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The Lucas-Moll system is a mean-field game type model describing the growth of an economy by means of diffusion of knowledge. The individual agents in the economy advance their knowledge by learning from each other and via internal…

Analysis of PDEs · Mathematics 2024-09-19 Henri Berestycki , Alexei Novikov , Jean-Michel Roquejoffre , Lenya Ryzhik

We study opinion dynamics in a population of interacting adaptive agents voting on a set of complex multidimensional issues. We consider agents which can classify issues into for or against. The agents arrive at the opinions about each…

Physics and Society · Physics 2009-03-11 Renato Vicente , Andre C. R. Martins , Nestor Caticha

Viral marketing takes advantage of preexisting social networks among customers to achieve large changes in behaviour. Models of influence spread have been studied in a number of domains, including the effect of "word of mouth" in the…

Computer Science and Game Theory · Computer Science 2008-09-08 Hamed Amini , Moez Draief , Marc Lelarge

Social influence drives both offline and online human behaviour. It pervades cultural markets, and manifests itself in the adoption of scientific and technical innovations as well as the spread of social practices. Prior empirical work on…

Physics and Society · Physics 2014-07-14 J. -P. Onnela , F. Reed-Tsochas

A multi-agent model for individuals endowed with strategies and subject to diffusive effects is proposed. The microscopic state of each agent is described by a spatial position and a probability measure, interpreted as a mixed strategy,…

Analysis of PDEs · Mathematics 2026-03-24 Alessandro Baldi , Marco Morandotti

We analyze the effect of boundaries in the discrete Bass model on D-dimensional Cartesian networks. In 2D, this model describes the diffusion of new products that spread primarily by spatial peer effects, such as residential photovoltaic…

Physics and Society · Physics 2024-01-05 Gadi Fibich , Tomer Levin , Kenneth Gillingham

In this work, the aim is to study the diffusion of innovation of two competing products. The main focus has been to understand the effects of the competitive dynamic market on the diffusion of innovation. The global smartphone operating…

Physics and Society · Physics 2021-03-16 Semra Gunduc

This work proposes a hybrid model that combines the Galam model of opinion dynamics with the Bass diffusion model used in technology adoption on Barabasi-Albert complex networks. The main idea is to advance a version of the Bass model that…

Physics and Society · Physics 2025-09-10 Giulia Rotundo , Roy Cerqueti , Gurjeet Dhesi , Claudiu Herteliu , Parmjit Kaur , Marcel Ausloos

We construct a model of innovation diffusion that incorporates a spatial component into a classical imitation-innovation dynamics first introduced by F. Bass. Relevant for situations where the imitation process explicitly depends on the…

Exactly Solvable and Integrable Systems · Physics 2015-03-19 Fariba Hashemi , Max-Olivier Hongler , Olivier Gallay

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

To study the effect of boundaries on diffusion of new products, we introduce two novel analytic tools: The indifference principle, which enables us to explicitly compute the aggregate diffusion on various networks, and the dominance…

Social and Information Networks · Computer Science 2019-04-15 Gadi Fibich , Tomer Levin , Oren Yakir

Research on social contagion dynamics has not yet including a theoretical analysis of the ubiquitous local trend imitation (LTI) characteristic. We propose a social contagion model with a tent-like adoption probability distribution to…

Physics and Society · Physics 2017-09-26 Xuzhen Zhu , Wei Wang , Shimin Cai , H. Eugene Stanley

Social learning, a fundamental process through which individuals shape their beliefs and perspectives via observation and interaction with others, is critical for the development of our society and the functioning of social governance.…

Social and Information Networks · Computer Science 2024-10-22 Yiqing Lin , Zhanjiang Chen , Huisheng Wang , H. Vicky Zhao

Information diffusion in social networks facilitates rapid and large-scale propagation of content. However, spontaneous diffusion behavior could also lead to the cascading of sensitive information, which is neglected in prior arts. In this…

Social and Information Networks · Computer Science 2018-09-11 Yucheng Lu , Xudong Wu , Jingfan Meng , Luoyi Fu , Xinbing Wang

We propose a generalization of the Bass diffusion model in discrete-time that explicitly models the effect of price in adoption. Our model is different from earlier price-incorporated models and fits well to adoption data for various…

Systems and Control · Electrical Eng. & Systems 2025-12-04 Yijin Wang , Subhonmesh Bose

Collective adaptation, whether in innovation adoption, pro-environmental or organizational change, emerges from the interplay between individual decisions and social influence. Agent-based modeling provides a useful tool for studying such…

Physics and Society · Physics 2025-10-29 Angelika Abramiuk-Szurlej , Katarzyna Sznajd-Weron

Despite the vast literature on the diffusion of innovations that impacts a broad range of disciplines, our understanding of the abandonment of innovations remains limited yet is essential for a deeper understanding of the innovation…

Physics and Society · Physics 2024-12-11 Binglu Wang , Ching Jin , Chaoming Song , Johannes Bjelland , Brian Uzzi , Dashun Wang

Innovation diffusion in the networked population is an essential process that drives the progress of human society. Despite the recent advances in network science, a fundamental understanding of network properties that regulate such…

Physics and Society · Physics 2023-01-03 Leyang Xue , Kai-Cheng Yang , Peng-Bi Cui , Zengru Di

Bias in large language models (LLMs) remains a persistent challenge, manifesting in stereotyping and unfair treatment across social groups. While prior research has primarily focused on individual models, the rise of multi-agent systems…

Multiagent Systems · Computer Science 2025-10-14 Thi-Nhung Nguyen , Linhao Luo , Thuy-Trang Vu , Dinh Phung

Despite the advanced stage of epidemic modeling, there is a major demand for methods to incorporate behavioral responses to the spread of a disease such as social distancing and adoption of prevention methods. Mobility plays an important…

Physics and Society · Physics 2022-03-14 Paulo Cesar Ventura , Alberto Aleta , Francisco A. Rodrigues , Yamir Moreno
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