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With the success of general conceptual frameworks of statistical physics, many scholars have tried to apply these concepts to other interdisciplinary fields, such as socio-politics, economics, biology, medicine, and many more. In this work,…

物理与社会 · 物理学 2023-11-23 Roni Muslim , Rinto Anugraha NQZ , Muhammad Ardhi Khalif

Engaging with dissenting views, fostering productive disagreements or strategic anticonformity can benefit organizations as it challenges the status quo. The question arises, however, whether such strategic anticonformity ultimately leads…

物理与社会 · 物理学 2024-04-08 Arkadiusz Lipiecki , Katarzyna Sznajd-Weron

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

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

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 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…

概率论 · 数学 2022-03-04 Arpan Mukhopadhyay , Ravi R. Mazumdar , Rahul Roy

The voter model and the Axelrod model are two of the main stochastic processes that describe the spread of opinions on networks. The former includes social influence, the tendency of individuals to become more similar when they interact,…

概率论 · 数学 2010-12-30 Nicolas Lanchier

Given a transition matrix $P$ indexed by a finite set $V$ of vertices, the voter model is a discrete-time Markov chain in $\{0,1\}^V$ where at each time-step a randomly chosen vertex $x$ imitates the opinion of vertex $y$ with probability…

概率论 · 数学 2024-10-03 Richard Pymar , Nicolás Rivera

In this article, we consider machine learning algorithms to accurately predict two variables associated with the $Q$-voter model in complex networks, i.e., (i) the consensus time and (ii) the frequency of opinion changes. Leveraging nine…

物理与社会 · 物理学 2023-10-16 Aruane M. Pineda , Paul Kent , Colm Connaughton , Francisco A. Rodrigues

In this work we study the majority-vote model with the presence of two distinc noises. The first one is the usual noise $q$, that represents the probability that a given agent follows the minority opinion of his/her social contacts. On the…

物理与社会 · 物理学 2016-03-18 Allan R. Vieira , Nuno Crokidakis

In this paper we examine a variant of the voter model on a dynamically changing network where agents have the option of changing their friends rather than changing their opinions. We analyse, in the context of dense random graphs, two…

概率论 · 数学 2015-01-14 Riddhipratim Basu , Allan Sly

Consider a long-range, one-dimensional voter model started with all zeroes on the negative integers and all ones on the positive integers. If the process obtained by identifying states that are translations of each other is positively…

概率论 · 数学 2007-07-11 Anja Sturm , Jan M. Swart

We investigate the convergence towards equilibrium of the noisy voter model, evolving in the complete graph with n vertices. The noisy voter model is a version of the voter model, on which individuals change their opinions randomly due to…

概率论 · 数学 2024-09-10 Enzo Aljovin , Milton Jara , Yangrui Xiang

Non-linear voter models assume that the opinion of an agent depends on the opinions of its neighbors in a non-linear manner. This allows for voting rules different from majority voting. While the linear voter model is known to reach…

物理与社会 · 物理学 2016-04-27 Frank Schweitzer , Laxmidhar Behera

We consider a stochastic, continuous state and time opinion model where each agent's opinion locally interacts with other agents' opinions in the system, and there is also exogenous randomness. The interaction tends to create clusters of…

社会与信息网络 · 计算机科学 2016-02-29 Josselin Garnier , George Papanicolaou , Tzu-Wei Yang

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…

物理与社会 · 物理学 2013-11-06 Naoki Masuda

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

We study a variant of the voter model with multiple opinions; individuals can imitate each other and also change their opinion randomly in mutation events. We focus on the case of a population with all-to-all interaction. A noise-driven…

物理与社会 · 物理学 2019-08-14 Francisco Herrerías-Azcué , Tobias Galla

Observational learning is an important information aggregation mechanism. However, it occasionally leads to a state in which an entire population chooses a sub-optimal option. When it occurs and whether it is a phase transition remain…

物理与社会 · 物理学 2012-11-13 Shintaro Mori , Masato Hisakado , Taiki Takahashi

For the voter model, we study the effect of a memory-dependent transition rate. We assume that the transition of a spin into the opposite state decreases with the time it has been in its current state. Counter-intuitively, we find that the…

无序系统与神经网络 · 物理学 2009-11-13 Hans-Ulrich Stark , Claudio J. Tessone , Frank Schweitzer