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In this paper, the effect on collective opinions of filtering algorithms managed by social network platforms is modeled and investigated. A stochastic multi-agent model for opinion dynamics is proposed, that accounts for a centralized…

Social and Information Networks · Computer Science 2018-07-10 P. Bolzern , P. Colaneri , G. De Nicolao

The focus of this paper is modeling what we call a Social Radar, i.e. a method to estimate the relative influence between social agents, by sampling their opinions and as they evolve, after injecting in the network stubborn agents. The…

Social and Information Networks · Computer Science 2016-11-17 Hoi-To Wai , Anna Scaglione , Amir Leshem

Consider an undirected graph G, representing a social network, where each node is blue or red, corresponding to positive or negative opinion on a topic. In the voter model, in discrete time rounds, each node picks a neighbour uniformly at…

Social and Information Networks · Computer Science 2025-06-03 Abhiram Manohara , Ahad N. Zehmakan

The paper studies the problem of steering multi-dimensional opinion in a social network. Assuming the society of desire consists of stubborn and regular agents, stubborn agents are considered as leaders who specify the desired opinion…

Systems and Control · Electrical Eng. & Systems 2025-02-07 Hossein Rastgoftar

Link recommendation systems in online social networks (OSNs), such as Facebook's ``People You May Know'', Twitter's ``Who to Follow'', and Instagram's ``Suggested Accounts'', facilitate the formation of new connections among users. This…

Social and Information Networks · Computer Science 2024-03-01 Xiaolong Chen , Yifan Song , Jing Tang

We propose a stochastic model of opinion exchange in networks. A finite set of agents is organized in a fixed network structure. There is a binary state of the world and each agent receives a private signal on the state. We model beliefs as…

Theoretical Economics · Economics 2022-01-31 Emilien Macault

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,…

Physics and Society · Physics 2025-09-30 Francisco J. Muñoz , Juan Carlos Nuño

The rapid proliferation of social media as a dominant channel for information dissemination has intensified concerns over systemic information distortion, whereby content is progressively altered through successive layers of transmission.…

Physics and Society · Physics 2025-07-16 Kaiming Luo

In recent years online social networks have become increasingly prominent in political campaigns and, concurrently, several countries have experienced shock election outcomes. This paper proposes a model that links these two phenomena. In…

Theoretical Economics · Economics 2020-11-03 Edoardo Gallo , Alastair Langtry

We consider the problem of optimizing the placement of stubborn agents in a social network in order to maximally influence the population. We assume the network contains stubborn users whose opinions do not change, and non-stubborn users…

Social and Information Networks · Computer Science 2022-07-13 D. Scott Hunter , Tauhid Zaman

Opinion diffusion is a crucial phenomenon in social networks, often underlying the way in which a collective of agents develops a consensus on relevant decisions. The voter model is a well-known theoretical model to study opinion spreading…

Multiagent Systems · Computer Science 2024-03-14 Luca Becchetti , Vincenzo Bonifaci , Emilio Cruciani , Francesco Pasquale

We introduce a new threshold model of social networks, in which the nodes influenced by their neighbours can adopt one out of several alternatives. We characterize the graphs for which adoption of a product by the whole network is possible…

Social and Information Networks · Computer Science 2015-03-19 Krzysztof R. Apt , Evangelos Markakis

Election polls play a critical role in political discussions by probing public opinion and enabling political parties to assess their performance before elections. However, traditional polling methods sometimes fail to predict election…

The operation of adding edges has been frequently used to the study of opinion dynamics in social networks for various purposes. In this paper, we consider the edge addition problem for the DeGroot model of opinion dynamics in a social…

Social and Information Networks · Computer Science 2021-06-14 Xiaotian Zhou , Zhongzhi Zhang

Social choice theory offers a wealth of approaches for selecting a candidate on behalf of voters based on their reported preference rankings over options. When voters have underlying utilities for these options, however, using preference…

Computer Science and Game Theory · Computer Science 2025-10-24 Luise Ge , Gregory Kehne , Yevgeniy Vorobeychik

We consider a group of agents connected by a social network who participate in majority dynamics: each agent starts with an opinion in {-1,+1} and repeatedly updates it to match the opinion of the majority of its neighbors. We assume that…

Probability · Mathematics 2015-06-02 Omer Tamuz , Ran J. Tessler

Topological heterogeneities of social networks have a strong impact on the individuals embedded in those networks. One of the interesting phenomena driven by such heterogeneities is the friendship paradox (FP), stating that the mean degree…

Physics and Society · Physics 2019-05-15 Eun Lee , Sungmin Lee , Young-Ho Eom , Petter Holme , Hang-Hyun Jo

The spread of ideas in online social networks is a crucial phenomenon to understand nowadays the proliferation of fake news and their impact in democracies. This makes necessary to use models that mimic the circulation of rumors. The law of…

Social and Information Networks · Computer Science 2019-10-18 Jesus San Martin , Fatima Drubi , Daniel Rodriguez-Perez

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…

Probability · Mathematics 2023-07-06 Hsin-Lun Li

We study an influence network of voters subjected to correlated disordered external perturbations, and solve the dynamical equations exactly for fully connected networks. The model has a critical phase transition between disordered unimodal…

Physics and Society · Physics 2018-09-26 Marlon Ramos , Marcus A. M. de Aguiar , Dan Braha