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We introduce a model, based on the Evolutionary Game Theory, for studying the dynamics of group formation. The latter constitutes a relevant phenomenon observed in different animal species, whose individuals tend to cluster together forming…

Populations and Evolution · Quantitative Biology 2018-02-07 Marco Alberto Javarone , Daniele Marinazzo

The aim of this paper is to study the derivation of appropriate meso- and macroscopic models for interactions as appearing in social processes. There are two main characteristics the models take into account, namely a network structure of…

Analysis of PDEs · Mathematics 2020-06-30 Martin Burger

We introduce a stochastic model of binary opinion dynamics in one dimension. The binary opinions $\pm 1$ are analogous to up and down Ising spins and in the equivalent spin system, only the spins at the domain boundary can flip. The…

Statistical Mechanics · Physics 2014-06-16 Suman Sinha , Soham Biswas , Parongama Sen

Social dynamics is concerned primarily with interactions among individuals and the resulting group behaviors, modeling the temporal evolution of social systems via the interactions of individuals within these systems. In particular, the…

Machine Learning · Statistics 2016-11-08 Zhen Xu , Wen Dong , Sargur Srihari

Traditionally, the formation of vocabularies has been studied by agent-based models (specially, the Naming Game) in which random pairs of agents negotiate word-meaning associations at each discrete time step. This paper proposes a first…

Computation and Language · Computer Science 2016-04-08 Javier Vera

It is not uncommon for certain social networks to divide into two opposing camps in response to stress. This happens, for example, in networks of political parties during winner-takes-all elections, in networks of companies competing to…

Adaptation and Self-Organizing Systems · Physics 2015-05-20 Seth A. Marvel , Jon M. Kleinberg , Robert D. Kleinberg , Steven H. Strogatz

Tipping points have been shown to be ubiquitous, both in models and empirically in a range of physical and biological systems. The question of how tipping points cascade through systems has been less well studied and is an important one. A…

Dynamical Systems · Mathematics 2020-11-19 Abhishek Mallela , Alan Hastings

Millions of online discussions are generated everyday on social media platforms. Topic modelling is an efficient way of better understanding large text datasets at scale. Conventional topic models have had limited success in online…

Computation and Language · Computer Science 2020-02-07 Yingcheng Sun , Kenneth Loparo , Richard Kolacinski

Consider a community where initially, each individual is positive or negative regarding a reform proposal. In each round, individuals gather randomly in fixed rooms of different sizes, and all individuals in a room agree on the majority…

Data Structures and Algorithms · Computer Science 2019-05-01 Bernd Gärtner , Ahad N. Zehmakan

In this paper, we describe a novel approach, based on Markov jump processes, to model small group conversational dynamics and to predict small group performance. More precisely, we estimate conversational events such as turn taking,…

Social and Information Networks · Computer Science 2012-04-18 Wen Dong , Bruno Lepri , Alex Pentland

When complex systems are driven to extinction by some external factor, their non-stationary dynamics can present an intermittent behaviour between relative tranquility and burst of activity whose consequences are often catastrophic. To…

Physics and Society · Physics 2018-03-21 Juan V Escobar , Isaac Pérez Castillo

The predominant approach to open-domain dialog generation relies on end-to-end training of neural models on chat datasets. However, this approach provides little insight as to what these models learn (or do not learn) about engaging in…

Computation and Language · Computer Science 2020-08-04 Abdelrhman Saleh , Tovly Deutsch , Stephen Casper , Yonatan Belinkov , Stuart Shieber

Conversational agents based on Large Language Models (LLMs) have recently emerged as powerful tools for human-computer interaction. Nevertheless, their black-box nature implies challenges in predictability and a lack of personalization,…

Computation and Language · Computer Science 2026-04-07 Barbara Gendron , Gaël Guibon , Mathieu d'Aquin

Strong positive feedback is considered a necessary condition to observe abrupt shifts of ecosystems. A few previous studies have shown that demographic noise -- arising from the probabilistic and discrete nature of birth and death processes…

Populations and Evolution · Quantitative Biology 2021-06-22 Sabiha Majumder , Ayan Das , Appilineni Kushal , Sumithra Sankaran , Vishwesha Guttal

Echo chambers and opinion polarization recently quantified in several sociopolitical contexts and across different social media, raise concerns on their potential impact on the spread of misinformation and on openness of debates. Despite…

Physics and Society · Physics 2020-02-28 Fabian Baumann , Philipp Lorenz-Spreen , Igor M. Sokolov , Michele Starnini

We study a discrete-time asynchronous midpoint dynamics on the circle in which, at each step, a uniformly chosen neighboring pair moves to the midpoint along the shortest arc. Although the update rule is locally contractive, we show that…

Probability · Mathematics 2026-03-23 Annika Brockhaus , Wioletta M. Ruszel , Cristian Spitoni

Densification and sparsification of temporal networks are attributed to two fundamental mechanisms: a change in the population in the system and/or a change in the chances that nodes in the system are connected. In theory, each of these…

Physics and Society · Physics 2021-02-05 Teruyoshi Kobayashi , Mathieu Génois

The processes leading to change in languages are manifold. In order to reduce ambiguity in the transmission of information, agreement on a set of conventions for recurring problems is favored. In addition to that, speakers tend to use…

Physics and Society · Physics 2015-06-17 Cristina-Maria Pop , Erwin Frey

The longstanding question of how stochastic behaviour arises from deterministic Hamiltonian dynamics is of great importance, and any truly holistic theory must be capable of describing this transition. In this review, we introduce the…

Statistical Mechanics · Physics 2020-12-02 Gerard McCaul , Denys I. Bondar

Current approaches to AI training treat reasoning as an emergent property of scale. We argue instead that robust reasoning emerges from linguistic self-reflection, itself internalized from high-quality social interaction. Drawing on…

Artificial Intelligence · Computer Science 2026-02-17 Claudiu Cristian Musat , Jackson Tolins , Diego Antognini , Jingling Li , Martin Klissarov , Tom Duerig