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Control and estimation on large-scale social networks often necessitate the availability of models for the interactions amongst the agents. However characterizing accurate models of social interactions pose new challenges due to inherent…

Optimization and Control · Mathematics 2018-09-24 Siavash Alemzadeh , Mehran Mesbahi

In an online social network, link recommendations are a way for users to discover relevant links to people they may know, thereby potentially increasing their engagement on the platform. However, the addition of links to a social network…

Social and Information Networks · Computer Science 2024-01-18 Yanbang Wang , Jon Kleinberg

Mechanistic and tractable mathematical models play a key role in understanding how social influence shapes public opinions. Recently, a weighted-median mechanism has been proposed as a new micro-foundation of opinion dynamics and validated…

Systems and Control · Electrical Eng. & Systems 2022-12-20 Wenjun Mei , Julien M. Hendrickx , Ge Chen , Francesco Bullo , Florian Dörfler

We study how the stubbornness of social network users influences opinion polarization and disagreement. Our work is in the context of the popular Friedkin-Johnson opinion formation model, where users update their opinion as a function of…

Social and Information Networks · Computer Science 2024-10-31 Mohammad Shirzadi , Ahad N. Zehmakan

The online exchange of social recognition including, for instance, the Facebook "like" appears to produce a scarce allocation without a clear utility function defined for anyone involved. Given the importance attached to such digital…

Social and Information Networks · Computer Science 2014-09-16 Stan Palasek

We investigate the dynamics of opinion formation on social networking platforms, focusing on how individual opinions, influenced by both social connections and platform algorithms, evolve. We model this process using a differential…

Social and Information Networks · Computer Science 2024-10-15 Hind AlMahmoud , Frederik Mallmann-trenn

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…

Social and Information Networks · Computer Science 2022-08-09 Wanyue Xu , Liwang Zhu , Jiale Guan , Zuobai Zhang , Zhongzhi Zhang

Opinion evolution and judgment revision are mediated through social influence. Based on a large crowdsourced in vitro experiment (n=861), it is shown how a consensus model can be used to predict opinion evolution in online collective…

Social and Information Networks · Computer Science 2016-09-28 Corentin Vande Kerckhove , Samuel Martin , Pascal Gend , Peter J. Rentfrow , Julien M. Hendrickx , Vincent D. Blondel

Opinion Dynamics is an interdisciplinary area of research. Psychology and Sociology have proposed models of how individuals form opinions and how social interactions influence this process. Socio-Physicists have interpreted patterns in…

Multiagent Systems · Computer Science 2024-07-03 Sudhakar Krisharao , Shaja Arul Selvamani

This paper investigates a model of opinion formation on an adaptive social network, consisting of a system of coupled ordinary differential equations for individuals' opinions and corresponding network edge weights. A key driver of the…

Physics and Society · Physics 2026-02-04 Andrew Nugent , Carmen Calatayud Fernandez , Susana N. Gomes

The use of algorithmic predictions in decision-making leads to a feedback loop where the models we deploy actively influence the data distributions we see, and later use to retrain on. This dynamic was formalized by Perdomo et al. 2020 in…

Machine Learning · Computer Science 2026-03-02 Gabriele Farina , Juan Carlos Perdomo

Deterministic dynamics is a mathematical model used to describe the temporal evolution of a system, generally expressed as dx/dt = F(x), where x represents the system's state, and F(x) determines its dynamics. It is employed to understand…

Physics and Society · Physics 2024-01-04 Yasuko Kawahata

As problems in political polarization and the spread of misinformation become serious, belief propagation on a social network becomes an important question to explore. Previous breakthroughs have been made in algorithmic approaches to…

Social and Information Networks · Computer Science 2025-05-02 Yujian Fu

In this paper, we propose a new framework for the design of incentives aimed at promoting innovation diffusion in social influence networks. In particular, our framework relies on an extension of the Friedkin and Johnsen opinion dynamics…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Lisa Piccinin , Valentina Breschi , Chiara Ravazzi , Fabrizio Dabbene , Mara Tanelli

The Friedkin-Johnsen (FJ) model is a popular opinion dynamics model that explains the disagreement that can occur even among closely interacting individuals. Cluster consensus is a special type of disagreement, where agents in a network…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Aashi Shrinate , Twinkle Tripathy , Laxmidhar Behera

Opinion spreading in a society decides the fate of elections, the success of products, and the impact of political or social movements. The model by Hegselmann and Krause is a well-known theoretical model to study such opinion formation…

Data Structures and Algorithms · Computer Science 2024-04-16 Petra Berenbrink , Martin Hoefer , Dominik Kaaser , Pascal Lenzner , Malin Rau , Daniel Schmand

Consensus formation is a central problem in collective behavior. In this work, we develop quantum models of opinion dynamics that can be exactly solved and implemented on current quantum hardware. By exploiting quantum superposition,…

Physics and Society · Physics 2026-03-10 Xingyu Guo , Xiaoyang Wang , Lingxiao Wang

During deliberation processes, mediators and facilitators typically need to select a small and representative set of opinions later used to produce digestible reports for stakeholders. In online deliberation platforms, algorithmic selection…

Computers and Society · Computer Science 2026-02-18 Salim Hafid , Manon Berriche , Jean-Philippe Cointet

This paper studies community detection for a nonlinear opinion dynamics model from its equilibria. It is assumed that the underlying network is generated from a stochastic block model with two communities, where agents are assigned with…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Yu Xing , Anastasia Bizyaeva , Karl H. Johansson

In this paper, we propose a generalized opinion dynamics model (GODM), which can dynamically compute each person's expressed opinion, to solve the internal opinion maximization problem for social trust networks. In the model, we propose a…

Combinatorics · Mathematics 2021-03-11 Changxiang He , Jiayuan Zeng , Shuting Liu , Guang Zhang , Xiaofei Qin , Xuedian Zhang , Lele Liu
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