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In this paper, we investigate the self-affirmation effect on formation of public opinion in a directed small-world social network. The system presents a non-equilibrium phase transition from a consensus state to a disordered state with…

Physics and Society · Physics 2009-11-13 Luo-Luo Jiang , Da-Yin Hua , Jun-Fang Zhu , Bing-Hong Wang , Tao Zhou

We study distributed knowledge, which is what privately informed agents come to know by communicating freely with one another and sharing everything they know. Knowledge is not necessarily partitional: agents may be boundedly rational and…

Theoretical Economics · Economics 2025-05-13 Michele Crescenzi

In this work we study opinion formation in a population participating of a public debate with two distinct choices. We considered three distinct mechanisms of social interactions and individuals' behavior: conformity, nonconformity and…

Physics and Society · Physics 2015-12-11 Nuno Crokidakis , Paulo Murilo Castro de Oliveira

The average portfolio structure of institutional investors is shown to have properties which account for transaction costs in an optimal way. This implies that financial institutions unknowingly display collective rationality, or Wisdom of…

Statistical Finance · Quantitative Finance 2017-09-05 Kevin Primicerio , Damien Challet , Stanislao Gualdi

The existing consensus is that flocks are poised at criticality, entailing long correlation lengths and a maximal value of Shannon mutual information in the large-system limit. We show, by contrast, that for finite flocks in the long…

Statistical Mechanics · Physics 2018-03-14 Lionel Barnett , Joshua Brown , Terry Bossomaier

Simple yet predictive mathematical models are essential for mechanistic understanding of opinion evolution in social groups. The weighted-median mechanism has recently been proposed as a well-founded alternative to conventional DeGroot-type…

Systems and Control · Electrical Eng. & Systems 2025-11-27 Yi Han , Julien M. Hendrickx , Ge Chen , Wenjun Mei

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…

Systems and Control · Computer Science 2019-03-27 Chiara Ravazzi , Sarah Hojjatinia , Constantino M. Lagoa , Fabrizio Dabbene

Success-driven social learning, in which individuals preferentially adopt the ideas and methods that appear most successful, is a foundational principle of collective behavior across systems ranging from ant colonies to scientific…

Physics and Society · Physics 2026-05-01 Avery W. Louis , Marina Dubova

This paper considers a discrete-time opinion dynamics model in which each individual's susceptibility to being influenced by others is dependent on her current opinion. We assume that the social network has time-varying topology and that…

Social and Information Networks · Computer Science 2024-10-24 Ji Liu , Mengbin Ye , Brian D. O. Anderson , Tamer Başar , Angelia Nedić

By incorporating a multilayer network and time-decaying memory into the original voter model, the coupled effects of spatial and temporal cumulation of peer pressure on consensus are investigated. Heterogeneity in peer pressure and…

Physics and Society · Physics 2016-05-25 Li-Xin Zhong , Wen-Juan Xu , Rong-Da Chen , Chen-Yang Zhong , Tian Qiu , Yong-Dong Shi , Li-Liang Wang

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

Understanding the process of learning in neural networks is crucial for improving their performance and interpreting their behavior. This can be approximately understood by asking how a model's output is influenced when we fine-tune on a…

Machine Learning · Computer Science 2024-06-04 Jordan K. Matelsky , Lyle Ungar , Konrad P. Kording

Strongly opinionated minorities can have a dramatic impact on the opinion dynamics of a large population. Two factions of inflexible minorities, polarised into two competing opinions, could lead the entire population to persistent…

Biological Physics · Physics 2023-07-26 Andreagiovanni Reina , Raina Zakir , Giulia De Masi , Eliseo Ferrante

Cognitive biases are widespread in humans and animals alike, and can sometimes be reinforced by social interactions. One prime bias in judgment and decision-making is the human tendency to underestimate large quantities. Previous research…

Physics and Society · Physics 2022-01-12 Bertrand Jayles , Clément Sire , Ralf H. J. M Kurvers

We study the effect of finite size population in Galam's model [Eur. Phys. J. B 25 (2002) 403] of minority opinion spreading and introduce neighborhood models that account for local spatial effects. For systems of different sizes N, the…

Other Condensed Matter · Physics 2009-05-27 C. J. Tessone , R. Toral , P. Amengual , H. S. Wio , M. San Miguel

In this paper, we study the evolution of opinions over social networks with bounded confidence in social cliques. Node initial opinions are independently and identically distributed; at each time step, nodes review the average opinions of a…

Social and Information Networks · Computer Science 2021-07-13 Jiangbo Zhang , Deming Yuan , Lei Wang , Claudio Altafini , Guodong Shi

Among the different disciplines in the social, behavioral and economic sciences, a fundamental class of problems is related to the prediction of the final state of the presence of individual opinions in a large population. The main aspects…

Physics and Society · Physics 2020-10-06 Luca Marconi , Federico Cecconi

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

Numerous algorithms have been developed for online product rating prediction, but the specific influence of user and product information in determining the final prediction score remains largely unexplored. Existing research often relies on…

Social and Information Networks · Computer Science 2024-09-10 Liang Wang , Shubham Jain , Yingtong Dou , Junpeng Wang , Chin-Chia Michael Yeh , Yujie Fan , Prince Aboagye , Yan Zheng , Xin Dai , Zhongfang Zhuang , Uday Singh Saini , Wei Zhang

The wisdom of crowds has been shown to operate not only for factual judgments but also in matters of taste, where accuracy is defined relative to an individual's preferences. However, it remains unclear how different types of social signals…

Physics and Society · Physics 2026-02-12 Itsuki Fujisaki , Kunhao Yang