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We consider a set of consumers in a city or town (who thus generate pollution) whose opinion is governed by a continuous opinion and discrete action (CODA) dynamics model. This dynamics is coupled with an observation signal dynamics, which…

Optimization and Control · Mathematics 2025-03-14 Anthony Couthures , Thomas Mongaillard , Vineeth S. Varma , Samson Lasaulce , Irinel-Constantin Morarescu

When the full stock of a new product is quickly sold in a few days or weeks, one has the impression that new technologies develop and conquer the market in a very easy way. This may be true for some new technologies, for example the cell…

Physics and Society · Physics 2012-08-14 Sebastian Goncalves , M. F. Laguna , J. R. Iglesias

The spread of opinions, memes, diseases, and "alternative facts" in a population depends both on the details of the spreading process and on the structure of the social and communication networks on which they spread. In this paper, we…

Physics and Society · Physics 2019-03-06 Jonas S. Juul , Mason A. Porter

The spread of new products in a networked population is often modeled as an epidemic. However, in the case of `complex' contagion, these models {do not capture nuanced, dynamic social reinforcement effects in adoption behavior}. In this…

Systems and Control · Computer Science 2019-02-15 Sebastian F. Ruf , Keith Paarporn , Philip E. Paré

We study binary opinion dynamics in a fully connected network of interacting agents. The agents are assumed to interact according to one of the following rules: (1) Voter rule: An updating agent simply copies the opinion of another randomly…

Probability · Mathematics 2022-03-04 Arpan Mukhopadhyay , Ravi R. Mazumdar , Rahul Roy

We propose a model for the diffusion of several products competing in a common market based on the generalization of the Ising model of statiscal mechanics (Potts model). Using an agent based implementation, we analyze two problems: (i) a…

Applications · Statistics 2015-06-16 Carlos E. Laciana , Nicolas Oteiza Aguirre

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

This paper proposes and analyzes a novel multi-agent opinion dynamics model in which agents have access to actions which are quantized version of the opinions of their neighbors. The model produces different behaviors observed in social…

Dynamical Systems · Mathematics 2016-02-08 N. R. Chowdhury , I. -C. Morarescu , S. Martin , S. Srikant

A model where agents show discrete behavior regarding their actions, but have continuous opinions that are updated by interacting with other agents is presented. This new updating rule is applied to both the voter and Sznajd models for…

Physics and Society · Physics 2008-08-11 Andre C. R. Martins

The dynamics of adoption of innovations is an important subject in many fields and areas, like technological development, industrial processes, social behavior, fashion or marketing. The number of adopters of a new technology generally…

Physics and Society · Physics 2017-06-28 Mirta B. Gordon , M. F. Laguna , S. Goncalves , J. R. Iglesias

Social identities are among the key factors driving behavior in complex societies. Signals of social identity are known to influence individual behaviors in the adoption of innovations. Yet the population-level consequences of identity…

Physics and Society · Physics 2016-07-25 Paul E. Smaldino , Marco A. Janssen , Vicken Hillis , Jenna Bednar

Understanding how sustainable behaviors spread within heterogeneous societies requires the integration of behavioral data, social influence mechanisms, and structured approaches to control. In this paper, we propose a data-driven…

Social and Information Networks · Computer Science 2025-11-17 Martina Alutto , Sofia Bellotti , Fabrizio Dabbene , Chiara Ravazzi

Recent years saw an increased interest in modeling and understanding the mechanisms of opinion and innovation spread through human networks. Using analysis of real-world social data, researchers are able to gain a better understanding of…

Social and Information Networks · Computer Science 2016-03-29 Ajay Saini , Natasha Markuzon

Opinion Dynamics is an interdisciplinary area of research. Psychology and Sociology have proposed models of how individuals form opinions and how social interactions influence this process. Socio-Physicists have interpreted patterns in…

Multiagent Systems · Computer Science 2024-07-03 Sudhakar Krisharao , Shaja Arul Selvamani

Goods, styles, ideologies are adopted by society through various mechanisms. In particular, adoption driven by innovation is extensively studied by marketing economics. Mathematical models are currently used to forecast the sales of…

Physics and Society · Physics 2014-04-02 Baptiste Coulmont , Virginie Supervie , Romulus Breban

In recent years, opinion dynamics has received an increasing attention, and various models have been introduced and evaluated mainly by simulation. In this study, we introduce and study a dynamical model inspired by the so-called `bounded…

Dynamical Systems · Mathematics 2018-11-07 Sergei Yu. Pilyugin , M. C. Campi

We introduce and study a novel majority-based opinion diffusion model. Consider a graph $G$, which represents a social network. Assume that initially a subset of nodes, called seed nodes or early adopters, are colored either black or white,…

Data Structures and Algorithms · Computer Science 2020-12-08 Ahad N. Zehmakan

In modern interconnected societies, opinions and beliefs can quickly spread across large populations, giving rise to collective behaviors such as the adoption of social norms or polarization. These phenomena have motivated many models aimed…

Physics and Society · Physics 2026-05-27 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat

We propose a stochastic model describing a process of awareness, evaluation and decision-making by agents on the d-dimensional integer lattice. Each agent may be in any of the three states belonging to the set {0, 1, 2}. In this model 0…

Probability · Mathematics 2016-02-08 Cristian F. Coletti , Karina B. E. de Oliveira , Pablo M. Rodriguez

A person's decision to adopt an idea or product is often driven by the decisions of peers, mediated through a network of social ties. A common way of modeling adoption dynamics is to use threshold models, where a node may become an adopter…

Physics and Society · Physics 2014-06-30 Ville-Pekka Backlund , Jari Saramäki , Raj Kumar Pan