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In this work we present novel results to the problem of the Hegselmann-Krause dynamics in networks obtained by an extensive study of the behavior of the standard order parameter sensitive to the onset of consensus: the normalized size of…

物理与社会 · 物理学 2021-06-16 Hendrik Schawe , Sylvain Fontaine , Laura Hernández

This paper studies the evolution of the distribution of opinions in a population of individuals in which there exist two distinct subgroups of highly-committed, well-connected opinion leaders endowed with a strong convincing power. Each…

适应与自组织系统 · 物理学 2009-11-13 Nino Boccara

We study the spread of a persuasive new idea through a population of continuous-time random walkers in one dimension. The idea spreads via social gatherings involving groups of nearby walkers who act according to a biased "majority rule":…

适应与自组织系统 · 物理学 2017-01-09 James Burridge , Michal Gnacik

We study an opinion dynamics model in which each agent takes a random Bernoulli distributed action whose probability is updated at each discrete time step, and we prove that this model converges almost surely to consensus. We also provide a…

社会与信息网络 · 计算机科学 2024-01-31 Olle Abrahamsson , Danyo Danev , Erik G. Larsson

Through Monte Carlo Simulation, the well-known majority-vote model has been studied with noise on directed random graphs. In order to characterize completely the observed order-disorder phase transition, the critical noise parameter $q_c$,…

统计力学 · 物理学 2009-11-13 F. W. S. Lima , A. O. Sousa , M. A. Sumuor

Majority Illusion is a phenomenon in social networks wherein the decision by the majority of the network is not the same as one's personal social circle's majority, leading to an incorrect perception of the majority in a large network. In…

多智能体系统 · 计算机科学 2024-07-30 Jack Dippel , Max Dupré la Tour , April Niu , Sanjukta Roy , Adrian Vetta

In this work, it is pointed out that in the mean-field version of majority-rule opinion dynamics, the dependence of the consensus time on the population size exhibits two regimes. This is determined by the size distribution of the groups…

物理与社会 · 物理学 2009-10-16 Damián H. Zanette

We introduce a new opinion dynamics model where a group of agents holds two kinds of opinions: inherent and declared. Each agent's inherent opinion is fixed and unobservable by the other agents. At each time step, agents broadcast their…

系统与控制 · 电气工程与系统科学 2022-05-04 Ali Jadbabaie , Anuran Makur , Elchanan Mossel , Rabih Salhab

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…

物理与社会 · 物理学 2015-05-14 Li-Xin Zhong , Fei Ren , Tian Qiu , Jiang-Rong Xu , Bi-Hui Chen

We analyze the problem of controlling to consensus a nonlinear system modeling opinion spreading. We derive explicit exponential estimates on the cost of approximately controlling these systems to consensus, as a function of the number of…

最优化与控制 · 数学 2022-03-30 Domènec Ruiz-Balet , Enrique Zuazua

This work consists of an epidemic model with vaccination coupled with an opinion dynamics. Our objective was to study how disease risk perception can influence opinions about vaccination and therefore the spreading of the disease.…

物理与社会 · 物理学 2019-11-20 Marcelo A. Pires , André L. Oestereich , Nuno Crokidakis

In the voter model, each node of a graph has an opinion, and in every round each node chooses independently a random neighbour and adopts its opinion. We are interested in the consensus time, which is the first point in time where all nodes…

社会与信息网络 · 计算机科学 2016-05-31 Petra Berenbrink , George Giakkoupis , Anne-Marie Kermarrec , Frederik Mallmann-Trenn

The Majority Rule is applied to a topology that consists of two coupled random networks, thereby mimicking the modular structure observed in social networks. We calculate analytically the asymptotic behaviour of the model and derive a phase…

物理与社会 · 物理学 2012-08-31 R. Lambiotte , M. Ausloos

In this study, I present a theoretical social learning model to investigate how confirmation bias affects opinions when agents exchange information over a social network. Hence, besides exchanging opinions with friends, agents observe a…

理论经济学 · 经济学 2023-02-27 Marcos R. Fernandes

We study a variant of the voter model on a coevolving network in which interactions of two individuals with differing opinions only lead to an agreement on one of these opinions with a fixed probability $q$. Otherwise, with probability…

概率论 · 数学 2025-12-23 Raphael Eichhorn , Felix Hermann , Marco Seiler

We propose a nonlinear voter model to study the emergence of global consensus in opinion dynamics. In our model, agent $i$ agrees with one of binary opinions with the probability that is a power function of the number of agents holding this…

应用统计 · 统计学 2011-12-30 Han-Xin Yang , Wen-Xu Wang , Ying-Cheng Lai , Bing-Hong Wang

A polarized social network is modeled as a system of interacting marked point processes with memory of variable length. Each point process indicates the successive times in which a social actor expresses a "favorable" or "contrary" opinion.…

概率论 · 数学 2024-08-23 Antonio Galves , Kádmo Laxa

We consider a network of evolving opinions. It includes multiple individuals with first-order opinion dynamics defined in continuous time and evolving based on a general exogenously defined time-varying underlying graph. In such a network,…

动力系统 · 数学 2020-08-04 Sadegh Bolouki , Roland P. Malhame , Milad Siami , Nader Motee

Collective decision-making is a process by which a group of individuals determines a shared outcome that shapes societal dynamics; from innovation diffusion to organizational choices. A common approach to model these processes is using…

物理与社会 · 物理学 2025-04-03 Maciej Doniec , Pratik Mullick , Parongama Sen , Katarzyna Sznajd-Weron

We present a tight analysis for the well-studied randomized 3-majority dynamics of stabilizing consensus, hence answering the main open question of Becchetti et al. [SODA'16]. Consider a distributed system of n nodes, each initially holding…

分布式、并行与集群计算 · 计算机科学 2017-05-17 Mohsen Ghaffari , Johannes Lengler