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We survey the coevolutionary dynamics of network topology and group interactions in opinion formation, grounded on a coevolving nonlinear voter model. The coevolving nonlinear voter model incorporates two mechanisms: group interactions…

物理与社会 · 物理学 2023-11-13 Byungjoon Min

Topological aspects of interfaces are studied by comparing quantitatively the evolving three-color patterns in three different models, such as the three-state voter, Potts and extended voter models. The statistical analysis of some…

统计力学 · 物理学 2009-11-10 A. Szolnoki , G. Szabo

We study the behavior of a generalized consensus dynamics on a temporal network of interactions, the activity driven network with attractiveness. In this temporal network model, agents are endowed with an intrinsic activity $a$, ruling the…

物理与社会 · 物理学 2018-08-15 Antoine Moinet , Alain Barrat , Romualdo Pastor Satorras

We introduce an asymmetric noisy voter model to study the joint effect of immigration and a competition-dispersal tradeoff in the dynamics of two species competing for space in regular lattices. Individuals of one species can invade a…

种群与进化 · 定量生物学 2021-03-17 Ricardo Martinez-Garcia , Cristóbal López , Federico Vazquez

We study numerically the ordering process of two very simple dynamical models for a two-state variable on several topologies with increasing levels of heterogeneity in the degree distribution. We find that the zero-temperature Glauber…

统计力学 · 物理学 2009-11-11 Claudio Castellano , Vittorio Loreto , Alain Barrat , Federico Cecconi , Domenico Parisi

The diffusion of opinions in Social Networks is a relevant process for adopting positions and attracting potential voters in political campaigns. Opinion polarization, bias, targeted diffusion, and the radicalization of postures are key…

物理与社会 · 物理学 2022-01-10 Didier A. Vega-Oliveros , Helder L. C. Grande , Flavio Iannelli , Federico Vazquez

We examine an opinion formation model, which is a mixture of Voter and Ising agents. Numerical simulations show that even a very small fraction ($\sim 1\%$) of the Ising agents drastically changes the behaviour of the Voter model. The Voter…

统计力学 · 物理学 2017-10-25 Adam Lipowski , Dorota Lipowska , Antonio L. Ferreira

We explore the effect of interplay of interfacial noise and curvature driven dynamics in a binary spin system. An appropriate model is the generalised two dimensional voter model proposed earlier (J. Phys. A: Math. Gen. {\bf 26}, 2317…

统计力学 · 物理学 2017-02-09 Parna Roy , Parongama Sen

We introduce a variant of the voter model in which agents may have different degrees of confidence on their opinions. Those with low confidence are normal voters whose state can change upon a single contact with a different neighboring…

统计力学 · 物理学 2022-07-27 Luís Carlos F. Latoski , W. G. Dantas , Jeferson J. Arenzon

We study systems of interacting reinforced stochastic processes, where agents' decisions evolve under reinforcement, network-mediated interactions, and environmental influences. In competitive environments with irreducible networks, we…

概率论 · 数学 2025-09-18 Michele Aleandri , Paolo Dai Pra , Ida Germana Minelli

The kinetic exchange opinion model shows a well-studied order disorder transition as the noise parameter, representing discord between interacting agents, is increased. A further increase in the noise drives the model, in low dimensions, to…

The dynamics of competing opinions in social network play an important role in society, with many applications in diverse social contexts as consensus, elections, morality and so on. Here we study a model of interacting agents connected in…

物理与社会 · 物理学 2022-09-29 Antonio Mihara , Anderson A. Ferreira , André C. R. Martins , Fernando F. Ferreira

We study a model of binary decisions in a fully connected network of interacting agents. Individual decisions are determined by social influence, coming from direct interactions with neighbours, and a group level pressure that accounts for…

概率论 · 数学 2021-10-27 Michele Aleandri , Ida Germana Minelli

The voter model with memory-dependent dynamics is theoretically and numerically studied at the mean-field level. The `internal age', or time an individual spends holding the same state, is added to the set of binary states of the…

物理与社会 · 物理学 2019-09-06 Antonio F. Peralta , Nagi Khalil , Raul Toral

A new model for the dynamics of opinion formation is proposed and analysed at the mean-field level. It can be regarded as a generalization of the noisy voter model in which agents update their binary states by copying others and by an…

统计力学 · 物理学 2024-10-29 Miguel Aguilar-Janita , Andres Blanco-Alonso , Nagi Khalil

We introduce a class of stochastic models for the dynamics of two linguistic variants that are competing to become the single, shared convention within an unstructured community of speakers. Different instances of the model are…

物理与社会 · 物理学 2013-05-20 R. A. Blythe

A hybrid model for opinion dynamics in complex multi-agent networks is introduced, wherein some continuous-valued agents average neighbors' opinions to update their own, while other discrete-valued agents use stochastic copying and voting…

系统与控制 · 计算机科学 2019-04-01 Mengran Xue , Sandip Roy

The one-dimensional long-range voter model, where an agent takes the opinion of another at distance $r$ with probability $\propto r^{-\alpha}$, is studied analytically. The model displays rich and diverse features as $\alpha$ is changed.…

统计力学 · 物理学 2024-06-06 Federico Corberi , Claudio Castellano

Coupling dynamics of the states of the nodes of a network to the dynamics of the network topology leads to generic absorbing and fragmentation transitions. The coevolving voter model is a typical system that exhibits such transitions at…

物理与社会 · 物理学 2015-09-14 Marina Diakonova , Victor M. Eguiluz , Maxi San Miguel

We investigate the coarsening kinetics in a long-range variant of the Persistent Voter Model in space dimension $d=1$ and 2. In this model agents can hold two confidence levels, normal and zealot. If normal, agents take the opinion of…

统计力学 · 物理学 2026-03-17 Jeferson J. Arenzon , F. Corberi , W. G. Dantas , L. Smaldone