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We study simple interacting particle systems on heterogeneous networks, including the voter model and the invasion process. These are both two-state models in which in an update event an individual changes state to agree with a neighbor.…

物理与社会 · 物理学 2009-09-29 V. Sood , Tibor Antal , 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,…

物理与社会 · 物理学 2025-09-30 Francisco J. Muñoz , Juan Carlos Nuño

The constrained voter model describes the dynamics of opinions in a population of individuals located on a connected graph. Each agent is characterized by her opinion, where the set of opinions is represented by a finite sequence of…

概率论 · 数学 2013-10-02 Nicolas Lanchier , Stylianos Scarlatos

We introduce the confident voter model, in which each voter can be in one of two opinions and can additionally have two levels of commitment to an opinion --- confident and unsure. Upon interacting with an agent of a different opinion, a…

物理与社会 · 物理学 2015-03-19 D. Volovik , S. Redner

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…

多智能体系统 · 计算机科学 2024-03-14 Luca Becchetti , Vincenzo Bonifaci , Emilio Cruciani , Francesco Pasquale

In recent years, opinion dynamics has received an increasing attention, and various models have been introduced and evaluated mainly by simulation. In this study, we introduce and study a dynamical model inspired by the so-called `bounded…

动力系统 · 数学 2018-11-07 Sergei Yu. Pilyugin , M. C. Campi

We study the voter model dynamics in the presence of confidence and bias. We assume two types of voters. Unbiased voters whose confidence is indifferent to the state of the voter and biased voters whose confidence is biased towards a common…

物理与社会 · 物理学 2022-08-10 Agnieszka Czaplicka , Christos Charalambous , Raul Toral , Maxi San Miguel

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…

最优化与控制 · 数学 2022-11-28 Milan Vojnovic , Kaifang Zhou

We study a generalization of the voter model on complex networks, focusing on the scaling of mean exit time. Previous work has defined the voter model in terms of an initially chosen node and a randomly chosen neighbor, which makes it…

统计力学 · 物理学 2015-05-13 Casey M. Schneider-Mizell , Leonard M. Sander

We introduce and study the reverse voter model, a dynamics for spin variables similar to the well-known voter dynamics. The difference is in the way neighbors influence each other: once a node is selected and one among its neighbors chosen,…

统计力学 · 物理学 2009-11-11 Claudio Castellano

The voter model consists of a set of agents whose opinion is a binary variable. At each time step, an agent along with a social neighbor is selected and the agent imitates the social neighbor at the next time step. In this paper, we study a…

概率论 · 数学 2023-07-06 Hsin-Lun Li

The voter model is a toy model of consensus formation based on nearest-neighbor interactions. A voter sits at each vertex in a hypercubic lattice (of dimension $d$) and is in one of two possible opinion states. The opinion state of each…

统计力学 · 物理学 2023-11-08 Pascal Grange

Two of the main factors shaping an individual's opinion are social coordination and personal preferences, or personal biases. To understand the role of those and that of the topology of the network of interactions, we study an extension of…

物理与社会 · 物理学 2023-06-07 Filippo Zimmaro , Pierluigi Contucci , János Kertész

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…

统计力学 · 物理学 2015-05-27 G. J. Baxter

We generalize a binary majority-vote model on adaptive networks to a plurality-vote counterpart. When opinions are uniformly distributed in the population of voters in the initial state, it is found that having more available opinions in…

物理与社会 · 物理学 2016-06-24 Degang Wu , Kwok Yip Szeto

The Voter model is a well-studied stochastic process that models the invasion of a novel trait $A$ (e.g., a new opinion, social meme, genetic mutation, magnetic spin) in a network of individuals (agents, people, genes, particles) carrying…

种群与进化 · 定量生物学 2023-02-28 Petros Petsinis , Andreas Pavlogiannis , Panagiotis Karras

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…

物理与社会 · 物理学 2020-01-27 Deepak Bhat , S. Redner

Belief perseverance is the widely documented tendency of holding to a belief, even in the presence of contradicting evidence. In online environments, this tendency leads to heated arguments with users ``blocking'' each other. Introducing…

物理与社会 · 物理学 2025-01-20 André Martin Timpanaro

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

Consider an undirected graph G, representing a social network, where each node is blue or red, corresponding to positive or negative opinion on a topic. In the voter model, in discrete time rounds, each node picks a neighbour uniformly at…

社会与信息网络 · 计算机科学 2025-06-03 Abhiram Manohara , Ahad N. Zehmakan
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