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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

The emergence of structure in cooperative relation is studied in a game theoretical model. It is proved that specific types of reciprocity norm lead individuals to split into two groups. The condition for the evolutionary stability of the…

Physics and Society · Physics 2021-09-01 Koji Oishi , Takashi Shimada , Nobuyasu Ito

Understanding how an individual changes its attitude, belief, and opinion due to other people's social influences is vital because of its wide implications. A core methodology that is used to study the change of attitude under social…

Social and Information Networks · Computer Science 2023-06-07 Yun-Shiuan Chuang , Timothy T. Rogers

A social interaction is a social exchange between two or more individuals,where individuals modify and adjust their behaviors in response to their interaction partners. Our social interactions are one of most fundamental aspects of our…

Computer Vision and Pattern Recognition · Computer Science 2018-02-01 Behnaz Nojavanasghari , Yuchi Huang , Saad Khan

We survey some recent developments on the mathematical modeling of opinion dynamics. After an introduction on opinion modeling through interacting multi-agent systems described by partial differential equations of kinetic type, we focus our…

Physics and Society · Physics 2016-07-21 Giacomo Albi , Lorenzo Pareschi , Giuseppe Toscani , Mattia Zanella

We developed a coupled social-climate network model to understand the interaction between climate change opinion spread and the climate system and determine the role of this interaction in shaping collective actions and global temperature…

Dynamical Systems · Mathematics 2025-03-07 Athira Satheesh Kumar , Krešimir Josić , Chris T Bauch , Madhur Anand

We define an opinion formation model of agents in a 1d ring, where the opinion of an agent evolves due to its interactions with close neighbors and due to its either positive or negative attitude toward the overall mood of all the other…

Physics and Society · Physics 2012-05-22 Gerardo Iñiguez , János Kertész , Kimmo K. Kaski , R. A. Barrio

In this paper, we present computational models to predict Twitter users' attitude towards a specific brand through their personal and social characteristics. We also predict their likelihood to take different actions based on their…

Social and Information Networks · Computer Science 2017-04-18 Jalal Mahmud , Geli Fei , Anbang Xu , Aditya Pal , Michelle Zhou

When interpersonal interactions between individuals are described by the (discrete or continuous) dynamical systems, the interactions are usually assumed to be instantaneous: the rates of change of the actual states of the actors at given…

Dynamical Systems · Mathematics 2012-02-17 Natalia Bielczyk , Urszula Foryś , Tadeusz Płatkowski

Three theories offer competing predictions about how people respond to growing diversity in their social environment. Contact theory suggests more exposure to out-groups reduces prejudice; conflict theory predicts a stronger in-group…

The study of marriage dynamics and of strategies to reduce the likelihood of divorce has been an important research area for many years. Gottman's research on successful marriages revealed three matched interaction styles:…

Optimization and Control · Mathematics 2024-06-12 Micah Henson , Mark Kot , Ka-Kit Tung

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

Frequently we revise our first opinions after talking over with other individuals because we get convinced. Argumentation is a verbal and social process aimed at convincing. It includes conversation and persuasion. In this case, the…

Physics and Society · Physics 2017-04-26 Juan Pablo Pinasco , Viktoriya Semeshenko , Pablo Balenzuela

The link between attitudes and behaviour has been a key topic in choice modelling for two decades, with the widespread application of ever more complex hybrid choice models. This paper proposes a pragmatic and computationally tractable…

Econometrics · Economics 2026-04-15 Akshay Vij , Stephane Hess

We introduce a probabilistic pairwise \emph{attraction--repulsion} model for opinion dynamics on multilayer social networks, in which agents hold layer-specific states and interact through random matchings that couple multiple, time-varying…

Dynamical Systems · Mathematics 2025-12-23 Hsin-Lun Li

Two-sided matching markets have long existed to pair agents in the absence of regulated exchanges. A common example is school choice, where a matching mechanism uses student and school preferences to assign students to schools. In such…

Machine Learning · Computer Science 2021-09-17 Stefania Ionescu , Yuhao Du , Kenneth Joseph , Anikó Hannák

Situations where individuals have to contribute to joint efforts or share scarce resources are ubiquitous. Yet, without proper mechanisms to ensure cooperation, the evolutionary pressure to maximize individual success tends to create a…

Physics and Society · Physics 2010-05-03 Dirk Helbing , Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

We survey a range of models of opinion exchange. From the introduction: "The exchange of opinions between individuals is a fundamental social interaction... Moreover, many models in this field are an excellent playground for mathematicians,…

Probability · Mathematics 2017-07-11 Elchanan Mossel , Omer Tamuz

Agent-based models are versatile tools for studying how societal opinion change, including political polarization and cultural diffusion, emerges from individual behavior. This study expands agents' psychological realism using…

Multiagent Systems · Computer Science 2017-02-22 Peter Duggins

The cooperation mechanism of indirect reciprocity has been studied by making multiple variations of its parts. This research proposes a new variant of Nowak and Sigmund model, focused on agents' attitude; it is called Individualistic…