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Personalized content on social platforms can exacerbate negative phenomena such as polarization, partly due to the feedback interactions between recommendations and the users. In this paper, we present a control-theoretic recommender system…

Systems and Control · Electrical Eng. & Systems 2024-09-27 Sanjay Chandrasekaran , Giulia De Pasquale , Giuseppe Belgioioso , Florian Dörfler

This paper addresses the problem of designing recommendation systems for social networks and e-commerce platforms from a control-theoretic perspective. We treat the design of recommendation systems as a state-feedback infinite-horizon…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Simone Mariano , Paolo Frasca

This paper presents a comprehensive analytical formulation for deriving a closed-form optimal strategy for agents operating within a social network, modeled through a McKean-Vlasov stochastic differential equation (SDE). Each agent aims to…

Optimization and Control · Mathematics 2025-08-26 Paramahansa Pramanik

This paper focuses on describing the impact of policy actions on individuals' opinions in the presence of social and external influences toward proposing preliminary nudging strategies to achieve a cost-effectiveness trade-off. To this end,…

Systems and Control · Electrical Eng. & Systems 2025-02-04 Valentina Breschi , Chiara Ravazzi , Paolo Frasca , Fabrizio Dabbene , Mara Tanelli

Shifting social opinions has far-reaching implications in various aspects, such as public health campaigns, product marketing, and political candidates. In this paper, we study a problem of opinion optimization based on the popular…

Social and Information Networks · Computer Science 2023-06-30 Haoxin Sun , Zhongzhi Zhang

Online social networks have become an integral part of modern society, profoundly influencing how individuals form and exchange opinions across diverse domains ranging from politics to public health. The Friedkin-Johnsen model serves as a…

Social and Information Networks · Computer Science 2025-11-05 Gengyu Wang , Runze Zhang , Zhongzhi Zhang

Modern social networks rely on recommender systems that inadvertently amplify misinformation by prioritizing engagement over content veracity. We present a control framework that mitigates misinformation spread while maintaining user…

Social and Information Networks · Computer Science 2025-11-18 Nicolo' Pagan , Andreas Philippou , Giulia De Pasquale

This article studies the evolution of opinions and interpersonal influence structures in a group of agents as they discuss a sequence of issues, each of which follows an opinion dynamics model. In this work, we propose a general opinion…

Social and Information Networks · Computer Science 2017-11-20 Susana Rey , Patricio Reyes , Alonso Silva

Social power quantifies the ability of individuals to influence others and plays a central role in social influence networks. Yet, computing social power typically requires global knowledge and significant computational or storage…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Ye Tian , Angela Fontan , Yu Kawano , Wei Zhang , Kenji Kashima , Karl H. Johansson

Recommendation systems have received considerable attention recently. However, most research has been focused on improving the performance of collaborative filtering (CF) techniques. Social networks, indispensably, provide us extra…

Information Retrieval · Computer Science 2013-05-21 Shang Shang , Pan Hui , Sanjeev R. Kulkarni , Paul W. Cuff

This article presents a rigorous mathematical analysis of the Friedkin--Johnsen model of social influence on networks. We frame the opinion dynamics as a discrete boundary-value problem on a network, emphasizing the role of stubborn…

Social and Information Networks · Computer Science 2026-02-10 Moses Boudourides

In this paper we propose a novel control approach for opinion dynamics on evolving networks. The controls modify the strength of connections in the network, rather than influencing opinions directly, with the overall goal of steering the…

Physics and Society · Physics 2024-04-16 Andrew Nugent , Susana N. Gomes , Marie-Therese Wolfram

Popularity dynamics in social media depend on a complex interplay of social influence between users and popularity-based recommendations that are provided by the platforms. In this work, we introduce a discrete-time dynamical system to…

Social and Information Networks · Computer Science 2025-07-01 Gaya Cocca , Paolo Frasca , Chiara Ravazzi

We consider the design of external inputs to achieve a control objective on the opinions, represented by scalars, in a social network. The opinion dynamics follow a variant of the discrete-time Friedkin-Johnsen model. We first consider two…

Social and Information Networks · Computer Science 2021-01-29 Mohak Goyal , Nikhil Karamchandani , Debasish Chatterjee , D. Manjunath

For decades, researchers have been trying to understand how people form their opinions. This quest has become even more pressing with the widespread usage of online social networks and social media, which seem to amplify the already…

Social and Information Networks · Computer Science 2023-05-23 E. Biondi , C. Boldrini , A. Passarella , M. Conti

This paper investigates the problem of leadership development for an external influencer using the Friedkin-Johnsen (FJ) opinion dynamics model, where the influencer is modeled as a fully stubborn agent and leadership is quantified by…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Lingfei Wang , Yu Xing , Yuhao Yi , Ming Cao , Karl H. Johansson

In this work, we consider a strongly connected group of individuals involved in decision-making. The opinions of the individuals evolve using the Friedkin-Johnsen (FJ) model. We consider that there are two competing `influencers' (stubborn…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Aashi Shrinate , Twinkle Tripathy

In this paper, we present a model of a trust-based recommendation system on a social network. The idea of the model is that agents use their social network to reach information and their trust relationships to filter it. We investigate how…

Adaptation and Self-Organizing Systems · Physics 2008-09-07 Frank E. Walter , Stefano Battiston , Frank Schweitzer

The effectiveness of multi-agent LLM deliberation depends not only on the agents' individual predictions, but also on how they communicate and collaborate. We study this mechanism through the lens of Friedkin-Johnsen (FJ) opinion dynamics,…

Multiagent Systems · Computer Science 2026-05-26 Franka Bause , Jonas Niederle , Martin Pawelczyk , Rebekka Burkholz

The growing reliance on online services underscores the crucial role of recommendation systems, especially on social media platforms seeking increased user engagement. This study investigates how recommendation systems influence the impact…

Social and Information Networks · Computer Science 2024-05-24 Sriniwas Pandey , Hiroki Sayama
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