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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…

最优化与控制 · 数学 2025-08-26 Paramahansa Pramanik

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…

社会与信息网络 · 计算机科学 2023-06-30 Haoxin Sun , Zhongzhi Zhang

In this paper, we present a novel model to characterize individual tendencies in repeated decision-making scenarios, with the goal of designing model-based control strategies that promote virtuous choices amidst social and external…

系统与控制 · 电气工程与系统科学 2025-03-06 Chiara Ravazzi , Valentina Breschi , Paolo Frasca , Fabrizio Dabbene , Mara Tanelli

A closed-loop control model to analyze the impact of recommendation systems on opinion dynamics within social networks is introduced. The core contribution is the development and formalization of model-free and model-based approaches to…

系统与控制 · 电气工程与系统科学 2024-03-12 Ben Sprenger , Giulia De Pasquale , Raffaele Soloperto , John Lygeros , Florian Dörfler

In this work we are interested in the modelling and control of opinion dynamics spreading on a time evolving network with scale-free asymptotic degree distribution. The mathematical model is formulated as a coupling of an opinion alignment…

最优化与控制 · 数学 2015-11-03 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

This paper investigates the social optimality of linear quadratic mean field control systems with unmodeled dynamics. The objective of agents is to optimize the social cost, which is the sum of costs of all agents. By variational analysis…

最优化与控制 · 数学 2020-11-30 Bing-Chang Wang , Yong Liang

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,…

系统与控制 · 电气工程与系统科学 2025-02-04 Valentina Breschi , Chiara Ravazzi , Paolo Frasca , Fabrizio Dabbene , Mara Tanelli

We consider two optimization problems in which a planner aims to influence the average transient opinion in the Friedkin-Johnsen dynamics on a network by intervening on the agents' innate opinions. Solving these problems requires full…

物理与社会 · 物理学 2025-09-04 Leonardo Cianfanelli , Giacomo Como , Fabio Fagnani , Asuman Ozdaglar , Francesca Parise

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…

物理与社会 · 物理学 2024-04-16 Andrew Nugent , Susana N. Gomes , Marie-Therese Wolfram

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…

社会与信息网络 · 计算机科学 2025-11-05 Gengyu Wang , Runze Zhang , Zhongzhi Zhang

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…

系统与控制 · 电气工程与系统科学 2026-03-12 Simone Mariano , Paolo Frasca

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…

社会与信息网络 · 计算机科学 2026-02-10 Moses Boudourides

The bulk of the literature on opinion optimization in social networks adopts the Friedkin-Johnsen (FJ) opinion dynamics model, in which the innate opinions of all nodes are known: this is an unrealistic assumption. In this paper, we study…

社会与信息网络 · 计算机科学 2025-01-29 Federico Cinus , Atsushi Miyauchi , Yuko Kuroki , Francesco Bonchi

In this paper, we investigate the consensus models on the sphere with control signals, where both the first and second order systems are considered. We provide the existence of the optimal control-trajectory pair and derive the first order…

动力系统 · 数学 2022-08-11 Hui Huang , Hansol Park

The emerging social network platforms enable users to share their own opinions, as well as to exchange opinions with others. However, adversarial network perturbation, where malicious users intentionally spread their extreme opinions,…

计算机与社会 · 计算机科学 2023-04-26 Yuejiang Li , Zhanjiang Chen , H. Vicky Zhao

Public opinion governance in social networks is critical for public health campaigns, political elections, and commercial marketing. In this paper, we addresse the problem of maximizing overall opinion in social networks by strategically…

社会与信息网络 · 计算机科学 2026-03-12 Gengyu Wang , Runze Zhang , Zhongzhi Zhang

Online social networks are ubiquitous parts of modern societies and the discussions that take place in these networks impact people's opinions on diverse topics, such as politics or vaccination. One of the most popular models to formally…

社会与信息网络 · 计算机科学 2024-04-26 Stefan Neumann , Yinhao Dong , Pan Peng

In this paper, we propose a technique for the estimation of the influence matrix in a sparse social network, in which $n$ individual communicate in a gossip way. At each step, a random subset of the social actors is active and interacts…

系统与控制 · 计算机科学 2019-03-27 Chiara Ravazzi , Sarah Hojjatinia , Constantino M. Lagoa , Fabrizio Dabbene

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…

系统与控制 · 电气工程与系统科学 2025-02-07 Hossein Rastgoftar

In this paper an optimal control problem for a large system of interacting agents is considered using a kinetic perspective. As a prototype model we analyze a microscopic model of opinion formation under constraints. For this problem a…

最优化与控制 · 数学 2014-01-31 Giacomo Albi , Michael Herty , Lorenzo Pareschi
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