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We introduce two models of consensus following a majority rule on time-evolving stochastic block models (SBM), in which the network evolution is Markovian or non-Markovian. Under the majority rule, in each round, each agent simultaneously…

概率论 · 数学 2022-09-12 Haoyu Wang , Jiaheng Wei , Zhenyuan Zhang

Collective decision-making in biological and human groups often emerges from simple interaction rules that amplify minor differences into consensus. The bee equation, developed initially to describe nest-site selection in honeybee swarms,…

多智能体系统 · 计算机科学 2026-03-11 David Freire-Obregón

We present a model of opinion dynamics in which agents adjust continuous opinions as a result of random binary encounters whenever their difference in opinion is below a given threshold. High thresholds yield convergence of opinions towards…

无序系统与神经网络 · 物理学 2007-05-23 Gerard Weisbuch , Guillaume Deffuant , Frederic Amblard , Jean Pierre Nadal

Axelrod model describes the dissemination of a set of cultural traits in a society constituted by individual agents. In a social context, nevertheless, individual choices toward a specific attitude are also at the basis of the formation of…

物理与社会 · 物理学 2009-06-22 Andrea Apolloni , Floriana Gargiulo

In a previous paper we proposed a model to study the dynamics of opinion formation in human societies by a co-evolution process involving two distinct time scales of fast transaction and slower network evolution dynamics. In the transaction…

物理与社会 · 物理学 2012-05-22 Gerardo Iñiguez , Rafael A. Barrio , János Kertész , Kimmo K. Kaski

Opinion dynamics, the evolution of individuals through social interactions, is an important area of research with applications ranging from politics to marketing. Due to its interdisciplinary relevance, studies of opinion dynamics remain…

社会与信息网络 · 计算机科学 2025-11-04 Mohammad Shirzadi , Emilio Cruciani , Ahad N. Zehmakan

Consideration was given to a model of social dynamics controlled by successive collective decisions based on the threshold majority procedures. The current system state is characterized by the vector of participants' capitals (utilities).…

最优化与控制 · 数学 2009-02-27 V. I. Borzenko , Z. M. Lezina , A. K. Loginov , Ya. Yu. Tsodikova , P. Yu. Chebotarev

Distribution shifts have long been regarded as troublesome external forces that a decision-maker should either counteract or conform to. An intriguing feedback phenomenon termed decision dependence arises when the deployed decision affects…

最优化与控制 · 数学 2025-03-11 Zhiyu He , Saverio Bolognani , Florian Dörfler , Michael Muehlebach

Latent factor models are widely used in the social and behavioral science as scaling tools to map discrete multivariate outcomes into low dimensional, continuous scales. In political science, dynamic versions of classical factor models have…

应用统计 · 统计学 2026-01-28 Rayleigh Lei , Abel Rodriguez

The interplay of social and strategic motivations in human interactions is a largely unexplored question in collective social phenomena. Whether individuals' decisions are taken in a pure strategic basis or due to social pressure without a…

物理与社会 · 物理学 2014-09-19 Daniele Vilone , Jose J. Ramasco , Angel Sánchez , Maxi San Miguel

In many real world situations, collective decisions are made using voting and, in scenarios such as committee or board elections, employing voting rules that return multiple winners. In multi-winner approval voting (AV), an agent submits a…

计算机科学与博弈论 · 计算机科学 2020-12-08 Jaelle Scheuerman , Jason Harman , Nicholas Mattei , K. Brent Venable

The cognitive process of opinion formation is often characterized by stubbornness or resistance of agents to changes of opinion. To capture such a feature we introduce a constant latency time in the standard voter model of opinion dynamics:…

物理与社会 · 物理学 2024-08-27 Giovanni Palermo , Anna Mancini , Antonio Desiderio , Riccardo Di Clemente , Giulio Cimini

This paper presents a mathematical model for opinion dynamics in popularity-adaptive social networks, where both opinion spreading and the evolution of social media contacts depend on agents' popularity and the prominence of their views.…

最优化与控制 · 数学 2026-03-04 Giacomo Albi , Elisa Calzola , Matteo Piu

We present a new method for probabilistic elicitation of expert knowledge using binary responses of human experts assessing simulated data from a statistical model, where the parameters are subject to uncertainty. The binary responses…

统计方法学 · 统计学 2020-03-10 Owen Thomas , Henri Pesonen , Jukka Corander

The combined effects of collective beliefs and individual stubbornness in the dynamic of a public debate are investigated using the Galam sequential probabilistic model of opinion dynamics. The study is focused on pair interactions for…

物理与社会 · 物理学 2010-06-14 Serge Galam

We here discuss the process of opinion formation in an open community where agents are made to interact and consequently update their beliefs. New actors (birth) are assumed to replace individuals that abandon the community (deaths). This…

物理与社会 · 物理学 2008-07-28 Timoteo Carletti , Duccio Fanelli , Alessio Guarino , Franco Bagnoli , Andrea Guazzini

A recently proposed model of social interaction in voting is investigated by simplifying it down into a version that is more analytically tractable and which allows a mathematical analysis to be performed. This analysis clarifies the…

物理与社会 · 物理学 2016-07-20 Luis F. Lafuerza , Louise Dyson , Bruce Edmonds , Alan J. McKane

We examine kinetic symmetry breaking phenomena in an evolutionary political game in which voters, inhabiting a multidimensional ideological space, cast ballots via selection mechanisms subject to the competing forces of conformity and…

统计力学 · 物理学 2007-05-23 Arne Soulier , Tim Halpin-Healy

The voter model on networks is crucial to understand opinion formation. Uni-directional social interactions are ubiquitous in real social networks whereas undirected interactions are intensively studied. We establish a voter model on a…

物理与社会 · 物理学 2023-07-13 Yakun Wang , Bin Wu

We study a model of a population making a binary decision based on information spreading within the population, which is fully connected or covering a square grid. We assume that a fraction of the population wants to make the choice of the…

物理与社会 · 物理学 2016-05-24 Petter Holme , Hang-Hyun Jo