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We investigate opinion dynamics in multi-agent networks when a bias toward one of two possible opinions exists; for example, reflecting a status quo vs a superior alternative. Starting with all agents sharing an initial opinion representing…

Multiagent Systems · Computer Science 2021-03-09 Aris Anagnostopoulos , Luca Becchetti , Emilio Cruciani , Francesco Pasquale , Sara Rizzo

Understanding how opinions spread through a community or how consensus emerges in noisy environments can have a significant impact on our comprehension of social relations among individuals. In this work a model for the dynamics of opinion…

Physics and Society · Physics 2009-11-13 V. Schwammle , M. C. Gonzalez , A. A. Moreira , J. S. Jr. Andrade , H. J. Herrmann

We consider a dynamic social network model in which agents play repeated games in pairings determined by a stochastically evolving social network. Individual agents begin to interact at random, with the interactions modeled as games. The…

Probability · Mathematics 2007-05-23 Brian Skyrms , Robin Pemantle

We consider a system in which a group of agents represented by the vertices of a graph synchronously update their opinion based on that of their neighbours. If each agent adopts a positive opinion if and only if that opinion is sufficiently…

Combinatorics · Mathematics 2020-08-12 John Haslegrave , Chris Cannings

We show that the dynamics of simple disordered models, like the directed Trap Model and the Random Energy Model, takes place at a coexistence point between active and inactive dynamical phases. We relate the presence of a dynamic phase…

Statistical Mechanics · Physics 2008-09-03 Kristina Van Duijvendijk , Grégory Schehr , Frédéric Van Wijland

Dynamical processes exhibiting absorbing states are essential in the modeling of a large variety of situations from material science to epidemiology and social sciences. Such processes exhibit the possibility of avalanching behavior upon…

The dynamics of opinion formation in large groups of people is a complex non-linear phenomenon whose investigation is just at the beginning. Both collective behaviour and personal view play an important role in this mechanism. In the…

Physics and Society · Physics 2010-02-17 M. Bartolozzi , B. Leinweber , A. W. Thomas

Here we provide a detailed analysis, along with some extensions and additonal investigations, of a recently proposed self-organised model for the evolution of complex networks. Vertices of the network are characterised by a fitness variable…

Physics and Society · Physics 2008-08-29 Guido Caldarelli , Andrea Capocci , Diego Garlaschelli

Temporal social networks are characterized by {heterogeneous} duration of contacts, which can either follow a power-law distribution, such as in face-to-face interactions, or a Weibull distribution, such as in mobile-phone communication.…

Physics and Society · Physics 2013-07-23 Kun Zhao , Márton Karsai , Ginestra Bianconi

We investigate the collective behavior of a system of social agents subject to the competition between two mass media influences considered as external fields. We study under what conditions either of two mass media with different…

Physics and Society · Physics 2024-05-09 O. Alvarez-Llamoza , M. G. Cosenza , J. C. Gonzalez-Avella , M. A. Suarez , K. Tucci , P. Valverde

Population dynamics in random ecological networks are investigated by analyzing a simple deterministic equation. It is found that a sequence of abrupt changes of populations punctuating quiescent states characterize the long time behavior.…

chao-dyn · Physics 2008-02-03 Shin-ichi Sasa , Tsuyoshi Chawanya

The paper studies the problem of steering multi-dimensional opinion in a social network. Assuming the society of desire consists of stubborn and regular agents, stubborn agents are considered as leaders who specify the desired opinion…

Systems and Control · Electrical Eng. & Systems 2025-02-07 Hossein Rastgoftar

To describe the nonequilibrium states of a system we introduce a new thermodynamic parameter - the lifetime of a system. The statistical distributions which can be obtained out of the mesoscopic description characterizing the behaviour of a…

Statistical Mechanics · Physics 2007-05-23 V. V. Ryazanov

Virtually all real-world networks are dynamical entities. In social networks, the propensity of nodes to engage in social interactions (activity) and their chances to be selected by active nodes (attractiveness) are heterogeneously…

Physics and Society · Physics 2017-06-13 Laura Alessandretti , Kaiyuan Sun , Andrea Baronchelli , Nicola Perra

The deterministic dynamics of randomly connected neural networks are studied, where a state of binary neurons evolves according to a discreet-time synchronous update rule. We give a theoretical support that the overlap of systems' states…

Statistical Mechanics · Physics 2015-03-10 Taro Toyoizumi , Haiping Huang

We study the stochastic dynamics of coupled states with transition probabilities depending on local persistence, this is, the time since a state has changed. When the population has a preference to adopt older states the system orders…

Physics and Society · Physics 2016-03-22 Toni Pérez , Konstantin Klemm , Víctor M. Eguíluz

Networks of globally coupled, noise activated, bistable elements with connection time delays are considered. The dynamics of these systems is studied numerically using a Langevin description and analytically using (1) a Gaussian…

Statistical Mechanics · Physics 2009-11-11 Daniel Huber , Lev Tsimring

Active biological flow networks pervade nature and span a wide range of scales, from arterial blood vessels and bronchial mucus transport in humans to bacterial flow through porous media or plasmodial shuttle streaming in slime molds.…

Biological Physics · Physics 2016-07-28 Francis G. Woodhouse , Aden Forrow , Joanna B. Fawcett , Jörn Dunkel

The interplay between topology and dynamics in complex networks is a fundamental but widely unexplored problem. Here, we study this phenomenon on a prototype model in which the network is shaped by a dynamical variable. We couple the…

Statistical Mechanics · Physics 2008-06-13 Diego Garlaschelli , Andrea Capocci , Guido Caldarelli

Metastability is a physical phenomenon ubiquitous in first order phase transitions. A fruitful mathematical way to approach this phenomenon is the study of rare transitions Markov chains. For Metropolis chains associated with Statistical…

Probability · Mathematics 2015-09-30 Emilio Cirillo , Francesca Nardi , Julien Sohier