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This paper gives lower bounds for the probability of consensus for two spatially explicit stochastic opinion models. Both processes are characterized by two finite connected graphs, that we call respectively the spatial graph and the…

概率论 · 数学 2019-12-17 Mela Hardin , Nicolas Lanchier

We study finite-size effects on the convergence time in a continuous-opinion dynamics model. In the model, each individual's opinion is represented by a real number on a finite interval, e.g., $[0,1]$, and a uniformly randomly chosen…

物理与社会 · 物理学 2021-07-28 Hang-Hyun Jo , Naoki Masuda

We propose an opinion model based on agents located at the vertices of a regular lattice. Each agent has an independent opinion (among an arbitrary, but fixed, number of choices) and its own degree of conviction. The latter changes every…

物理与社会 · 物理学 2012-05-29 S. R. Souza , S. Goncalves

Social interactions influence people's opinions. In some situations, these interactions eventually yield a consensus opinion; in others, they can lead to opinion fragmentation and the formation of different opinion groups in the form of…

物理与社会 · 物理学 2025-08-01 Lasse Mohr , Poul G. Hjorth , Mason A. Porter

In modern interconnected societies, opinions and beliefs can quickly spread across large populations, giving rise to collective behaviors such as the adoption of social norms or polarization. These phenomena have motivated many models aimed…

物理与社会 · 物理学 2026-05-27 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat

The convergence rate is a crucial issue in opinion dynamics, which characterizes how quickly opinions reach a consensus and tells when the collective behavior can be formed. However, the key factors that determine the convergence rate of…

最优化与控制 · 数学 2024-09-17 Lingling Yao , Aming Li

In models of opinion dynamics, many parameters -- either in the form of constants or in the form of functions -- play a critical role in describing, calibrating, and forecasting how opinions change with time. When examining a model of…

社会与信息网络 · 计算机科学 2023-10-27 Weiqi Chu , Qin Li , Mason A. Porter

The existence of juxtaposed regions of distinct cultures in spite of the fact that people's beliefs have a tendency to become more similar to each other's as the individuals interact repeatedly is a puzzling phenomenon in the social…

计算物理 · 物理学 2010-11-05 Lucas R. Peres , Jose F. Fontanari

We study a model of opinion formation where the collective decision of group is said to happen if the fraction of agents having the most common opinion exceeds a threshold value, a \textit{critical mass}. We find that there exists a unique,…

物理与社会 · 物理学 2015-05-18 Zhi-Xi Wu , Petter Holme

We study opinion dynamics over multiplex networks where agents interact with bounded confidence. Namely, two neighbouring individuals exchange opinions and compromise if their opinions do not differ by more than a given threshold. In…

物理与社会 · 物理学 2018-01-30 Chris G. Antonopoulos , Yilun Shang

In this modification of the Sznajd consensus model on the square lattice, two people of arbitrary distance who agree in their opinions convince their nearest neighbours of this opinion. Similarly to the mean field theory of Slanina and…

统计力学 · 物理学 2009-11-10 Christian Schulze

The dynamical process of opinion formation within a model using a local majority opinion updating rule is studied numerically in networks with the small-world geometrical property. The network is one in which shortcuts are added to randomly…

物理与社会 · 物理学 2009-11-11 Ping-Ping Li , Da-Fang Zheng , P. M. Hui

We present an extensive study of the joint effects of heterogeneous social agents and their heterogeneous social links in a bounded confidence opinion dynamics model. The full phase diagram of the model is explored for two different…

物理与社会 · 物理学 2023-01-24 Rémi Perrier , Hendrik Schawe , Laura Hernández

Online platforms for social interactions are an essential part of modern society. With the advance of technology and the rise of algorithms and AI, content is now filtered systematically and facilitates the formation of filter bubbles. This…

In this manuscript, we introduce and study a variant of the agent-based opinion dynamics proposed in a recent work [8], within the framework of an interacting multi-agent system, where agents are assumed to interact with each other and…

概率论 · 数学 2026-01-30 Fei Cao , Roberto Cortez

A continuous-opinion model accounting for the social compromise propensity is theoretically and numerically analysed. An agent's opinion is represented by a real number that can be changed through social interactions with her neighbours.…

物理与社会 · 物理学 2025-10-09 Carlos Uriarte , Pablo Rodriguez-Lopez , Nagi Khalil

We study the consensus formation for an agents based model, generalizing that originally proposed by Krause \cite{Kr}, by allowing the communication channels between any couple of agents to be switched on or off randomly, at each time step,…

社会与信息网络 · 计算机科学 2026-03-26 Gianfelice Michele , Giuseppe Scola

We study the effect of group interactions on the emergence of consensus in a spin system. Agents with discrete opinions $\{0,1\}$ form groups. They can change their opinion based on their group's influence (voter dynamics), but groups can…

物理与社会 · 物理学 2022-05-25 Nikos Papanikolaou , Giacomo Vaccario , Erik Hormann , Renaud Lambiotte , Frank Schweitzer

We investigate an opinion model consisting of a large group of interacting agents, whose opinions are represented as numbers in $[-1,1]$. At each update time, two random agents are selected, and the opinion of the first agent is updated…

概率论 · 数学 2024-08-06 Fei Cao , Roberto Cortez

Recent technological changes have increased connectivity between individuals around the world leading to higher frequency interactions between members of communities that would be otherwise distant and disconnected. This paper examines a…

社会与信息网络 · 计算机科学 2020-01-13 Hossein Noorazar , Matthew Sottile , Kevin Vixie
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