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The voter model has been studied extensively as a paradigmatic opinion dynamics' model. However, its ability for modeling real opinion dynamics has not been addressed. We introduce a noisy voter model (accounting for social influence) with…

Opinion formation and disease spreading are among the most studied dynamical processes on complex networks. In real societies, it is expected that these two processes depend on and affect each other. However, little is known about the…

Physics and Society · Physics 2017-05-31 Fátima Velásquez Rojas , Federico Vazquez

Voting is an important social activity for expressing public opinions. By conceptually considering a group of voting agents to be intelligent matter, the impact of real-time information on voting results is quantitatively studied by an…

Statistical Mechanics · Physics 2026-03-16 Guanyu Xu , Jiahang Chen , Xin Zhou , Yanting Wang

We investigate mean-field dynamics of a nonlinear opinion formation model with congregator and contrarian agents. Each agent assumes one of the two possible states. Congregators imitate the state of other agents with a rate that increases…

Physics and Society · Physics 2013-12-25 Shoma Tanabe , Naoki Masuda

We consider a discrete-time voter model process on a set of nodes, each being in one of two states, either 0 or 1. In each time step, each node adopts the state of a randomly sampled neighbor according to sampling probabilities, referred to…

Optimization and Control · Mathematics 2022-11-28 Milan Vojnovic , Kaifang Zhou

In the latent voter model, which models the spread of a technology through a social network, individuals who have just changed their choice have a latent period, which is exponential with rate $\lambda$, during which they will not buy a new…

Probability · Mathematics 2016-05-31 Ran Huo , Rick Durrett

Strong positive feedback is considered a necessary condition to observe abrupt shifts of ecosystems. A few previous studies have shown that demographic noise -- arising from the probabilistic and discrete nature of birth and death processes…

Populations and Evolution · Quantitative Biology 2021-06-22 Sabiha Majumder , Ayan Das , Appilineni Kushal , Sumithra Sankaran , Vishwesha Guttal

In this paper we formulate a continuous opinion model that takes into account population growth, i.e. increase with time in the number of interacting agents $N(t)$. In our setting the population growth is governed by a generic growth rate…

Analysis of PDEs · Mathematics 2025-05-27 Ioannis Markou

We study an adaptive network model driven by a nonlinear voter dynamics. Each node in the network represents a voter and can be in one of two states that correspond to different opinions shared by the voters. A voter disagreeing with its…

We study in details the turnout rate statistics for 77 elections in 11 different countries. We show that the empirical results established in a previous paper for French elections appear to hold much more generally. We find in particular…

Physics and Society · Physics 2015-06-03 Christian Borghesi , Jean-Claude Raynal , Jean-Philippe Bouchaud

Most of the conventional models for opinion dynamics mainly account for a fully local influence, where myopic agents decide their actions after they interact with other agents that are adjacent to them. For example, in the case of social…

Physics and Society · Physics 2013-05-10 Babak Fotouhi , Michael G. Rabbat

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 opinion evolution in networks of stubborn agents discussing a sequence of issues, modeled through the so called concatenated Friedkin-Johnsen (FJ) model. It is concatenated in the sense that agents' opinions evolve for each issue,…

Optimization and Control · Mathematics 2024-05-24 David Ohlin , Fethi Bencherki , Emma Tegling

Vocal aging, a universal process of human aging, can largely affect one's language use, possibly including some subtle acoustic features of one's utterances like Voice Onset Time. To figure out the time effects, Queen Elizabeth's Christmas…

Sound · Computer Science 2018-10-17 Xuanda Chen , Ziyu Xiong , Jian Hu

We generalize the original majority-vote model by incorporating an inertia into the microscopic dynamics of the spin flipping, where the spin-flip probability of any individual depends not only on the states of its neighbors, but also on…

Physics and Society · Physics 2018-06-13 Hanshuang Chen , Chuansheng Shen , Haifeng Zhang , Guofeng Li , Zhonghuai Hou , Jürgen Kurths

In this paper we study a discrete time consensus model on a connected graph with monotonically increasing peer-pressure and noise perturbed outputs masking a hidden state. We assume that each agent maintains a constant hidden state and a…

Physics and Society · Physics 2023-07-05 Christopher Griffin , Anna Squicciarini , Feiran Jia

The order-disorder phase transition is a fascinating phenomenon in opinion dynamics models within sociophysics. This transition emerges due to noise parameters, interpreted as social behaviors such as anticonformity and independence…

The effect of power-law aging on a contact process is studied by simulation and using a mean-field approach. We find that the system may approach its stationary state in a nontrivial, nonmonotonous way. For the particular value of the aging…

Statistical Mechanics · Physics 2009-10-31 S. N. Dorogovtsev , J. F. F. Mendes

In this paper we examine a variant of the voter model on a dynamically changing network where agents have the option of changing their friends rather than changing their opinions. We analyse, in the context of dense random graphs, two…

Probability · Mathematics 2015-01-14 Riddhipratim Basu , Allan Sly

Democratic societies increasingly rely on communication networks to aggregate citizen preferences and information, yet these same networks can systematically mislead voters under certain conditions. We introduce an agent-based model that…

Physics and Society · Physics 2025-06-30 Hsuan-Wei Lee , Po-Kang Hsiao
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