper, and inspired by the recent discrete-time model in [1,2], we study two continuous-time opinion dynamics models (Model 1 and Model 2) where the individuals discuss opinions on multiple logically interdependent topics. The…

Social and Information Networks · Computer Science 2020-01-14 Mengbin Ye , Minh Hoang Trinh , Young-Hun Lim , Brian D. O. Anderson , Hyo-Sung Ahn

The complexity of human behaviour can lead to very unpredictable patterns in social activity and structure. Here we demonstrate the instability of a community network controlled by majority ruling, where an element adopts the most popular…

Cellular Automata and Lattice Gases · Physics 2016-05-17 V. F. Kusmartsev , F. V. Kusmartsev

Emergent collective group processes and capabilities have been studied through analysis of transactive memory, measures of group task performance, and group intelligence, among others. In their approach to collective behaviors, these…

Physics and Society · Physics 2019-01-01 Yaneer Bar-Yam , David Kantor

Investigation of social influence dynamics requires mathematical models that are "simple" enough to admit rigorous analysis, and yet sufficiently "rich" to capture salient features of social groups. Thus, the mechanism of iterative opinion…

Systems and Control · Computer Science 2019-09-20 Anton V. Proskurnikov , Roberto Tempo , Ming Cao , Noah E. Friedkin

In this work we study opinion formation in a population participating of a public debate with two distinct choices. We considered three distinct mechanisms of social interactions and individuals' behavior: conformity, nonconformity and…

Physics and Society · Physics 2015-12-11 Nuno Crokidakis , Paulo Murilo Castro de Oliveira

Unlike many complex networks studied in the literature, social networks rarely exhibit unanimous behavior, or consensus. This requires a development of mathematical models that are sufficiently simple to be examined and capture, at the same…

Systems and Control · Computer Science 2017-10-16 Sergey E. Parsegov , Anton V. Proskurnikov , Roberto Tempo , Noah E. Friedkin