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We investigate the phenomena of political bi-polarization in a population of interacting agents by means of a generalized version of the model introduced in PRE E 101, 012101 (2020) for the dynamics of voting intention. Each agent has a…

Physics and Society · Physics 2020-07-15 Nicolas Saintier , Juan Pablo Pinasco , Federico Vazquez

We introduce a socially motivated extension of the voter model in which individual voters are also influenced by two opposing, fixed-opinion news sources. These sources forestall consensus and instead drive the population to a politically…

Physics and Society · Physics 2020-01-27 Deepak Bhat , S. Redner

We investigate large-scale effects induced by external fields, phenomenologically interpreted as mass media, in multiagent models evolving with the microscopic dynamics of the binary naming game. In particular, we show that a single…

Physics and Society · Physics 2017-12-19 Filippo Palombi , Stefano Ferriani , Simona Toti

This paper presents Monte Carlo simulations of language populations and the development of language families, showing how a simple model can lead to distributions similar to the ones observed empirically. The model used combines features of…

Large language models (LLMs) have demonstrated remarkable capabilities in simulating human behaviour and social intelligence. However, they risk perpetuating societal biases, especially when demographic information is involved. We introduce…

Computers and Society · Computer Science 2025-06-11 Bryan Chen Zhengyu Tan , Roy Ka-Wei Lee

One of the fundamental structural properties of many networks is triangle closure. Whereas the influence of this transitivity on a variety of contagion dynamics has been previously explored, existing models of coevolving or adaptive network…

Adaptation and Self-Organizing Systems · Physics 2017-01-04 Nishant Malik , Feng Shi , Hsuan-Wei Lee , Peter J. Mucha

We investigate majority rule dynamics in a population with two classes of people, each with two opinion states $\pm 1$, and with tunable interactions between people in different classes. In an update, a randomly selected group adopts the…

Statistical Mechanics · Physics 2021-06-23 P. L. Krapivsky , S. Redner

We introduce time variation in the flip-rates of the Voter Model. This type of generalisation is relevant to models of ageing in language change, allowing the representation of changes in speakers' learning rates over their lifetime and may…

Statistical Mechanics · Physics 2015-05-27 G. J. Baxter

In this work we study a 3-state opinion formation model considering two distinct mechanisms, namely independence and conviction. Independence is introduced in the model as a noise, by means of a probability of occurrence $q$. On the other…

Physics and Society · Physics 2016-05-20 Nuno Crokidakis

How often will elections end in landslides? What is the probability for a head-to-head race? Analyzing ballot results from several large countries rather anomalous and yet unexplained distributions have been observed. We identify tactical…

Physics and Society · Physics 2010-09-17 Nuno A. M. Araújo , José S. Andrade , Hans J. Herrmann

We consider a system in which a group of agents represented by the vertices of a graph synchronously update their opinion based on that of their neighbours. If each agent adopts a positive opinion if and only if that opinion is sufficiently…

Combinatorics · Mathematics 2020-08-12 John Haslegrave , Chris Cannings

Large-scale empirical data, the sample size and the dimension are high, often exhibit various characteristics. For example, the noise term follows unknown distributions or the model is very sparse that the number of critical variables is…

Statistics Theory · Mathematics 2018-06-18 Yuehan Yang , Hu Yang

We investigate a dynamical model of opinion formation in which an individual's opinion is influenced by interactions with a group of other agents. We introduce a bias towards one of the opinions in a manner not considered earlier to the…

Physics and Society · Physics 2024-09-17 Pratik Mullick , Parongama Sen

We study the role played by noise on the QW introduced in [1], a 1D model that is inspired by a two particle interacting QW. The noise is introduced by a random change in the value of the phase during the evolution, from a constant…

Quantum Physics · Physics 2017-03-29 Ivan Marquez-Martin , Giuseppe Di Molfetta , Armando Perez

The voter model is a paradigm of ordering dynamics. At each time step, a random node is selected and copies the state of one of its neighbors. Traditionally, this state has been considered as a binary variable. Here, we relax this…

Statistical Mechanics · Physics 2015-06-05 Michele Starnini , Andrea Baronchelli , Romualdo Pastor-Satorras

Machine learning models are commonly applied to human brain imaging datasets in an effort to associate function or structure with behaviour, health, or other individual phenotypes. Such models often rely on low-dimensional maps generated by…

Quantitative Methods · Quantitative Biology 2021-09-21 Gregory Kiar , Yohan Chatelain , Ali Salari , Alan C. Evans , Tristan Glatard

We study noise sensitivity of the consensus opinion of the voter model on finite graphs, with respect to noise affecting the initial opinions and noise affecting the dynamics. We prove that the final opinion is stable with respect to small…

Probability · Mathematics 2022-10-11 Gideon Amir , Omer Angel , Rangel Baldasso , Ron Peretz

We study a discrete-space model of active matter with excluded volume. Particles are restricted to the sites of a triangular lattice, and can assume one of three orientations. Varying the density and noise intensity, Monte Carlo simulations…

Statistical Mechanics · Physics 2024-07-03 Tiago Venzel Rosembach , Ana Luiza Novaes Dias , Ronald Dickman

Agent-based models of the binary naming game are generalized here to represent a family of models parameterized by the introduction of two continuous parameters. These parameters define varying listener-speaker interactions on the…

Physics and Society · Physics 2014-10-17 Andrew M. Thompson , Boleslaw K. Szymanski , Chjan C. Lim

The effects of payoffs and noise on the maintenance of cooperative behavior are studied in an evolutionary Prisoner's Dilemma game with players located on the sites of different two-dimensional lattices. This system exhibits a phase…

Statistical Mechanics · Physics 2009-11-11 Gyorgy Szabo , Jeromos Vukov , Attila Szolnoki