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This paper studies a recently proposed continuous-time distributed self-appraisal model with time-varying interactions among a network of $n$ individuals which are characterized by a sequence of time-varying relative interaction matrices.…

Optimization and Control · Mathematics 2017-03-17 Weiguo Xia , Ji Liu , Tamer Basar , Xi-Ming Sun

The influence of the social relationships of an individual on the individual's opinions (about a topic, a product, or whatever else) is a well known phenomenon and it has been widely studied. This paper considers a network of positive (i.e.…

Computational Complexity · Computer Science 2022-12-01 Miriam Di Ianni

In the social, behavioral, and economic sciences, it is an important problem to predict which individual opinions will eventually dominate in a large population, if there will be a consensus, and how long it takes a consensus to form. This…

Physics and Society · Physics 2018-02-28 X. Flora Meng , Robert A. Van Gorder , Mason A. Porter

The heterogeneity of the influence processes is an important feature of social systems: how we perceive social influence and how we influence other individuals is heavily influenced by our opinion and non-opinion attributes. The latter…

Social and Information Networks · Computer Science 2022-09-07 Ivan V. Kozitsin

Interest is growing in social learning models where users share opinions and adjust their beliefs in response to others. This paper introduces generalized-bias opinion models, an extension of the DeGroot model, that captures a broader range…

Social and Information Networks · Computer Science 2024-09-18 Juan Paz , Camilo Rocha , Luis Tobòn , Frank Valencia

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

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…

Social and Information Networks · Computer Science 2017-05-18 Qingxing Dong , Xin Zhou

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

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

What drives the propensity for the social network dynamics? Social influence is believed to drive both off-line and on-line human behavior, however it has not been considered as a driver of social network evolution. Our analysis suggest…

Physics and Society · Physics 2016-05-27 Yang Yang , Nitesh V. Chawla , Ryan N. Lichtenwalter , Yuxiao Dong

Discovering the antecedents of individuals' influence in collaborative environments is an important, practical, and challenging problem. In this paper, we study interpersonal influence in small groups of individuals who collectively execute…

Social and Information Networks · Computer Science 2025-11-05 Omid Askarisichani , Elizabeth Y. Huang , Abed K. Musaffar , Noah E. Friedkin , Francesco Bullo , Ambuj K. Singh

In social systems, the evolution of interpersonal appraisals and individual opinions are not independent processes but intertwine with each other. Despite extensive studies on both opinion dynamics and appraisal dynamics separately, no…

Systems and Control · Electrical Eng. & Systems 2020-05-25 Fangzhou Liu , Shaoxuan Cui , Wenjun Mei , Florian Dorfler , Martin Buss

Many processes related to status, power, and influence within social networks have been modeled using forced linear diffusion models; examples include the highly successful Friedkin-Johnsen model of social influence, the status/power scores…

Social and Information Networks · Computer Science 2026-04-28 Alexander Murray-Watters , Cheng Wang , John R. Hipp , Cynthia Lakon , Carter T. Butts

In this paper, we study a model of opinion dynamics in a social network in the presence increasing interpersonal influence, i.e., increasing peer pressure. Each agent in the social network has a distinct social stress function given by a…

Social and Information Networks · Computer Science 2017-06-20 Justin Semonsen , Christopher Griffin , Anna Squicciarini , Sarah Rajtmajer

Many societies are organized in networks that are formed by people who meet and interact over time. In this paper, we present a first model to capture the micro-foundations of social networks evolution, where boundedly rational agents of…

Social and Information Networks · Computer Science 2015-08-17 Ahmed M. Alaa , Kartik Ahuja , Mihaela van der Schaar

Societies experience politically stable and unstable phases along history, whereas political power is usually passed to new elite groups by these changes. Structural dynamics of the elites in a society have been proposed to be one of the…

Physics and Society · Physics 2025-11-24 Alexander Jochim , Stefan Bornholdt

Social interactions influence our thoughts, opinions and actions. In this paper, social interactions are studied within a group of individuals composed of influential social leaders and followers. Each person is assumed to maintain a social…

Systems and Control · Computer Science 2014-02-25 Zhen Kan , Justin Klotz , Eduardo L. Pasiliao , Warren E. Dixon

The Friedkin-Johnsen (FJ) model introduces prejudice into the opinion evolution and has been successfully validated in many practical scenarios; however, due to its weighted average mechanism, only one prejudiced agent can always guide all…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Ruichang Zhang , Zhixin Liu , Ge Chen , Wenjun Mei

We revisit DeGroot learning to examine the robustness of social learning in dynamic networks -- networks that evolve randomly over time. Dynamics have double-edged effects depending on social structure: while they can foster consensus and…

Theoretical Economics · Economics 2025-06-04 Florian Mudekereza

In this paper, we propose a new model for continuous time opinion dynamics on an evolving network. As opposed to existing models, in which the network typically evolves by discretely adding or removing edges, we instead propose a model for…

Physics and Society · Physics 2023-05-17 Andrew J. Nugent , Susana N. Gomes , Marie-Therese Wolfram