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We propose a continuous-time nonlinear model of opinion dynamics with utility-maximizing agents connected via a social influence network. A distinguishing feature of the proposed model is the inclusion of an opinion-dependent…

系统与控制 · 电气工程与系统科学 2024-11-12 Prashil Wankhede , Nirabhra Mandal , Sonia Martínez , Pavankumar Tallapragada

The adaptive voter model is widely used to model opinion dynamics in social complex networks. However, existing adaptive voter models are limited to only pairwise interactions and fail to capture the intricate social dynamics that arises in…

物理与社会 · 物理学 2025-02-04 Anastasia Golovin , Jan Mölter , Christian Kuehn

Confirmation bias and peer pressure both have substantial impacts on the formation of collective decisions. Nevertheless, few attempts have been made to study how the interplay between these two mechanisms affects public opinion evolution.…

物理与社会 · 物理学 2020-12-22 Longzhao Liu , Xin Wang , Shaoting Tang , Zhiming Zheng

The dynamical origin of opinion polarization in the real world is an interesting topic physical scientists may help to understand. To properly model the dynamics, the theory must be fully compatible with findings by social psychologists on…

适应与自组织系统 · 物理学 2014-09-03 H. F. Chau , C. Y. Wong , F. K. Chow , C. -H. F. Fung

We consider a system in which a group of agents represented by the vertices of a graph synchronously update their opinion based on that of their neighbours. If each agent adopts a positive opinion if and only if that opinion is sufficiently…

组合数学 · 数学 2020-08-12 John Haslegrave , Chris Cannings

In this paper we formulate a continuous opinion model that takes into account population growth, i.e. increase with time in the number of interacting agents $N(t)$. In our setting the population growth is governed by a generic growth rate…

偏微分方程分析 · 数学 2025-05-27 Ioannis Markou

We study a stochastic model for the coevolution of a process of opinion formation in a population of agents and the network which underlies their interaction. Interaction links can break when agents fail to reach an opinion agreement. The…

统计力学 · 物理学 2009-11-11 Santiago Gil , Damian 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

This paper proposes a co-evolutionary model of directed graphs and three opinions, i.e., conservative$(+)$, neutral$(\odot)$ and liberal$(-)$. Agents update both opinions and social relationships with bias. We find that an emergent game…

适应与自组织系统 · 物理学 2025-07-25 Yakun Wang , Yuan Liu , Bin Wu

To reach consensus among interacting agents is a problem of interest for social, economical, and political systems. A computational and mathematical framework to investigate consensus dynamics on complex networks is naming games. In…

物理与社会 · 物理学 2018-09-10 Zhong-Yan Fan , Ying-Cheng Lai , Wallace Kit-Sang Tang

In this paper we study collective decision making on a multi-population, represented by a regular network of groups of individuals. Each group consists of a collection of players and every player can choose between two options. A group is…

最优化与控制 · 数学 2020-11-18 Wouter Baar , Dario Bauso

To investigate how consensus is reached on a large self-organized peer-to-peer network, we extended the naming game model commonly used in language and communication to Naming Game in Groups (NGG). Differing from other existing naming game…

社会与信息网络 · 计算机科学 2014-08-25 Yuan Gao , Guanrong Chen , Rosa H. M. Chan

We study the dynamics of opinion formation in a heterogeneous voter model on a complete graph, in which each agent is endowed with an integer fitness parameter $k \ge 0$, in addition to its $+$ or $-$ opinion state. The evolution of the…

物理与社会 · 物理学 2017-10-04 Anthony Woolcock , Colm Connaughton , Yasmin Merali , Federico Vazquez

Here we study the emergence of spontaneous leadership in large populations. In standard models of opinion dynamics, herding behavior is only obeyed at the local scale due to the interaction of single agents with their neighbors; while at…

物理与社会 · 物理学 2015-06-11 Guillem Mosquera-Donate , Marian Boguna

Opinion polarization is a ubiquitous phenomenon in opinion dynamics. In contrast to the traditional consensus oriented group decision making (GDM) framework, this paper proposes a framework with the co-evolution of both opinions and…

社会与信息网络 · 计算机科学 2017-05-18 Qingxing Dong , Xin Zhou

This paper proposes a mathematical model for the coevolution of actions and opinions for a population facing a social dilemma. In particular, we assume each person participates in a Public Goods Game (PGG), with their action being to…

动力系统 · 数学 2026-04-13 Ella C. Davidson , Lorenzo Zino , Ming Cao , Mengbin Ye

As an important factor governing opinion dynamics, stubbornness strongly affects various aspects of opinion formation. However, a systematically theoretical study about the influences of heterogeneous stubbornness on opinion dynamics is…

社会与信息网络 · 计算机科学 2022-08-09 Wanyue Xu , Liwang Zhu , Jiale Guan , Zuobai Zhang , Zhongzhi Zhang

We study an opinion dynamics model that explores the competition between persuasion and compromise in a population of agents with nearest-neighbor interactions on a two-dimensional square lattice. Each agent can hold either a positive or a…

物理与社会 · 物理学 2019-12-03 Fátima Velásquez-Rojas , Federico Vazquez

In this paper, we study opinion dynamics in a balanced social structure consisting of two groups. Agents learn the true state of the world naively learning from their neighbors and from an unbiased source of information. Agents want to…

理论经济学 · 经济学 2022-05-03 Sebastiano Della Lena , Luca Paolo Merlino

Polarization and fragmentation in social media amplify user biases, making it increasingly important to understand the evolution of opinions. Opinion dynamics provide interpretability for studying opinion evolution, yet incorporating these…

社会与信息网络 · 计算机科学 2025-02-18 Hao Li , Hao Jiang , Yuke Zheng , Hao Sun , Wenying Gong