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We study binary opinion formation in a large population where individuals are influenced by the opinions of other individuals. The population is characterised by the existence of (i) communities where individuals share some similar…

Probability · Mathematics 2023-06-30 Delia Coculescu , Médéric Motte , Huyên Pham

The Majority Rule is applied to a topology that consists of two coupled random networks, thereby mimicking the modular structure observed in social networks. We calculate analytically the asymptotic behaviour of the model and derive a phase…

Physics and Society · Physics 2012-08-31 R. Lambiotte , M. Ausloos

Among the several approaches that have been attempted at studying opinion dynamics, the Sznajd model provides some particularly interesting features, such as its simplicity and ability to represent some of the mechanisms believed to be…

Social networks have provided a platform for the effective exchange of ideas or opinions but also served as a hotbed of polarization. While much research attempts to explore different causes of opinion polarization, the effect of perception…

Physics and Society · Physics 2023-05-12 Hao Yu , Bin Xue , Yanpeng Zhu , Jianlin Zhang , Run-Ran Liu , Yu Liu , Fanyuan Meng

Recent formulation of the Zaller model of mass opinion is generalized to include the interaction between agents. The mechanism of interaction is close to the bounded confidence model. The outcome of the simulation is the probability…

Physics and Society · Physics 2017-11-28 Krzysztof Malarz , Piotr Gronek , Krzysztof Kulakowski

In the consensus model of Krause-Hegselmann, opinions are real numbers between 0 and 1 and two agents are compatible if the difference of their opinions is smaller than the confidence bound parameter \epsilon. A randomly chosen agent takes…

Statistical Mechanics · Physics 2009-11-10 Santo Fortunato

The voter model is a simple agent-based model to mimic opinion dynamics in social networks: a randomly chosen agent adopts the opinion of a randomly chosen neighbour. This process is repeated until a consensus emerges. Although the basic…

Statistical Mechanics · Physics 2018-06-06 Michael T. Gastner , Beáta Oborny , Máté Gulyás

A simple Ising spin model which can describe a mechanism of making a decision in a closed community is proposed. It is shown via standard Monte Carlo simulations that very simple rules lead to rather complicated dynamics and to a power law…

Statistical Mechanics · Physics 2009-11-07 Katarzyna Sznajd-Weron , Jozef Sznajd

The Zaller theory of opinion formation is reformulated with one free parameter $\mu$, which measures the largest possible ideological distance which can be made by a citizen in one mental step. Our numerical results show the transient…

Physics and Society · Physics 2009-11-13 Krzysztof Kulakowski

We investigate different opinion formation models on adaptive network topologies. Depending on the dynamical process, rewiring can either (i) lead to the elimination of interactions between agents in different states, and accelerate the…

Physics and Society · Physics 2009-09-29 Cecilia Nardini , Balazs Kozma , Alain Barrat

Schools with the highest average student performance are often the smallest schools; localities with the highest rates of some cancers are frequently small and the effects observed in clinical trials are likely to be largest for the…

Probability · Mathematics 2016-12-07 Steven N. Evans , Ronald L. Rivest , Philip B. Stark

To devise efficient solutions for approximating a mean partition in consensus clustering, Dimitriadou et al. [3] presented a necessary condition of optimality for a consensus function based on least square distances. We show that their…

Machine Learning · Computer Science 2016-04-27 Brijnesh J. Jain

It is very common to observe crowds of individuals solving similar problems with similar information in a largely independent manner. We argue here that crowds can become "smarter," i.e., more efficient and robust, by partially following…

Optimization and Control · Mathematics 2016-11-08 Yu Luo , Garud Iyengar , Venkat Venkatasubramanian

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

We study multidimensional continuous opinion dynamics, where opinions are nonnegative vectors which components sum up to one. Examples of such opinions are budgets or other allocation vectors which display a distribution of a fixed amount…

Physics and Society · Physics 2010-12-07 Jan Lorenz

Given a set of variables and the correlations among them, we develop a method for finding clustering among the variables. The method takes advantage of information implicit in higher-order (not just pairwise) correlations. The idea is to…

Statistical Mechanics · Physics 2015-05-13 L. S. Schulman

We consider the problem of finding a compromise between the opinions of a group of individuals on a number of mutually independent, binary topics. In this paper, we quantify the loss in representativeness that results from requiring the…

Machine Learning · Computer Science 2023-10-30 Robin Fritsch , Roger Wattenhofer

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…

Physics and Society · Physics 2017-10-11 Tyll Krueger , Janusz Szwabiński , Tomasz Weron

We present a model of interacting multiple choices of opinions. At each step of the process, a listener is persuaded by his/her neighbour, the lobbyist, to modify his/her opinion on two different choices of event. Whether or not the…

Physics and Society · Physics 2016-01-12 C. -I. Chou , C. -L. Ho

Adaptive models of opinion formation among humans can display a fragmentation transition, where a social network breaks into disconnected components. Here, we investigate this transition in a class of models with arbitrary number of…

Physics and Society · Physics 2012-06-19 Gesa A. Böhme , Thilo Gross