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Elections play a fundamental role in democratic societies, however they are often characterized by unexpected results. Here we discuss an election campaign model inspired by the compartmental epidemiology, and we show that the model…

Physics and Society · Physics 2024-07-31 M. Andrecut

We study binary opinion dynamics in a fully connected network of interacting agents. The agents are assumed to interact according to one of the following rules: (1) Voter rule: An updating agent simply copies the opinion of another randomly…

Probability · Mathematics 2022-03-04 Arpan Mukhopadhyay , Ravi R. Mazumdar , Rahul Roy

We investigate the dynamics of the voter model in which the population itself changes endogenously via the birth-death process. There are two species of voters, labeled A and B, and the population of each species can grow or shrink by the…

Populations and Evolution · Quantitative Biology 2019-06-17 Deepak Bhat , Jordi Piñero , S. Redner

We investigate a variation of the classical voter model in which the set of influencing agents depends on an individual's current opinion. The initial population consists of a random sample of equally sized sub-populations for each state,…

Physics and Society · Physics 2025-09-30 Francisco J. Muñoz , Juan Carlos Nuño

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 the coarsening dynamics of a simplified version of the persistent voter model in which an agent can become a zealot -- i.e. resistent to change opinion -- at each step, based on interactions with its nearest neighbors. We…

Statistical Mechanics · Physics 2026-03-17 R. G. de Almeida , J. J. Arenzon , F. Corberi , W. G. Dantas , L. Smaldone

We propose and study a model for the interplay between two different dynamical processes --one for opinion formation and the other for decision making-- on two interconnected networks $A$ and $B$. The opinion dynamics on network $A$…

Physics and Society · Physics 2016-10-04 L. G. Alvarez-Zuzek , C. E. La Rocca , F. Vazquez , L. A. Braunstein

Classical spatial models of two-party competition typically predict convergence to the median voter, yet real-world party systems often exhibit persistent and asymmetric polarization. We develop a spatial model of two-party competition in…

Physics and Society · Physics 2026-01-13 Daniel Miranda Machado , Roberto Venegeroles

We determine the ultimate fate of individual opinions in a socially-interacting population of leftists, centrists, and rightists. In an elemental interaction between agents, a centrist and a leftist can become both centrists or both become…

Statistical Mechanics · Physics 2015-06-24 F. Vazquez , S. Redner

We study a family of opinion formation models in one dimension where the propensity for a voter to align with its local environment depends non-linearly on the fraction of disagreeing neighbors. Depending on this non-linearity in the voting…

Data Analysis, Statistics and Probability · Physics 2008-04-23 R. Lambiotte , S. Redner

In the voter and many other opinion formation models, agents are assumed to behave as congregators (also called the conformists); they are attracted to the opinions of others. In this study, I investigate linear extensions of the voter…

Physics and Society · Physics 2013-11-06 Naoki Masuda

In certain parliamentary democracies, there are two major parties that move in and out of power every few elections, and a third minority party that essentially never governs. We present a simple model to account for this phenomenon, in…

Physics and Society · Physics 2009-03-09 D. Volovik , M. Mobilia , S. Redner

The influence of zealots on the noisy voter model is studied theoretically and numerically at the mean-field level. The noisy voter model is a modification of the voter model that includes a second mechanism for transitions between states:…

Physics and Society · Physics 2018-01-31 Nagi Khalil , Maxi San Miguel , Raul Toral

In this work an opinion formation model with heterogeneous agents is proposed. Each agent is supposed to have different power of persuasion, and besides its own level of zealotry, that is, an individual willingness to being convinced by…

Analysis of PDEs · Mathematics 2018-03-28 Mayte Pérez-Llanos , Juan Pablo Pinasco , Nicolas Saintier , Analía Silva

We introduce and study a simple model for the dynamics of voting intention in a population of agents that have to choose between two candidates. The level of indecision of a given agent is modeled by its propensity to vote for one of the…

Physics and Society · Physics 2020-01-08 Federico Vazquez , Nicolas Saintier , Juan Pablo Pinasco

In this paper, we discuss a voting model with two candidates, C_1 and C_2. We set two types of voters--herders and independents. The voting of independent voters is based on their fundamental values; on the other hand, the voting of herders…

Physics and Society · Physics 2015-05-27 Masato Hisakado , Shintaro Mori

In this work we study a continuous opinion dynamics model considering 3-agent interactions and group pressure. Agents interact in a fully-connected population, and two parameters govern the dynamics: the agents' convictions $\lambda$, that…

Physics and Society · Physics 2020-05-26 Nuno Crokidakis

We study how zealotry and nonlinear social impact affect consensus formation in the nonlinear voter model, evolutionary games, and the partisan voter model. In all three models, consensus is an absorbing state in finite populations, while…

Physics and Society · Physics 2025-08-28 Christopher R. Kitching , Lucía S. Ramirez , Maxi San Miguel , Tobias Galla

We study the effect of latency on binary-choice opinion formation models. Latency is introduced into the models as an additional dynamic rule: after a voter changes its opinion, it enters a waiting period of stochastic length where no…

Physics and Society · Physics 2013-05-29 Renaud Lambiotte , Jari Saramaki , Vincent D. Blondel

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