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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

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

The voter model rules are simple, with agents copying the state of a random neighbor, but they lead to non-trivial dynamics. Besides opinion processes, the model has also applications for catalysis and species competition. Inspired by the…

Physics and Society · Physics 2018-09-13 Oriol Artime , Juan Fernandez-Gracia , Jose J. Ramasco , Maxi San Miguel

The voter model is a classical interacting particle system modelling how consensus is formed across a network. We analyse the time to consensus for the voter model when the underlying graph is a subcritical scale-free random graph.…

Probability · Mathematics 2020-06-02 John Fernley , Marcel Ortgiese

We investigate an extension of the voter model in which voters are equipped with an individual inertia to change their opinion. This inertia depends on the persistence time of a voter's current opinion (ageing). We focus on the case of only…

Physics and Society · Physics 2009-04-07 Hans-Ulrich Stark , Claudio J. Tessone , Frank Schweitzer

The adaptive voter model is widely used to model opinion dynamics in social complex networks. However, existing adaptive voter models are limited to only pairwise interactions and fail to capture the intricate social dynamics that arises in…

Physics and Society · Physics 2025-02-04 Anastasia Golovin , Jan Mölter , Christian Kuehn

We study the effect of communication delays on distributed consensus algorithms. Two ways to model delays on a network are presented. The first model assumes that each link delivers messages with a fixed (constant) amount of delay, and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-07-26 Konstantinos I. Tsianos , Michael G. Rabbat

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

Majority-vote model is a much-studied model for social opinion dynamics of two competing opinions. With the recent appreciation that our social network comprises a variety of different layers forming a multiplex network, a natural question…

Physics and Society · Physics 2019-05-22 Jeehye Choi , K. -I. Goh

The voter model is an archetypal stochastic process that represents opinion dynamics. In each update, one agent is chosen uniformly at random. The selected agent then copies the current opinion of a randomly selected neighbour. We…

Physics and Society · Physics 2020-11-20 Michael T. Gastner , Kota Ishida

The adaptive voter model is a paradigmatic model in the study of opinion formation. Here we propose an extension for this model, in which conflicts are resolved by obtaining another opinion, and analytically study the time required for…

Physics and Society · Physics 2013-10-02 Tim Rogers , Thilo Gross

Opinion dynamics is crucial for unraveling the complexities of human interaction in the information age. How to speed up consensus without disturbing the fate of the system is key for opinion dynamics. We propose a voter model on adaptive…

Physics and Society · Physics 2023-12-12 Xunlong Wang , Bin Wu

In this paper, we study a model of opinion dynamics in a social network in the presence increasing interpersonal influence, i.e., increasing peer pressure. Each agent in the social network has a distinct social stress function given by a…

Social and Information Networks · Computer Science 2017-06-20 Justin Semonsen , Christopher Griffin , Anna Squicciarini , Sarah Rajtmajer

We investigate the effects of aging in the noisy voter model considering that the probability to change states decays algebraically with age $\tau$, defined as the time elapsed since adopting the current state. We study the complete aging…

Physics and Society · Physics 2025-02-28 Jaume Llabrés , Sara Oliver-Bonafoux , Celia Anteneodo , Raúl Toral

Opinion diffusion is a crucial phenomenon in social networks, often underlying the way in which a collective of agents develops a consensus on relevant decisions. The voter model is a well-known theoretical model to study opinion spreading…

Multiagent Systems · Computer Science 2024-03-14 Luca Becchetti , Vincenzo Bonifaci , Emilio Cruciani , Francesco Pasquale

This paper studies opinion dynamics in multilayer (social) networks. Extending a single-layer model, we formulate opinion updates as a synchronous coordination game in which agents minimize a local cost to stay close to their neighbors'…

Computer Science and Game Theory · Computer Science 2026-05-21 Ruey-An Shiu , Parinaz Naghizadeh

This paper studies a consensus problem in multidimensional networks having the same agent-to-agent interaction pattern under both intra- and cross-layer time delays. Several conditions for the agents to asymptotically reach a consensus are…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Hoang Huy Vu , Quyen Ngoc Nguyen , Tuynh Van Pham , Chuong Van Nguyen , Minh Hoang Trinh

In the coevolution of network structures and opinion formation, we investigate the effects of a mixed population with distinctive relinking preferences on both the convergence time and the network structures. It has been found that a…

Physics and Society · Physics 2015-05-14 Li-Xin Zhong , Fei Ren , Tian Qiu , Jiang-Rong Xu , Bi-Hui Chen

The voter model is a classical interacting particle system, modelling how global consensus is formed by local imitation. We analyse the time to consensus for a particular family of voter models when the underlying structure is a scale-free…

Probability · Mathematics 2024-01-11 John Fernley

We consider a model of binary opinion dynamics where one opinion is inherently 'superior' than the other and social agents exhibit a 'bias' towards the superior alternative. Specifically, it is assumed that an agent updates its choice to…

Probability · Mathematics 2024-05-01 Arpan Mukhopadhyay
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